Valery Levitas Extended List of Publications

Total Publications: 430 scientific papers, including 3 books, 11 book chapters, and 275 refereed journal papers, along with 11 patents.
  1. Levitas V.I. Large Deformation of Materials with Complex Rheological Properties at Normal and High Pressure. New York, Nova Science Publishers, 1996.
  2. Pandey K. K. and Levitas V. I. In situ quantitative study of plastic strain-induced phase transformations under high pressure: Example for ultra-pure Zr. Acta Materialia, 2020, Vol. 196, 338-346. Supporting raw data: https://doi.org/10.25380/iastate.12563924.
  3. Babaei H. and Levitas V.I. Finite-strain scale-free phase-field approach to multivariant martensitic phase transformations with stress-dependent effective thresholds. Journal of the Mechanics and Physics of Solids, 2020, Vol. 144, 104114, 25 p.
  4. Esfahani S.E., Ghamarian I., and Levitas V.I. Strain-induced multivariant martensitic transformations: A scale-independent simulation of interaction between localized shear bands and microstructure. Acta Materialia, 2020, Vol. 196, 430-433.
  5. Chen H., Zarkevich N. A., Levitas V. I., Johnson D. D., and Zhang X. Fifth-degree elastic energy for predictive continuum stress-strain relations and elastic instabilities under large strain and complex loading in silicon. NPJ Computational Materials, 2020, Vol. 6, 115, 8 pages. Supporting raw data: https://doi.org/10.25380/iastate.12668843.
  6. Walzel R. K., Levitas V. I., Pantoya M. L. Aluminum Particle Reactivity as a Function of Alumina Shell Structure: Amorphous versus Crystalline. Powder Technology, 2020, Vol. 374, 33-39.
  7. Paul S., Momeni K., Levitas V.I. Shear-induced diamondization of multilayer graphene structures: A computational study. Carbon, 2020, Carbon, Vol. 167, pp. 140-147.
  8. Basak A. and Levitas V.I. Matrix-precipitate interface-induced martensitic transformation within nanoscale phase field approach: Effect of energy and dimensionless interface width. Acta Materialia, 2020, Vol. 189, 1-11.
  9. Babaei H. and Levitas V.I. Stress-measure dependence of phase transformation criterion under finite strains: Hierarchy of crystal lattice instabilities for homogeneous and heterogeneous transformations. Physical Review Letters, 2020,Vol. 124, No. 7, 075701. 
  10. Basak A. and Levitas V.I. An exact formulation for exponential-logarithmic transformation stretches in a multiphase phase field approach to martensitic transformations. Mathematics and Mechanics of Solids, 2020, Vol. 25, No. 6, 1219-1246.
  11. Hsieh S., Bhattacharyya P., Zu C., Mittiga T., Smart T. J., Machado F., Kobrin B., Höhn T. O., Rui N. Z., Kamrani M., Chatterjee S., Choi S., Zaletel M., Struzhkin V. V., Moore J. E., Levitas V.I., Jeanloz R., Yao N. Y. Imaging stress and magnetism at high pressures using a nanoscale quantum sensor. Science, 2019, Vol. 366, 6471, 1349-1354.
  12.  Hou H., Simsek E., Ma T., Johnson N. S., Qian S., Cissé C., Stasak D., Hasan N. A., Zhou L., Hwang Y., Radermacher R., Levitas V. I., Kramer M. J., Zaeem M. A., Stebner A. P., Ott R. T., Cui J., Takeuchi I. Fatigue-resistant high-performance elastocaloric materials via additive manufacturing. Science, 2019, Vol. 366, 6469, 1116-1121.
  13. Levitas V.I., Kamrani M., and Feng B. Tensorial stress-strain fields and large elastoplasticity as well as friction in diamond anvil cell up to 400 GPa. Nature PJ Computational Materials, 2019, 5, 94, 11 pp.
  14. Jafarzadeh H., Levitas V.I., Farrahic G. H., and Javanbakht M. Phase field approach for nanoscale interaction between crack propagation and phase transformation. Nanoscale, 2019, Vol. 11, 22243-22247.
  15. Pandey K. K. and Levitas V. I. In situ quantitative study of plastic strain-induced phase transformations under high pressure: Example for ultra-pure Zr. http://arxiv.org/abs/1912.03259, December 6, 2019, 14 pp.
  16. Babaei H. and Levitas V.I. Effect of 60o dislocation on transformation stresses, nucleation, and growth for phase transformations between silicon I and silicon II under triaxial loading: phase-field study. Acta Materialia, 2019, 177, 178-186.
  17.  Bello M. N., Williams A. M., Levitas V.I., Tamura N., Unruh D. K., Warzywoda
    J., and Pantoya M. L. Highly Reactive Energetic Films by Pre-Stressing Nano-Aluminum Particles. Royal Society of Chemistry Advances, 2019, Vol. 9, 40607-40617.
  18. Levitas V.I. High-Pressure Phase Transformations under Severe Plastic Deformation by Torsion in Rotational Anvils. Material Transactions, 2019, Vol. 60, No. 7, 1294-1301, invited review.
  19. Babaei H., Basak A., and Levitas V.I. Algorithmic aspects and finite element solutions for advanced phase field approach to martensitic phase transformation under large strains. Computational Mechanics, 2019, Vol. 64, 1177-1197.
  20. Gao Y., Ma Y., An Q., Levitas V. I., Zhang Y., Feng B., Chaudhuri J. and Goddard III W. A. Shear driven formation of nano-diamonds at sub-gigapascals and 300 K. Carbon, 2019, Vol. 146, 364-368.
  21. Feng B., Levitas V.I., and Li W. FEM modeling of plastic flow and strain-induced phase transformation in BN under high pressure and large shear in a rotational diamond anvil cell. International Journal of Plasticity, 2019, Vol. 113, 236-254.
  22. Basak A. and Levitas V.I. Finite element procedure and simulations for a multiphase phase field approach to martensitic phase transformations at large strains and with interfacial stresses. Computer Methods in Applied Mechanics and Engineering, 2019, Vol. 343, 368-406.
  23. Levitas V.I., Jafarzadeh H., Farrahic G. H., and Javanbakht M. Thermodynamically Consistent and Scale-Dependent Phase Field Approach for Crack Propagation Allowing for Surface Stresses. International Journal of Plasticity, 2018, Vol. 111, 1-35.
  24. Chen H., Levitas V.I., Xiong L. Amorphization Induced by 60o Shuffle Dislocation Pileup against Tilt Grain Boundaries in Silicon Bicrystal under Shear. Acta Materialia, 2019, Vol. 179, 287-295.
  25. Chen H., Levitas V.I., Xiong L. Slip of Shuffle Screw Dislocations through Tilt Grain Boundaries in Silicon. Computational Materials Science, 2019, Vol. 1, 132-135.
