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Phase Transformations Under High Pressure and Large Plastic Deformations: Multiscale Theory and Interpretation of Experiments

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Book cover Proceedings of the International Conference on Martensitic Transformations: Chicago

Part of the book series: The Minerals, Metals & Materials Series ((MMMS))

Abstract

It is known that superposition of large plastic shear at high pressure in a rotational diamond anvil cell (RDAC) or high-pressure torsion leads to numerous new phenomena, including drastic reduction in phase transformation (PT) pressure and appearance of new phases. Here, our four-scale theory and corresponding simulations are reviewed. Molecular dynamic simulations were used to determine lattice instability conditions under six components of the stress tensor, which demonstrate strong reduction of PT pressure under nonhydrostatic loading. At nanoscale, nucleation at various evolving dislocation configurations is studied utilizing a developed phase field approach. The possibility of reduction in PT pressure by an order of magnitude due to stress concentration at the shear-generated dislocation pileup is proven. At microscale, a strain-controlled kinetic equation is derived and utilized in large-strain macroscopic theory for coupled PTs and plasticity. At macroscale, the behavior of the sample in DAC and RDAC is studied using a finite-element approach. A comprehensive computational study of the effects of different material and geometric parameters is performed, and various experimental effects are reproduced. Possible misinterpretation of experimental PT pressure is demonstrated. The obtained results offer new methods for controlling PTs and searching for new high-pressure phases (HPPs), as well as methods for characterization of high-pressure PTs in traditional DAC and RDAC.

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References

  1. Blank VD, Estrin EI (2014) Phase transitions in solids under high pressure. CRC Press, New York

    Google Scholar 

  2. Edalati K, Horita Z (2016) A review on high-pressure torsion (HPT) from 1935 to 1988. Mat Sci Eng A 652:325–352

    Article  CAS  Google Scholar 

  3. Novikov NV, Polotnyak SB, Shvedov LK, Levitas VI (1999) Phase transitions under compression and shear in diamond anvils: experiment and theory. Superhard Mat 3:39–51

    Google Scholar 

  4. Blank VD et al (1994) Is C60 fullerite harder than diamond? Phys Lett A 188:281–286

    Article  CAS  Google Scholar 

  5. Levitas VI, Ma Y, Selvi E, Wu J, Patten J (2012) High-density amorphous phase of silicon carbide obtained under large plastic shear and high pressure. Phys Rev B 85:054114

    Article  Google Scholar 

  6. Levitas VI (2004) Continuum mechanical fundamentals of Mechanochemistry. In: Gogotsi Y, Domnich V (eds) High pressure surface science and engineering. Inst. of Physics, Bristol, Section 3, p 159–292

    Google Scholar 

  7. Levitas VI (2004) High-pressure mechanochemistry: conceptual multiscale theory and interpretation of experiments. Phys Rev B 70:184118

    Article  Google Scholar 

  8. Ji C, Levitas VI, Zhu H, Chaudhuri J, Marathe A, Ma Y (2012) Shear-induced phase transition of nanocrystalline hexagonal boron nitride to wurtzitic structure at room temperature and low pressure. Proc Natl Acad Sci USA 109:19108–19112

    Article  CAS  Google Scholar 

  9. Levitas VI, Shvedov LK (2002) Low pressure phase transformation from rhombohedral to cubic BN: experiment and theory. Phys Rev B 65:104109

    Article  Google Scholar 

  10. Levitas VI, Javanbakht M (2015) Interaction between phase transformations and dislocations at the nanoscale. Part 1. General phase field approach. J Mech Phys Solids 82:287–319

    Article  CAS  Google Scholar 

  11. Javanbakht M, Levitas VI (2015) Interaction between phase transformations and dislocations at the nanoscale. Part 2. Phase field simulation examples. J Mech Phys Solids 82:164–185

    Article  Google Scholar 

  12. Levitas VI, Javanbakht M (2014) Phase transformations in nanograin materials under high pressure and plastic shear: nanoscale mechanisms. Nanoscale 6:162–166

    Article  CAS  Google Scholar 

  13. Javanbakht M, Levitas VI (2016) Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear. Phys Rev B 94:214104

    Article  Google Scholar 

  14. Levitas VI, Levin VA, Zingerman KM, Freiman EI (2009) Displacive phase transitions at large strains: phase-field theory and simulations. Phys Rev Lett 103:025702

    Article  Google Scholar 

  15. Levitas VI (2013) Phase-field theory for martensitic phase transformations at large strains. Int J Plast 49:85–118

    Article  CAS  Google Scholar 

  16. Levitas VI (2014) Phase field approach to martensitic phase transformations with large strains and interface stresses. J Mech Phys Solids 70:154–189

    Article  Google Scholar 

  17. Levitas VI, Javanbakht M (2015) Thermodynamically consistent phase field approach to dislocation evolution at small and large strains. J Mech Phys Solids 82:345–366

    Article  Google Scholar 

  18. Javanbakht M, Levitas VI (2016) Phase field approach to dislocation evolution at large strains: computational aspects. Int J Solids Struct 82:95–110

    Article  Google Scholar 

  19. Levitas VI, Chen H, Xiong L (2017) Triaxial-stress-induced homogeneous hysteresis-free first-order phase transformations with stable intermediate phases. Phys Rev Lett 118:025701

    Article  Google Scholar 

  20. Levitas VI, Chen H, Xiong L (2017) Lattice instability during phase transformations under multiaxial stress: modifed transformation work criterion. Phys Rev B 96:054118

