Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems
By Félix Mouhat, Franccois-Xavier Coudert. 2014
3,161 citations recorded by the source corpus.
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.
Subfields: Materials Chemistry, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/022c04080eb0a21d65b9bfc944aa73a25c590482
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Citations in the corpus
- CaXH3 (X = Mn, Fe, Co) perovskite‐type hydrides for hydrogen storage applications (2019, background): “They are components of a symmetric 6 × 6 stiffness matrix with 21 independent constants basically based on Hooke's law(45) and the number of the elastic stiffness tensor of CaXH3 compounds has three independent components because of the symmetry properties of the Pm-3m space group, namely, C11, C12,”
- Comment on ‘The Computational 2D Materials Database: high-throughput modeling and discovery of atomically thin crystals’ (2018, background): “It would be quite difficult to check the positive definiteness of the quadratic form (10) directly and it can, therefore, be replaced by equivalent easier conditions [10]: 1.”
- A progress report on the MAB phases: atomically laminated, ternary transition metal borides (2019, background): “To satisfy the requirements of mechanical continuum and stability in orthorhombic crystals, cij the following criteria should be met [132]:”