  26. Bowlan P., Henson B. F., Smilowitz L., Levitas V. I., Suvorova N., and
    Oschwald D. Kinetics of the gamma-delta phase transition in energetic nitramine-octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine. Journal of Chemical Physics, 2019, Vol. 159, No. 6, 064705.
  27. Kim T.-H., Ouyang G., Poplawsky J. D., Kramer M. J., Levitas V. I., Cui J., and Zhou L. In-situ TEM analysis of the phase transformation mechanism of a Cu-Al-Ni shape memory alloy. Journal of Alloys and Compounds, 2019, Vol. 808, 151743.
  28. Cui S., Ouyang G., Ma T., Macziewski C. R., Levitas V. I., Zhou L., Kramer M. J., and Cui J. Thermodynamic and kinetic analysis of the melt spinning process of Fe-6.5 wt.% Si alloy. Journal of Alloys and Compounds, 2019, Vol. 771, 643-648.
  29. Levitas V.I., Esfahani S.E., and Ghamarian I. Scale-free modeling of coupled evolution of discrete dislocation bands and multivariant martensitic microstructure. Physical Review Letters, 2018, Vol 121, 205701, 6 pages.
  30. Zarkevich N. A., Chen H., Levitas V.I., and Johnson D. D. Lattice instability during solid-solid structural transformations under general applied stress tensor: example of Si I -> Si II with metallization. Physical Review Letters, 2018, Vol. 121, 165701, 6 pages. Supporting data: https://doi.org/10.25380/iastate.7125368.
  31. Levitas V.I. Phase field approach for stress- and temperature-induced phase transformations that satisfies lattice instability conditions. Part I. General theory. International Journal of Plasticity, 2018, Vol. 106, 164-185.
  32. Babaei H. and Levitas V.I. Phase field approach for stress- and temperature-induced phase transformations that satisfies lattice instability conditions. Part 2. Simulations of phase transformations Si I↔Si II. International Journal of Plasticity, 2018, Vol. 107, 223-245.
  33. Basak A. and Levitas V.I. Phase field study of surface-induced melting and solidification from a nanovoid: effect of dimensionless width of void surface and void size. Applied Physics Letters, 2018, Vol. 112, No. 20, 201602, 5 pages.
  34. Feng B., Levitas V.I., and Kamrani M. Coupled strain-induced alpha to omega phase transformation and plastic flow in zirconium under high pressure torsion in a rotational diamond anvil cell. Materials Science and Engineering A, 2018, Vol. 731, 623-633.
  35. Levitas V.I. High pressure phase transformations revisited. Invited Viewpoint article. Journal of Physics: Condensed Matter, 2018, Vol. 30, No. 16, 163001, 15 pp. (invited Viewpoint article for a special issue “Frontiers of High Pressure Science & Technologies: Emergent Matters & Phenomena”).
  36. V.I. Levitas. Phase Transformations under High Pressure and Large Plastic Deformations: Multiscale Theory and Interpretation of Experiments. Proceedings of the International Conference on Martensitic Transformations: Chicago (ICOMAT 2017), pleanary lecture, Chicago, IL, July 7-14, 2017. Eds. Aaron Stebner, Greg Olson, Valery Levitas, et al.,
    The Minerals, Metals & Materials Society, 2018, pp. 3-10.
  37. Basak A. and Levitas V.I. Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains. Journal of the Mechanics and Physics of Solids, 2018, Vol. 113, 162-196.
  38. Javanbakht M. and Levitas V.I. Nanoscale mechanisms for high-pressure mechanochemistry: a phase field study. Journal of Materials Science, 2018, Vol. 53, No. 19, 13343-13363 (invited paper for a special issue “Mechanochemical synthesis”).
  39. Esfahani S.E., Ghamarian I., Levitas V.I., Collins P.C. Microscale Phase Field Modeling of the Martensitic Transformation During Cyclic Loading of NiTi Single Crystal.   International Journal of Solids and Structures, 2018, Vol. 146, 80-96.
  40. Levitas V.I. Effect of the ratio of two nanosize parameters on the phase transformations. Viewpoint article. Scripta Materialia, 2018, Vol. 149C, 155-162.
  41. Hill K. J., Tamura N., Levitas V.I., and Pantoya M.L. Impact Ignition and Combustion of Micron-Scale Aluminum Particles Pre-Stressed with Different Quenching Rates. Journal of Applied Physics, 2018, Vol. 124, No. 11, 115903.
  42. Levitas V.I., Chen H., and Xiong L. Lattice instability during phase transformations under multiaxial stress: modified transformation work criterion. Physical Review B, 2017, Vol. 96, No. 5, 054118, 11 pages.
  43. Kamrani M., Levitas V.I., and Feng B.FEM simulation of large deformation of copper in the quasi-constrain high-pressure-torsion setup. Materials Science and Engineering A, 2017, Vol. 705, 219-230.
  44. Hill K. J., Warzywoda J., Pantoya M.L., and Levitas V.I.Dropping the hammer: Examining impact ignition and combustion using pre-stressed aluminum powder. Journal of Applied Physics, 2017, Vol. 122, 125102, 8 pages.
  45. Levitas V.I. Elastic model for stress-tensor-induced martensitic transformation and lattice instability in silicon under large strains. Materials Research Letters, 2017, Vol. 5, No. 8, 554-561
  46. Feng B. and Levitas V.I. Coupled Elastoplasticity and Strain-Induced Phase Transformation under High Pressure and Large Strains: Formulation and Application to BN Sample Compressed in a Diamond Anvil Cell.  International Journal of Plasticity, 2017. Vol. 96, 156-181.
  47. Basak A. and Levitas V.I. Interfacial stresses within boundary between martensitic variants: Analytical and numerical finite strain solutions for three phase field models. Acta Materialia, 2017, Vol. 139C, 174-187.
  48. Feng B. and Levitas V.I. Large elastoplastic deformation of a sample under compression and torsion in a rotational diamond anvil cell under megabar pressures.  International Journal of Plasticity, 2017, Vol. 92, 79-95.
  49. Levitas V.I., Chen H., and Xiong L.  Triaxial-stress-induced homogeneous hysteresis-free first-order phase transformations with stable intermediate phases. Physical Review Letters, 2017, Vol. 118, 025701.
  50. Feng B. and Levitas V.I. Pressure self-focusing effect and novel methods for increasing the maximum pressure in traditional and rotational diamond anvil cells.  Scientific Reports, 2017, Vol. 7, 45461, 10 pp.
  51. Feng B. and Levitas V.I. Plastic flows and strain-induced alpha to omega phase transformation in zirconium during compression in a diamond anvil cell: Finite element simulations.  Materials Science and Engineering A, 2017, Vol. 680, 130-140.
