Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems

  title={Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems},
  author={F{\'e}lix Mouhat and Franccois-Xavier Coudert},
  journal={Physical Review B},
October, 2014)WhiletheBornelasticstabilitycriteriaarewell-knownforcubiccrystals,thereissomeconfusionintheliteratureabout the form it should take for lower symmetry crystal classes. We present here closed form necessary andsufficientconditionsforelasticstabilityinallcrystalclasses,asaconciseandpedagogicalreferencetostabilitycriteria in non-cubic materials. 

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  • Rev. B 76, 054115
  • 2007
  • Lett. A 378, 2303
  • 2014
  • Rep. 4, 6993
  • 2014
  • Mod. Phys. 84, 945
  • 2012