    Article  Google Scholar 

  21. Levitas VI, Zarechnyy OM (2006) Kinetics of strain-induced structural changes under high pressure. J Phys Chem B 110:16035–16046

    Article  CAS  Google Scholar 

  22. Straumal BB, Kilmametov AR, Ivanisenko Y et al (2015) Phase transitions induced by severe plastic deformation: steady-state and equifinality. Int J Mat Res 106:657–664

    Article  CAS  Google Scholar 

  23. Zharov A (1984) The polymerisation of solid monomers under conditions of deformation at a high pressure. Usp Khim 53:236–250

    Article  CAS  Google Scholar 

  24. Zharov A (1994) High pressure chemistry and physics of polymers, Kovarskii AL (ed). CRC Press, Boca Raton, Chapter 7, pp 267–301

    Google Scholar 

  25. Levitas VI, Ma Y, Hashemi J, Holtz M, Guven N (2006) 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. J Chem Phys 25:044507

    Article  Google Scholar 

  26. Levitas VI, Zarechnyy OM (2010) Modeling and simulation of strain-induced phase transformations under compression in a diamond anvil cell. Phy Rev B 82:174123

    Article  Google Scholar 

  27. Levitas VI, Zarechnyy OM (2010) Modeling and simulation of strain-induced phase transformations under compression and torsion in a rotational diamond anvil cell. Phys Rev B 82:174124

    Article  Google Scholar 

  28. Feng B, Levitas VI, Zarechnyy OM (2013) Plastic flows and phase transformations in materials under compression in diamond anvil cell: effect of contact sliding. J Appl Phys 114:043506

    Article  Google Scholar 

  29. Feng B, Zarechnyy OM, Levitas VI (2013) Strain-induced phase transformations under compression, unloading, and reloading in a diamond anvil cell. J Appl Phys 113:173514

    Article  Google Scholar 

  30. Feng B, Levitas VI (2013) Coupled phase transformations and plastic flows under torsion at high pressure in rotational diamond anvil cell: effect of contact sliding. J Appl Phys 114:213514

    Article  Google Scholar 

  31. Feng B, Levitas VI, Zarechnyy OM (2014) Strain-induced phase transformations under high pressure and large shear in a rotational diamond anvil cell: simulation of loading, unloading, and reloading. Comput Mater Sci 84:404–416

    Article  CAS  Google Scholar 

  32. Feng B, Levitas VI, Ma Y (2014) Strain-induced phase transformation under compression in a diamond anvil cell: simulations of a sample and gasket. J Appl Phys 115:163509

    Article  Google Scholar 

  33. Feng B, Levitas VI (2016) 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. J Appl Phys 119:015902

    Article  Google Scholar 

  34. Feng B, Levitas VI (2017) Plastic flows and strain-induced alpha to omega phase transformation in zirconium during compression in a diamond anvil cell: finite element simulations. Mater Sci Eng A 680:130–140

    Article  CAS  Google Scholar 

  35. Levitas VI (1996) Large deformation of materials with complex rheological properties at normal and high pressure. Nova Science Publishers, New York

    Google Scholar 

  36. Feng B, Levitas VI, Hemley RJ (2016) Large elastoplasticity under static megabar pressures: formulation and application to compression of samples in diamond anvil cells. Int J Plast 84:33–57

    Article  Google Scholar 

  37. Hemley RJ, Mao HK, Shen GY, Badro J, Gillet P, Hanfland M, Hausermann D (1997) X-ray imaging of stress and strain of diamond, iron, and tungsten at megabar pressures. Science 276:1242–1245

    Article  CAS  Google Scholar 

  38. Feng B, Levitas VI (2017) Pressure self-focusing effect and novel methods for increasing the maximum pressure in traditional and rotational diamond anvil cells. Sci Reports 7:45461

    Article  Google Scholar 

  39. Feng B, Levitas VI (2017) Large elastoplastic deformation of a sample under compression and torsion in a rotational diamond anvil cell under megabar pressures. Int J Plast 92:79–95

    Article  CAS  Google Scholar 

  40. Feng B, Levitas VI (2017) 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. Int J Plast 96:156–181

    Article  CAS  Google Scholar 

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Acknowledgements

The support of ARO (W911NF-12-1-0340), NSF (DMR-1434613 and CMMI-1536925), and Iowa State University (Schafer 2050 Challenge Professorship and Vance Coffman Faculty Chair Professorship) is gratefully acknowledged.

Author information

Authors and Affiliations

  1. Departments of Aerospace Engineering, Mechanical Engineering, and Material Science and Engineering, Iowa State University, Ames, IA, 50011, USA

    Valery I. Levitas

  2. Ames Laboratory, Division of Materials Science & Engineering, Ames, IA, 50011, USA

    Valery I. Levitas

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  1. Valery I. Levitas
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Correspondence to Valery I. Levitas .

Editor information

Editors and Affiliations

  1. Colorado School of Mines, Golden, Colorado, USA

    Aaron P. Stebner

  2. Northwestern University, Evanston, Illinois, USA

    Gregory B. Olson

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Levitas, V.I. (2018). Phase Transformations Under High Pressure and Large Plastic Deformations: Multiscale Theory and Interpretation of Experiments. In: Stebner, A., Olson, G. (eds) Proceedings of the International Conference on Martensitic Transformations: Chicago. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-319-76968-4_1

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