  52. Javanbakht M. and  Levitas V.I. Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear. Physical Review B, 2016, Vol. 94, 214104, 21 pp.
  53. Hwang Y.S. and  Levitas V.I. Superheating and melting within aluminum  core – oxide shell nanoparticle for a broad range of heating rates: Multiphysics phase field modeling. Physical Chemistry Chemical Physics, 2016, Vol. 18, 28835-28853.
  54. Feng B., Levitas V.I., and  Hemley R.J. Large elastoplasticity under static megabar pressures: formulation and application to compression of samples in diamond anvil cells. International Journal of Plasticity, 2016, Vol. 84, 33-57.
  55. Levitas V.I. and Warren J. A. Phase field approach with anisotropic interface energy and interface stresses: large strain formulation.  Journal of the Mechanics and Physics of Solids, 2016, Vol. 91,  94-125.
  56. Javanbakht M. and Levitas V.I. Phase field approach to dislocation evolution at large strains: Computational aspects.  International Journal of  Solids and Structures, 2016, 82, 95-110.
  57. Momeni K. and  Levitas V.I. Phase-Field Approach to Nonequilibrium Phase Transformations in Elastic Solids via Intermediate Phase (Melt) Allowing for Interface Stresses. Physical Chemistry Chemical Physics, 2016,  Vol. 18, 12183-12203.
  58. Levitas, V.I., McCollum, J., Pantoya, M.L., and Tamura N. Stress relaxation in pre-stressed aluminum core-shell particles: x-ray diffraction study, modeling, and improved reactivity. Combustion and Flame, 2016, Vol. 170,  30-36.
  59. Feng B. and Levitas V.I. Effects of the gasket on coupled plastic flow and strain-induced phase transformations under high pressure and large torsion in a rotational diamond anvil cell. Journal of Applied Physics, 2016, Vol. 119, No.  1, 015902,  12 pages.
  60.   Levitas V.I. and Roy A.M.  Multiphase phase field theory for temperature-induced phase transformations: formulation and application to interfacial phases. Acta Materialia, 2016, Vol. 105, 244-257.
  61. Kulnitskiy, B.A., Blank V.D., Levitas V.I., Perezhogin I.A., Popov M.Yu., Kirichenko A.N., Tyukalova E.V. Transformation-deformation bands in C60 after the treatment in a shear diamond anvil cell. Materials Research Express, 2016, Vol. 3, 045601, 8 pages.
  62. Levitas V.I. and  Hwang Y.S. Comment on “In situ imaging of ultra-fast loss of nanostructure in nanoparticle aggregates” [J. Appl. Phys. 115, 084903 (2014)]. Journal of Applied Physics, 2016, Vol. 119, 066103, 4 pages.
  63. Hwang Y.S.  and Levitas V.I. Coupled phase field, heat conduction, and elastodynamic simulations of kinetic superheating and nanoscale melting of aluminum nanolayer irradiated by picosecond laser. Physical Chemistry Chemical Physics, 2015, Vol. 17, 31758-31768.
  64. Levitas V.I. and Warren J. A. Thermodynamically consistent phase field theory of phase transformations with anisotropic interface energies and stresses. Physical Review B, 2015, Vol. 92, No. 14, 144106, 16 pages.
  65. Levitas V.I. and Javabakht M. Interaction between phase transformations and dislocations at the nanoscale. Part 1. General phase field approach.  Journal of the Mechanics and Physics of Solids, 2015, Vol. 82, 287-319.
  66. Javabakht M. and Levitas V.I. Interaction between phase transformations and dislocations at the nanoscale. Part 2. Phase field simulation examples. Journal of the Mechanics and Physics of Solids, 2015, Vol. 82, 164–185.
  67. Momeni K and Levitas V.I. A Phase-Field Approach to Solid-Solid Phase Transformations via Intermediate Interfacial Phases under Stress Tensor. International Journal of Solids and Structures, 2015, Vol. 71, 39-56.
  68. Levitas, V.I., McCollum, J., Pantoya, M., and Tamura N. Internal Stresses in Pre-Stressed Micron-Scale Aluminum Core-Shell Particles and Their Improved Reactivity. Journal of Applied Physics, 2015, Vol. 118, No. 9, 094305.
  69. Levitas V.I. and Javabakht M. Thermodynamically consistent phase field approach to dislocation evolution at small and large strains.  Journal of the Mechanics and Physics of Solids, 2015, Vol. 82, 345-366.
  70. Levitas V.I. and Roy A.M. Multiphase phase field theory for temperature- and stress-induced phase transformations. Physical Review B, 2015, Vol. 91, No.17, 174109.
  71. Momeni K, Levitas V.I., and Warren, J.A. The strong influence of internal stresses on the nucleation of a nanosized, deeply undercooled melt at a solid-solid interface. Nano Letters, 2015, Vol. 15, No. 4, 2298-2303.
  72. Levitas, V.I., McCollum, J. and Pantoya, M. Pre-Stressing Micron-Scale Aluminum Core-Shell Particles to Improve Reactivity. Scientific Reports, 2015, Vol. 5, 7879, 6 pages.
  73. Levitas V.I. and Javanbakht M. Interaction of phase transformations and plasticity at the nanoscale: phase field approach. Materials Today: Proceedings 2S, 2015, S493-S498.
  74. Tarey, P. and Levitas, V. I. Prediction of the Mechanical Erosion Rate Decrement for Carbon-Composite Nozzle by using the Nano-Size Additive Aluminum Particle. Journal of the Korean Society of Propulsion Engineers,  2015,   Vol. 19,  No. 6, 42-53.
  75. Murugesan, R. and Levitas, V. I. Molecular Level Understanding of Chemical Erosion on Graphite Surface using Molecular Dynamics Simulations. Journal of the Korean Society of Propulsion Engineers,  2015,   Vol. 19,  No. 6, 54-63.
  76. Levitas V.I. Phase field approach to martensitic phase transformations with large strains and interface stresses.  Journal of the Mechanics and Physics of Solids, 2014,  Vol. 70, 154-189.
  77. Novikov N.V.,  Shvedov L.K.,  Krivosheya Yu. N., Levitas, V.I. New Automated Shear Cell with Diamond Anvils for in situ Studies of Materials Using X-ray Diffraction. Journal of Superhard Materials, 2015, Vol. 37, No. 1,  1-7.
  78. Levitas V.I. and Attariani H. Anisotropic  compositional expansion in elastoplastic materials and corresponding chemical potential: Large-strain formulation and application to amorphous lithiated silicon.  Journal of the Mechanics and Physics of Solids, 2014, Vol. 69, pp. 84-111.
  79. Hwang Y.S.  and Levitas V.I. Internal stress-induced melting below melting temperature at high-rate laser heating. Applied Physics Letters, 2014, Vol. 104, 263106.
