PofoliaShared via Pofolia

Physical Review B· 2014

Necessary and sufficient elastic stability conditions in various crystal systems

Félix Mouhat, François‐Xavier Coudert

Short summary

Closed-form necessary and sufficient conditions for elastic stability are derived for all crystal classes, resolving confusion in non-cubic materials.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Presents closed-form necessary and sufficient conditions for elastic stability in all crystal systems.
  • Resolves existing confusion in the literature regarding stability criteria for non-cubic materials.
  • Offers a concise and pedagogical reference for elastic stability in materials science.

AI-generated from the title and abstract; the full text is not read.

Abstract

While the Born elastic stability criteria are well known for cubic crystals, there is some confusion in the literature about the form they should take for lower-symmetry crystal classes. Here we present closed form necessary and sufficient conditions for elastic stability in all crystal classes, as a concise and pedagogical reference to stability criteria in noncubic materials.

The authors' abstract, as published at the source. Physical Review B, 2014 · DOI ↗

TakeawaysPremium
Ask the paperFree account

Continue with a free account

Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.

Continue free on the web

Sign in with Google or Apple; no card needed. You come back to this paper.

On your phone:

Field: Materials Chemistry

Materials ChemistryMaterials Science