NSF Program Director: Dr. John Schlueter

Collaborators:

Dr. William A. Goddard III
Charles and Mary Ferkel Professor of Chemistry, Materials Science, and Applied Physics,
Director, Materials and Process Simulation Center (MSC)
California Institute of Technology
Pasadena, California 91125 USA
http://www.wag.caltech.edu

and

Dr. Yanzhang Ma

Department of Mechanical Engineering

Texas Tech University, Lubbock, Texas, 79409-1021, USA

Findings and activities – year 1

Findings and activities – year 2

Findings and activities – year 3

Publications

1. 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, https://doi.org/10.1016/j.ijplas.2018.03.007, 30 pp.
2. Levitas V.I. High pressure phase transformations revisited. Invited Viewpoint article. Journal of Physics: Condensed Matter, 2018, https://doi.org/10.1088/1361-648X/aab4b0, in press (invited Viewpoint article for a special issue “Frontiers of High Pressure Science & Technologies: Emergent Matters & Phenomena”).
3. 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 (ICOMAT 2017), keynote lecture, Chicago, IL, July 7-14, 2017. Eds. Aaron Stebner, Greg Olson, Valery Levitas, et al.
4. 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,
   https://doi.org/10.1016/j.jmps.2018.01.014, 35 pp.
5. Javanbakht M. and Levitas V.I. Nanoscale mechanisms for high-pressure mechanochemistry: a phase field study. Journal of Materials Science, 2018, in press (invited paper for a special issue “Mechanochemical synthesis”);
   https://link.springer.com/article/10.1007%2Fs10853-018-2175-x.
6. 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, 17 pp.,
   https://doi.org/10.1016/j.ijsolstr.2018.03.022.
7. Levitas V.I. Effect of the ratio of two nanosize parameters on the phase transformations. Viewpoint article. Scripta Materialia, 2018, Vol. 149C, 155-162.
8. 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.
9. 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.
10. 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.
11. 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.
12. 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.
13. 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.
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
20. 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.
21. 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.
22. 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.
23. 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.
24. 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.
25. 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.
26. 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.
27. 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.
28. 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.
29. 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.
30. 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.
31. 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.