  80. Momeni K. and Levitas V.I. Propagating phase interface with intermediate interfacial phase: Phase field approach. Physical Review B, 2014,  Vol. 89, No.18, 184102, 24 pages.
  81. Feng B., Levitas V.I., Ma Y.  Strain-induced phase transformation under compression in a diamond anvil cell: simulations of a sample and gasket. Journal of Applied Physics, 2014, Vol. 115, 163509, 14 pages.
  82. Levitas V.I. Unambiguous Gibbs dividing surface for nonequilibrium finite-width interface: Static equivalence approach. Physical Review B, 2014, Vol. 89, 094107, 5 pages.
  83. Levitas V.I. and Samani K. Melting and solidification of nanoparticles: Scale effects, thermally activated surface nucleation, and bistable states. Physical Review B, 2014, Vol. 89, 075427, 10 pages.
  84. Levitas V.I. and Momeni K. Solid-Solid  Transformations via Nanoscale Intermediate Interfacial Phase: Multiple Structures, Scale, and Mechanics Effects. Acta Materialia, 2014, Vol. 65, 125-132.
  85. Levitas V.I. and Javanbakht M. Phase transformations in nanograin materials under high pressure and plastic shear:  nanoscale mechanisms. Nanoscale, 2014, Vol. 6, No 1, 162 – 166.
  86. Levitas V.I., Pantoya M.L.,  and Dean S. Melt Dispersion Mechanism for Fast Reaction of Aluminum Nano- and Micron-scale Particles: Flame Propagation and SEM Studies. Combustion and Flame, 2014, Vol. 161, No. 6, 1668-1677.
  87. Feng B., Levitas V.I., and Zarechnyy O. Strain-induced phase transformations under high pressure and large shear in a rotational diamond anvil cell: Simulation of loading, unloading, and reloading. Computational Materials Science, 2014, Vol. 84, 404-416.
  88. Farley C., Pantoya M.L.,  Levitas V.I. A Mechanistic Perspective of Atmospheric Oxygen Sensitivity on Composite Energetic Material Reactions. Combustion and Flame, 2014, Vol. 161, No. 4, 1131-1134.
  89. Hwang Y.S.  and Levitas V.I. Phase field simulation of kinetic superheating and melting of aluminum nanolayer irradiated by pico- and femtosecond laser. Applied Physics Letters, 2013, Vol. 103, No. 26, 263107.
  90. Feng B. and Levitas V.I. Coupled phase transformations and plastic flows under torsion at high pressure in rotational diamond anvil cell: Effect of contact sliding. Journal of Applied Physics, 2013, Vol. 114, No. 21, 213514, 12 pages.
  91. Levitas V.I., Roy A.M., and Preston D. L. Multiple twinning and variant-variant transformations in martensite: Phase-field approach. Physical Review B, 2013, Vol. 88, 054113.
  92. Levitas V.I. and Javanbakht M. Phase field approach to interaction of phase transformation and dislocation evolution. Applied Physics Letters, 2013, Vol. 102, 251904.
  93. Levitas V.I. Thermodynamically consistent phase field approach to phase transformations with interface stresses. Acta Materialia, 2013, Vol. 61, 4305-4319.
  94. Feng B., Levitas V.I., and Zarechnyy O. M. Plastic flows and phase transformations in materials under compression in diamond anvil cell: Effect of contact sliding. Journal of Applied Physics, 2013, Vol. 114, 043506
  95. Levitas V.I. and Attariani H. Anisotropic Compositional Expansion and Chemical Potential for Amorphous Lithiated Silicon under Stress Tensor. Scientific Reports, 2013, Vol. 3, 1615, DOI: 10.1038/srep01615.
  96. Levitas V.I. Phase-field theory  for  martensitic  phase transformations at large strains. International Journal of Plasticity, 2013, 2013, Vol. 49, 85-118.
  97.  Levin V. A., Levitas V. I.,   Zingerman K.M., Freiman E.I. Phase-field simulation of stress-induced martensitic  phase transformations at large strains.  International Journal of Solids and Structures, 2013, Vol.  50,  2914-2928.
  98. Levitas V.I. Interface Stresses for Nonequilibrium Microstructures in Phase Field Approach: Exact Analytical Results. Physical Rewiev B, 2013, Vol. 87, 054112.
  99. Levitas V.I. Mechanochemical Mechanism for Reaction of Aluminum Nano- and Micron-scale Particles. Philosophical Transactions of the Royal Society A, 2013,  Vol. 371, 20120215, 14 pages.
  100. Feng B., Zarechnyy O. M., and Levitas V.I. Strain-induced phase transformations under compression, unloading, and reloading in a diamond anvil cell. Journal of Applied Physics, 2013, Vol. 113, 173514, 9 pages.
  101. Ji C., Levitas V. I., Zhu H., Chaudhuri J., Marathe A., and Ma Y. Shear-Induced Phase Transition of Nanocrystalline Hexagonal Boron Nitride to Wurtzic Structure at Room Temperature and Lower Pressure. Proceedings of the National Academy of Sciences of the United States of America, 2012, Vol. 109, No. 33, 201203285.
  102. Levitas V. I., and Javanbakht M. Advanced Phase-Field Approach to Dislocation Evolution. Physical Review B, Rapid Communication, 2012, Vol. 86, 140101 (R).
  103. Gesner J., Michelle L. P., and Levitas, V. I. Effect of Oxide Shell Growth on Nano-Aluminum Propagation Rates. Combustion and Flame, 2012, Vol. 159, No. 11, 3448-3453.
  104. Levitas V. I., and Ravelo R. Virtual Melting as a New Mechanism of Stress Relaxation Under High Strain Rate Loading. Proceedings of the National Academy of Sciences of the United States of America, 2012, Vol. 109, No. 33, 13204-13207. Featured in: P. Ball. Shock relief. Nature Materials, 2012, Vol. 11, p. 747 ;   S.M. Dambrot. Crystals take a chill pill: A thermomechanical theory of low-temperature melting. August 21, 2012 http://phys.org/news/2012-08-crystals-chill-pill-thermomechanical-theory.html.
  105. Levitas V.I., Ren Z., Zeng Y., Zhang Z., and Han G. Crystal-crystal phase transformation via surface-induced virtual pre-melting. Physical Review B, Rapid Communication, 2012, Vol. 85, No. 22, 220104(R).
  106. Levitas V. I., Ma Y., Selvi E., Wu J., and Patten J. A.  High-density amorphous phase of silicon carbide obtained under large plastic shear and high pressure. Physical Review B, 2012, Vol. 85, No.5, 054114.
