Numerical study of stress and plastic strain evolution under compression and shear of a sample in a rotational anvil cell

References

• Duffy , T. S. , Shen , G. , Heinz , D. L. , Shu , J. , Ma , Y. Z. , Mao , H. K. , Hemley , R. J. and Singh , A. K. 1999 . Lattice strains in gold and rhenium under nonhydrostatic compression to 37 GPa . Phys. Rev , 60 : 15063 – 15073 .
   Google Scholar
• Durham , W. B. , Weidner , D. J. , Karato , S. I. and Wang , Y. 2002 . “ Plastic deformation of minerals and rocks ” . In Reviews in Mineralogy and Geochemistry , Edited by: Karato , S. I. and Wenk , H. R. Vol. 51 , 21 – 49 . Washington, DC : Mineralogical Society of America .
   Google Scholar
• Wenk , H. R. , Matthies , S. , Hemley , R. J. , Mao , H. K. and Shu , J. 2000 . The plastic deformation of iron at pressures of the Earth's inner core . Nature , 405 : 1044 – 1047 .
   PubMed Web of Science ®Google Scholar
• Liermann , H. P. , Merkel , S. , Miyagi , L. , Wenk , H. R. , Shen , G. , Cynn , H. and Evans , W. J. 2009 . Experimental method for in situ determination of material textures at simultaneous high pressure and high temperature by means of radial diffraction in the diamond anvil cell . Rev. Scient. Instrum , 80 : 1 – 8 . 104501
   Google Scholar
• Merkel , S. , Tome , C. N. and Wenk , H. R. 2009 . Modeling analysis of the influence of plasticity on high pressure deformation of hcp-Co . Phys. Rev. B , 79 : 1 – 13 . 064110
   Google Scholar
• Bridgman , P. W. 1952 . Studies in Large Plastic Flow and Fracture , New York : McGraw Hill .
   Google Scholar
• Bridgman , P. W. 1935 . Effect of high shear stress combined with high hydrostatic pressure . Phys. Rev , 48 : 825 – 847 .
   Google Scholar
• Enikolopian , N. S. 1985 . Some aspects of chemistry and physics of plastic flow . Pure Appl. Chem , 57 : 1707 – 1711 .
   Google Scholar
• Zharov , A. A. 1994 . “ Reaction of solid monomers and polymers under shear deformation and high pressure ” . In High Pressure Chemistry and Physics of Polymers , Edited by: Kovarskii , A. L. 267 – 301 . Boca Raton, Florida : CRC Press .
   Google Scholar
• Blank , V. D. , Boguslavski , Y. Y. , Eremetz , M. I. , Izkevich , E. S. , Konyaev , Y. S. , Shirokov , A. M. and Estrin , E. I. 1984 . Pressure self-multiplication effect at phase transition under quasi-hydrostatic conditions . Sov. Phys. JETP , 87 : 922 – 926 .
   Google Scholar
• Aleksandrova , M. M. , Blank , V. , Golobokov , A. , Konyaev , Y. S. and Estrin , E. 1987 . Effect of shear straining under the pressure on phase transition semiconductor–metal in indiy tellyride . Solid State Phys , 29 : 2573 – 2578 .
   Google Scholar
• Aleksandrova , M. M. , Blank , V. and Buga , S. 1993 . Phase transition in Ge and Si under shear strain under pressure up to 12 GPa and P–T–g diagrams of these elements . Solid State Phys , 35 : 1308 – 1317 .
   Google Scholar
• Novikov , N. , Polotnyak , S. , Shvedov , L. and Levitas , V. I. 1999 . Phase transition under compression and shear in diamond anvils: Experiment and theory . Superhard Mater , 3 : 39 – 51 .