  107. Levitas V. I. Sublimation, chemical decomposition, and melting inside an elastoplastic material: General continuum thermodynamic and kinetic theory.  International Journal of Plasticity, 2012, Vol. 34, pp. 41-60.
  108. Levitas V. I., and Altukhova N.  Thermodynamics and kinetics of nucleation of a spherical gas bubble inside an elastoplastic material due to sublimation. International Journal of Plasticity, 2012, Vol. 34, pp. 12-40.
  109. Cho J. Y., Idesman A. V., Levitas V. I., and Park T. Finite element simulations of dynamics of multivariant martensitic phase transitions based on Ginzburg-Landau theory. International Journal of Solids and Structures, 2012, Vol. 49, 1973 – 1992.
  110. Levitas V. I., Ma, Y., and Zarechnyy, O. M. Coupled plastic flow and phase transformation under compression of materials in a diamond anvil cell: Effects of transformation kinetics and yield strength. Journal of Applied Physics, 2012, Vol. 111, 023518.
  111. Levitas V. I., and Attariani, H. Mechanochemical Continuum Modeling of Nanovoid Nucleation and Growth in Reacting Nanoparticles. Journal of Physical Chemistry C,2012, Vol. 116, 12991-12993.
  112. Javanbakht, M. and Levitas V. I. Surface-induced phase transformations: Multiple scale and mechanics effects and morphological transitions. Physical Review Letters, 2011, Vol. 107, 175701 (with online movies).
  113. Levitas V. I., and Samani K. Size and mechanics effects in surface-induced melting of nanoparticles. Nature Communications, 2011, Vol. 2, 284.
  114. Levitas V. I. and Altukhova N. Thermodynamics and kinetics of nanovoid nucleation inside elastoplastic material. Acta Materialia , 2011, Vol. 59, 7051-7059.
  115. Levitas V. I., Idesman A.V., and Palakala A.K. Phase-field modeling of fracture in liquid.  J. Applied Physics, 2011, Vol. 110, No. 3, 033531; selected and published by the Virtual Journal of Nanoscale Science & Technology, August 22, 2011 issue.
  116. Hou D., Zhang F., Ji C., Hannon T., Zhu H., Wu J., Levitas V. I., and Ma Y. Phase Transition and Structure of Silver Azide at High Pressure.  J. Applied Physics, 2011, Vol. 110, 023524.
  117. Levitas V. I., and Javanbakht M. Phase-field approach to martensitic phase transformations: Effect of martensite-martensite interface energy. International J. Materials Research, 2011, Vol. 102, No. 6, 652-665.
  118. Levitas V. I., Dikici B., and Pantoya M.L. Toward Design of the Pre-stressed Nano- and Microscale Aluminum Particles Covered by Oxide Shell. Combustion and Flame, 2011, Vol. 158, 1413-1417.
  119. Ji C., Zhang F., Hou D., Zhu H., Wu J., Chyu M. C., Levitas V. I., and Ma Y. High pressure X-ray diffraction study of potassium azide. J. Physics and Chemistry of Solids, 2011, Vol. 72, No. 6, 736-739.
  120. Levitas V. I., and Samani K. Coherent solid-liquid interface with stress relaxation in a phase-field approach to the melting/freezing transition. Physical Review B, Rapid Communication, 2011, Vol. 84, No. 14, 140103(R).
  121. Levitas V. I., and Javanbakht M. Surface tension and energy in multivariant martensitic transformations: Phase-field theory, simulations, and model of coherent interface. Physical Review Letters, 2010, Vol. 105, No. 16, 165701 (with online movies).
  122. Levitas V. I., and Zarechnyy O.  Modeling and simulation of strain-induced phase transformations under compression and torsion in a rotational diamond anvil cell. Physical Review B, 2010, Vol. 82, 174124 (15 pages plus 10 pages of online supplementary materials).
  123. Levitas V. I., and Zarechnyy O.  Modeling and simulation of strain-induced phase transformations under compression in a diamond anvil cell. Physical Review B, 2010, Vol. 82, 174123 (12 pages plus 7 pages of online supplementary materials).
  124. Levitas V. I., Lee D. W., and Preston D. L. Interface propagation and microstructure evolution in phase field models of stress-induced martensitic phase transformations. International J. Plasticity, 2010, Vol. 26, No. 3, 395-422.
  125. Levin V. A., Levitas V. I., LokhinV. V., Zingerman K. M., Sayakhova L. F., and Freiman E. I. Displacive phase transitions at large strains: Phase-field theory and simulations. Doklady Phsyics, 2010, Vol. 55, No. 10, pp. 507-511.
  126. Levitas V. I., and Zarechnyy O. Numerical study of stress and plastic strain evolution under compression and shear of a sample in rotational anvil cell. High Pressure Research, 2010, Vol. 30, No. 4, 652-668.
  127. Dikici B., Pantoya M.L., and Levitas V. I. The Effect of Pre-heating on Flame Propagation in Nanocomposite Thermites. Combustion and Flame, 2010, Vol. 157, 1581-1585.
  128. Levitas V. I.  Apparent and Hidden Mechanochemistry. Experimental and Theoretical Studies in Modern Mechanochemistry, 2010, pp. 41-56.  Eds. F. Delogu and G. Mulas, Transworld Research Network.
  129. Levitas V. I., Smilowitz L. B., Henson B.F., and Asay B. W. HMX polymorphism: virtual melting growth mechanism, cluster-to-cluster nucleation mechanism and physically based kinetics.  International J. Energetic Materials and Chemical Propulsion, 2009, Vol. 8, No. 6, 571-593.
  130. Levitas V. I., and Zarechnyy O.  Modeling and simulation of mechanochemical processes in rotational diamond anvil cell. Europhysics Letters, 2009, Vol. 88, 16004, 1-6.
  131. Pantoya M., Levitas V. I., Granier J. J., and Henderson J.B. The Effect of Bulk Density on the Reaction Dynamics of Nano and Micron Particulate Thermites. J. Propulsion and Power, 2009, Vol. 25, No. 2, 465-470.
  132. Levitas V.I. and Ozsoy I. B. Micromechanical modeling of stress-induced phase transformations. Part 1.  Int. J. Plasticity, 2009, Vol. 25, No. 2, 239-280.
  133.  Levitas V.I. and Ozsoy I. B. Micromechanical modeling of stress-induced phase transformations. Part 2. Int. J. Plasticity, 2009, Vol. 25, No. 3, 546-583.
  134. Altukhova N. and Levitas V. I. Sublimation via virtual melting inside an elastoplastic material. Physical Review B, 2009, Vol. 79, No. 21, 212101; selected and published by the Virtual J. Nanoscale Science & Technology, June 29, 2009 issue.
  135. Levitas V. I., Levin V.A., Zingerman K. M., and Freiman E.I. Displacive phase transitions at large strains: Phase-field theory and simulations. Physical Review Letters, 2009, Vol.103, No. 2, 025702; selected and published by the Virtual J. Nanoscale Science & Technology, July 20, 2009 issue.
  136. Levitas V. I. Burn Time of Aluminum Nanoparticles: Strong Effect of the Heating Rate and Melt Dispersion Mechanism. Combustion and Flame, 2009, Vol. 156, No. 2, 543-546.
  137. Levitas V. I., Pantoya M. L., Chauhan G., and Rivero I. Effect of the alumina shell on the melting temperature depression for nano-aluminum particles. The Journal of Physical Chemistry C, 2009, Vol. 113, No. 32, 14088-14096.
  138. Dikici B., Dean S.W., Pantoya M.L., Levitas V.I., and Jouet R.J. Influence of Aluminum Passivation on the Reaction Mechanism: Flame Propagation Studies. Energy and Fuels, 2009, Vol. 23, 4231-4235.
  139. Levitas V. I., and Altukhova, N. Sublimation inside an Elastoplastic Material. Physical Review Letters, 2008, Vol. 101, No. 14, 145703.
  140. Levitas V. I., Pantoya M.L., and Watson K.W. Melt dispersion mechanism for fast reaction of aluminum particles: extension for micron scale particles and fluorination. Applied Physics Letters, 2008, Vol. 92, 201917; selected and published by the Virtual Journal of Nanoscale Science & Technology, June 9, 2008 issue.
  141. Idesman A. V., Cho J. Y., and Levitas V. I. Finite element modeling of dynamics of martensitic phase transitions. Applied Physics Letters, 2008, Vol. 93, 043102.
  142. Watson K. W., Pantoya M. L., and Levitas V. I. Fast Reactions with Nano and Micron Aluminum: A Study on Oxidation Versus Fluorination. Combustion and Flame.  Combustion and Flame, 2008, Vol. 155, pp. 619-34.
  143. Levitas V.I., Pantoya M.L., and Dikici B. Melt-dispersion versus diffusive oxidation mechanism for aluminum nanoparticles: critical experiments and controlling parameters. Applied Physics Letters, 2008, vol. 92, No. 1, 011921.
  144. Levitas V. I., and Lee D. W. Athermal Resistance to Interface Motion in the Phase-Field Theory of Microstructure Evolution. Physical Review Letters, 2007, Vol. 99, 245701.
  145. Levitas V. I., Henson B. F., Smilowitz L. B.,  Zerkle D. K., Asay, B. W., Coupled phase transformation, chemical decomposition, and deformation in plastic-bonded explosive: Simulations. Part 1 and Part 2  J. Appl. Physics, 2007, Vol. 102, No. 11, 113520 (1-10).
  146. Levitas V. I., and Zarechnyy O.  Plastic flow under compression and shear in rotational diamond anvil cell: Finite – element study. Applied Physics Letters, 2007, Vol. 91, No. 14, 141919.
  147. Levitas V. I., Blaine W. Asay, Steven F. Son, and Michelle Pantoya. Mechanochemical Mechanism for Fast Reaction of Metastable Intermolecular Composites Based on Dispersion of Liquid Metal. J. Applied Physics, 2007, Vol. 101, 083524 (1-20).
  148. Levitas, V. I., I. B. Ozsoy, and D. L. Preston. Interface reorientation during coherent phase transformations. Europhysics Letters, 2007, 78, 16003.
  149. Smilowitz, Laura B., Bryan F. Henson, Asay B. W.,  Nucleation mechanism for reconstructive solid-solid phase transitions via melt mediated nano-cluster transformation. Applied Physics Letters, 2006, Vol. 89, 231930.
  150. Levitas V. I.,  Asay B.W., Son S. F., and Pantoya M. L. Melt dispersion mechanism for fast reaction of nanothermites. Applied Physics Letters, 2006, Vol. 89, No. 7, 071909; selected and published by the Virtual Journal of Nanoscale Science & Technology, 2006, August 28 issue.
  151. Ma y., Selvi E., Levitas V.I. and Hasemi J. Effect of shear strain on the a-e phase transition of iron: a new approach I the rotational diamond anvil cell. J. Phys.: Cond. Matt., 2006, Vol. 18, 1075-1082.
  152. Levitas, Valery I., and Zarechnyy O. Kinetics of Strain-Induced Structural Changes under High Pressure. J. Physical Chemistry B, 2006, Vol. 110, 16035-16046.
  153. Levitas V. I., Preston D.L., and Lee D. W. Ginzburg-Landau theory of microstructures: stability, transient dynamics, and functionally graded nanophases. Europhysics Letters, 2006, Vol. 75, No. 1, 84-90.
  154. Ma Y., Levitas V. I., and Hashemi J. X-ray diffraction measurements in a rotational diamond anvil cell. J. of Physics and Chemistry of Solids, 2006, Vol. 67, pp. 2083-2090.
  155. Levitas V. I., Smilowitz L. B., Henson B. F., Asay B. W. Interfacial and volumetric kinetics of the beta-delta phase transition in the energetic nitramine octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine based on the virtual melting mechanism. J. Chemical Physics, 2006, Vol. 124, 026101.
  156. Levitas V. I., Lee D. W., Preston D. L. Phase field theory of surface- and size-induced microstructures.” Europhysics Letters, Vol. 76, 1 (2006): 81-87. European Physical Society, 1 Oct. 2006.
  157. Levitas V. I., Henson B. F., Smilowitz L. B., Asay B. W.  Solid-solid phase transformation via internal stress-induced virtual melting, significantly below the melting temperature. J. Physical Chemistry B 110, 20 (2006): 10105-0119. American Chemical Society, 2 May 2006.
  158. Levitas, Valery I., Yanzhang Ma, Javad Hashemi, Mark Holtz, and Necip Guven. Strain-induced disorder, phase transformations and transformation induced plasticity in hexagonal boron nitride under compression and shear in a rotational diamond anvil cell: in-situ X-ray diffraction study and modeling. The Journal of Chemical Physics 125, 044507 (2006): 1-14.
  159. Idesman A. V., Levitas V. I. , Preston D. L., and Cho J.-Y. Finite Element Simulations of Martensitic Phase Transitions and Microstructure Based on Strain Softening Model. J. Mechanics and Physics of Solids, 2005,Vol. 53, No. 3, pp. 495-523.
  160. Levitas, Valery I., Laura B. Smilowitz, Bryan F. Henson, and Blaine W. Asay. Solid-solid phase transformation via internal stress-induced virtual melting: additional confirmations. Applied Physics Letters, 2005, Vol. 87, No. 1, 191907.
  161. Levitas, Valery I. Crystal-amorphous and crystal-crystal phase transformations via virtual melting. Physical Review Letters, 2005, Vol. 95, No. 7, 075701.