   Google Scholar
• Levitas , V. I. , Ma , Y. Z. and Hashemi , J. 2005 . Transformation-induced plasticity and cascading structural changes in hexagonal boron nitride under high pressure and shear . Appl. Phys. Lett , 86 : 1 – 3 . 071912
   Google Scholar
• Levitas , V. I. , Ma , Y. , Hashemi , J. , Holtz , M. and 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 , 125 : 1 – 14 . 044507
   Google Scholar
• Levitas , V. I. 2004 . High-pressure mechanochemistry: conceptual multiscale theory and interpretation of experiments . Phys. Rev. B , 70 : 1 – 24 . 184118
   Google Scholar
• Levitas , V. 2004 . “ Continuum mechanical fundamentals of mechanochemistry ” . In High Pressure Surface Science and Engineering , Edited by: Gogotsi , Y. and Domnich , V. 159 – 292 . Bristol : Institute of Physics .
   Google Scholar
• Moss , W. and Goettel , K. A. 1987 . Finite-element design of diamond anvils . Appl. Phys. Lett , 50 : 25 – 27 .
   Web of Science ®Google Scholar
• Moss , W. C. , Hallquist , J. O. , Reichlin , R. , Goettel , K. A. and Martin , S. 1986 . Finite-element analysis of the diamond anvil cell – achieving 4.6 Mbar . Appl. Phys. Lett , 48 : 1258 – 1260 .
   Web of Science ®Google Scholar
• Weir , S. , Akella , J. , Ruddle , C. , Goodwin , T. and Hsiung , L. 1998 . Static strengths of Ta and U under ultrahigh pressures . Phys. Rev. B , 58 : 11258 – 11265 .
   Google Scholar
• Merkel , S. , Hemley , R. J. and Mao , H. K. 1999 . Finite-element modeling of diamond deformation at multimegabar pressures . Appl. Phys. Lett , 74 : 656 – 658 .
   Web of Science ®Google Scholar
• Levitas , V. I. , Polotnyak , S. B. and Idesman , A. V. 1996 . Large elastoplastic deformations and stress state of deformable gasket of high pressure apparatus with diamond anvils . Strength Mater , 221 : 221 – 227 .
   Google Scholar
• Novikov , N. V. , Levitas , V. I. and Idesman , A. V. 1990 . Theoretical description of thermomechanical effects in high pressure apparatus . High Press. Res , 5 : 868 – 870 .
   Google Scholar
• Levitas , V. I. and Zarechnyy , O. M. 2007 . Plastic flow under compression and shear in rotational diamond anvil cell: Finite-element study . Appl. Phys. Lett , 91 : 1 – 3 . 141919
   Google Scholar
• Levitas , V. I. 1996 . Large Deformation of Materials with Complex Rheological Properties at Normal and High Pressure , New York : Nova Science Publishers .
   Google Scholar
• Hibbit , D. , Karlsson , I. and Sorenson , J. 2007 . ABAQUS, Version 6.7 , RI, USA : Hibbit, Karlsson and Sorensen Inc., Providence .
   Google Scholar
• Levitas , V. I. and Zarechnyy , O. M. 2009 . Modeling and simulation of mechanochemical processes in rotational diamond anvil cell . Europhysics Letters , 88 : 1 – 6 . 16004
   Google Scholar
• Levitas , V. I. 1997 . Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. Part I . J. Mech. Phys. Solids , 45 : 1203 – 1222 .
   Web of Science ®Google Scholar
• Levitas , V. I. 1997 . Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. Part II . J. Mech. Phys. Solids , 45 : 923 – 947 .
   Web of Science ®Google Scholar
• Mao , H. and Bell , P. 1978 . High pressure physics. Sustained static generation of 1.36 to 1.72 Mbar . Science , 200 : 1145 – 1147 .
   PubMed Web of Science ®Google Scholar
• Vereshchagin , L. and Zubova , E. 1960 . Measurement of the shearing stress of a number of substances at up to 100000 atm pressure . Doklady Akademii Nauk SSSR , 134 : 787 – 788 .
   Google Scholar
• Domnich , V. , Ge , D. and Gogotsi , Y. 2004 . “ Indentation-induced phase transformations in semiconductors ” . In High Pressure Surface Science and Engineering , Edited by: Gogotsi , Y. and Domnich , V. 381 Bristol : Institute of Physics .
   Google Scholar