  162. Levitas V. I., Ma Y. Z., and Hashemi J. Levitas V. I., Ma Y. Z., and Hashemi J. Transformation-induced Plasticity and Cascading Structural Changes in Hexagonal Boron Nitride Under High Pressure and Shear. Appl. Physics Letters, 2005, Vol. 86, 071912.Appl. Physics Letters, 2005, Vol. 86, 071912.
  163. Levitas, Valery I., and Dean L. Preston. Thermomechanical lattice instability and phase field theory of martensitic phase transformations, twinning and dislocations at large strains. Physics Letters A, 2005, Vol. 343, 32-39.
  164. Levitas, V. I., J. Hashemi, and Y. Z. Ma. Strain-induced disorder and phase transformation in hexagonal boron nitride under quasi-homogeneous pressure: in-situ X-ray study in a rotational diamond anvil cell. Europhysics Letters, 2004, Vol. 68, No. 4, 550-556.
  165. Levitas, Valery I,. Continuum Mechanical Fundamentals of Mechanochemistry. In: High Pressure Surface Science and Engineering. Section 3. Ed. Yury Gogotsi and Vladislav Domnich, Series in Materials Science and Engineering, 2004,  159-292.
  166. Levitas V. I. High-Pressure Mechanochemistry: Conceptual Multiscale Theory and Interpretation of Experiments. Physical Review B, 2004, Vol. 70, No. 18, 184118, 1-24; selected and published by the Virtual Journal of Nanoscale Science & Technology, 2004, December 6 issue.
  167. Levitas, Valery I., Alexander V. Idesman, and Dean L. Preston. Microscale simulation of evolution of martensitic microstructure. Physical Review Letters, 2004, Vol. 93, No. 10, 105701; selected and published by the Virtual J. Nanoscale Science & Technology, 2004, September 5 issue.
  168. Levitas, Valery I., Bryan F. Henson, Laura B. Smilowitz, and Blaine W. Asay.  Solid-solid phase transformation via virtual melt, significantly below the melting temperature. Physical Review Letters, 2004, Vol. 92, No. 23, 235702; selected and published by the Virtual J. Nanoscale Science & Technology, 2004, June 21 issue.
  169. Levitas V. I. A microscale model for strain-induced phase transformations and chemical reactions under high pressure. Europhysics Letters, 2004, Vol. 66, no. 5, 687-693.
  170. Levitas V. I. Strain-induced nucleation at a dislocation pile-up: a nanoscale model for high pressure mechanochemistry. Physics Letters A, 2004, Vol. 327, 180-185.
  171. Levitas V. I., Preston D.L., and Lee D.-W. Three-dimensional Landau theory for multivariant stress-induced martensitic phase transformations. Part III. Alternative potentials, critical nuclei, kink solutions, and dislocation theory. Physical Review B, 2003, Vol. 68, 134201 (1-24).
  172. Levitas V.I. and Preston D. Three-dimensional Landau theory for multivariant stress-induced martensitic phase transformations, Part 1. Phys. Rev. B, 2002, Vol. 66, 134206(1-9).
  173. Levitas V.I. and Preston D. Three-dimensional Landau theory for multivariant stress-induced martensitic phase transformations, Part 2. Phys. Rev. B, 2002, Vol. 66, 134207 (1-15).
  174. Levitas V.I. and Shvedov, L.K. Low Pressure Phase Transformation from Rhombohedral to Cubic BN: Experiment and Theory. Physical Review B, 2002, Vol. 65, No. 10, 104109(1-6).
  175. Levitas V.I., Idesman A.V., Olson G.B. and Stein E. Numerical Modeling of Martensite Growth in Elastoplastic Material. Philosophical Magazine, A, 2002, Vol. 82, No. 3, 429-462.
  176. Levitas V. I. Critical Thought Experiment to Choose the Driving Force for Interface Propagation in Inelastic Materials. Int. J. Plasticity, 2002, Vol. 18, pp. 1499 0 1525.
  177. Leshchuk, A. A., Novikov, N. V., and Levitas, V.I.  Thermomechanical Model of Phase Transformation Graphite to Diamond. J. Superhard Materials, 2002, No. 1, pp. 49 – 57.
  178. Mielke A., Theil F., Levitas V.I.A Variational Formulation of Rate-Independent Phase Transformations Using and Extremum Principle. Arch. Rational Mech. Anal., 2002, Vol. 162, pp. 137-177. Essential Science Indicator: Emerging Research Fronts Paper in Mathematics in August 2006.
  179. Leshchuk, A. A., Novikov, N. V., and Levitas, V.I. Computer Simulation of Physical and Mechanical Processes Running in the Reaction Cells of High-Pressure Installations in the Course of Synthesis of Diamonds. Strength of Materials. Strength of Materials, 2001, Vol. 33, No. 3, pp. 277-292.
  180. Levitas V.I. Structural Changes without Stable Intermediate State in Inelastic Material, Part 1.  Int. J. Plasticity, 2000 , Vol. 16, No. 7-8, 805-849
  181. Levitas V.I. Structural Changes without Stable Intermediate State in Inelastic Material, Part 2. Int. J. Plasticity, 2000 , Vol. 16, No. 7-8, 851-892.
  182. Idesman A. V., Levitas V. I., and Stein E. Structural changes in Elastoplastic Materiala unified finite-element approach to phase transformation, twinning and fracture. Int. J. Plasticity, 2000, Vol. 16, No. 7-8, pp. 893-949.
  183. Theil F., Levitas V.I.  A Study Of A Hamiltonian Model For Phase Transformations Including Microkinetic Energy. Mathematics and Mechanics of Solids, 2000, Vol. 5, No. 3, pp. 337-368.
  184. Levitas V. I. Thermomechanical and Kinetic Approaches to Diffusional-Displacive Phase Transitions in Inelastic Materials. Mech. Res. Commun., 2000, Vol. 27, No. 2, pp. 217-227.
  185. Levitas V. I., Idesman A. V., and Olson G. B. Continuum modeling of strain-induced martensitic transformation at shear-band intersections. Acta Materialia, 1999, Vol. 47, No. 1, pp. 219-233.
  186. Idesman A.V., Levitas V. I., Stein E. Elastoplastic materials with matensitic phase transition and twinning at finite strains numerical solution with the finite element method. Comp. Meth. in Appl. Mech. and Eng., 1999, Vol. 173, No. 1-2, pp. 71-98.
  187. Levitas V. I.,  Idesman A.V., and Stein E. Shape Memory Alloys: Micromechanical Modeling and Numerical Analysis of Structures. J. Intelligent Material System and Structures, 1999, Vol. 10, No. 12, pp. 983-996.
  188. Novikov N. V., Polotnyak S. B., Shvedov L. K., and Levitas V. I. Regularities of Phase Transformations and Plastic Straining of Materials in Compression and Shear on Diamond Anvils: Experiments and Theory.  J.  Superhard Materials, 1999, Vol. 3, pp. 39-51.
  189. Levitas V. I. A new look at the problem of plastic spin based on stability analysis. J. Mech. Phys. Solids, 1998, Vol. 46, No. 3, pp. 557-590.
  190. Levitas V. I., Nesterenko V. F., Meyers M.A. Strain-induced structural changes and chemical reactions, Part 1.  Acta Materialia, 1998, Vol. 46, No. 16, 5929-5945
  191. Levitas V. I., Nesterenko V. F., Meyers M.A. Strain-induced structural changes and chemical reactions, Part 2.  Acta Materialia, 1998, Vol. 46, No. 16, 5947-5963.
  192. Levitas V. I.. Thermomechanical theory of martensitic phase transformations in inelastic materials. Int. J. Solids and Structures, 1998, Vol. 35, No. 9-10. pp. 889-940.
  193. Levitas V. I., Idesman A. V., and Stein S. Finite element simulation of martensitic phase transitions in elastoplastic materials. Int. J. Solids and Structures, 1998, Vol. 35, No. 9-10, pp. 855-887.
  194. Levitas V. I., Idesman A. V., Stein E., Spielfeld J., and Hornbogen E. A Simple Micromechanical Model for Pseudoelastic Behavior of CuZnAl Alloy. J. Intelligent Material Systems and Structures, 1998, Vol. 9, No. 5, pp. 324-334.
  195. Levitas V. I. Thermomechanics and kinetics of generalized second-order phase transitions in inelastic materials. Application to ductile fracture. Mech. Res. Commun., 1998, Vol. 25, No. 4, pp. 427-436.
  196. Levitas V. I. Phase transition in a plastic layer: finite strains analytical solution. ZAMM, 1998, Vol. 78, supplement 1, pp. S117-S120.
  197. Levitas V. I. Phase transitions in elastoplastic materials: continuum thermomechanical theory and examples of control, Part 1.J. Mech. Phys. Solids, 1997, V. 45, No. 6, 923-947.
  198. Levitas V. I. Phase transitions in elastoplastic materials: continuum thermomechanical theory and examples of control, Part 2. J. Mech. Phys. Solids, 1997, V. 45, No. 7, 1203-1222.
  199. Levitas V. I., and Stein E. Simple Micromechanical Model of Thermoelastic Martensitic Transformations. Mech. Res. Commun., 1997, Vol. 24, No. 3, pp. 309-318.
  200. Idesman, A. V., Levitas V. I., and Stein E..  Simulation of martensitic phase transitions progress with continuous and discontinuous displacements at the interface. Computational Materials Science, 1997, Vol. 9, No. 1-2, pp. 64-75.
  201. Levitas V. I. Principle of minimum dissipation rate at time t + Dt for the plastic spin. Mech. Res. Commun., 1997, Vol. 24, No. 6, pp. 639-648.
  202. Levitas V. I.,  Polotnyak S. B., and Idesman A. V. Large Elastoplastic Deformations and Stress State of Deformable Gasket of High Pressure Apparatus with Diamond Anvils. Strength of Materials, 1996, no. 3, pp. 221-227.
  203. Levitas V. I. Some Relations for Finite Inelastic Deformation of Microheterogeneous Materials With Moving Discontinuity Surfaces., IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials. Proceedings of IUTAM Symposium. Paris, France, 1996, pp. 313-320.
  204. Levitas, V. I. Theory of martensitic phase transformations in inelastic materials in local description. Mech. Res. Commun., 1996, Vol. 23, No. 5, pp. 495-503.
  205. Levitas V. I. The postulate of realizability: formulation and applications to post-bifurcation behavior and phase transitions in elastoplastic materials. Part 1  and Part 2. Int. J. Eng. Sci., 1995, Vol. 33, No. 7, pp. 921- 970 (Distinguished Paper Award).
  206. Idesman A. V., and Levitas V. I. Finite element procedure for solving contact thermoelastoplastic problems at large strains normal and high pressures. Comput. Methods Appl. Mech. Engineering., 1995, Vol. 126, No. 1-2/15, pp. 39-66.
  207. Levitas, V. I. Themomechanics of Martensitic Phase Transitions in Elastoplastic Materials. Mech. Res. Commun., 1995, Vol. 22, No. 1, pp. 87-94.
  208. Leivtas, V. I. Thermomechanical description of pseudoelasticity – the threshold-type dissipative force with discrete memory. Mech. Res. Commun., 1994, Vol. 21, No. 3, pp. 273-280.
  209. Levitas, V. I. Plasticity theory of microinhomogeneous materials at large strain gradient. Mech. Res. Commun., 1994, Vol. 21, No. 1, pp. 11-17.
  210. Levitas V.I., Stashkevich I.E., Nemirovskiy A.B. Stress-Strain Diagram of Metals under Large Uniform Compressive Strains. Strength of Materials, 1994, Vol. 26, No. 9, pp. 676-680.
  211. Novikov N. V., Levitas V. I., Polotnyak S. B., and Potemkin M. M. Method of Numerical Optimization of the Design of High-Pressure Apparatus with Diamond Anvils. High Pressure Research, 1991, Vol. 8, pp. 507-509.
  212. Novikov N. V., Levitas V. I., and Shestakov S. I.. Numerical Modeling of Strength and Longevity of Structures with Allowance for Scale Effect. Communication 1. Substantiation of Strength and longevity criterion. Strenth of Materials, 1991, No. 5, pp. 527-533.
  213. Novikov N. V., Levitas V. I., and  Shestakov S. I. Numerical Modeling of Strength and Longevity of Structures with Allowance for Scale Effect. Communication 2. Investigation of the Strength and Longevity of Hard-Alloy Die for High Pressure Apparatus. Strength of Materials, 1991, No. 6, pp. 635-642.
  214. Novikov N. V., Shestakov S. I., Levitas V. I.,Borimskii A. I. , and  Idesman A. V. Numerical Modeling of Strength and Longevity of Structures with Allowance for Scale Effect. Communication 3. Investigation of the Stressed State, Strength and Longevity of Belt-Type High-Pressure Apparatus. Strength of Materials, 1991, No. 6, pp. 644-651.
  215. Novikov N. V., Levitas V. I., and Shestakov S. I. Fundamentals of Strength and Durability Calculations for the Elements of High Pressure Apparatus. Physica, 1986, 139 & 140 B, pp. 782 – 784.
  216. Levitas V. I., and Dushinskaya G. V. Stress Distribution in a Deformable Gasket of Toroidal High Pressure Equipment. J. of Superhard Materials, 1983, No. 5, pp. 6-10.