Scholarlink

<p>Necessary and sufficient elastic stability conditions for single crystals for the seven crystal systems are specified for both stiffness and compliance tensors. For Laue classes of four of these crystal systems, conditions for the positive-definite forms of suitably chosen 4 × 4 real symmetric matrices are shown to be both useful and relevant. Other supposedly equivalent and often simpler conditions proposed in the literature for tetragonal, orthorhombic and monoclinic crystal systems are analysed; all are shown to be incorrect.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Necessary and Sufficient Elastic Stability Conditions for Single Crystals

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年1月27日

查看全文
  • Kevin M. Knowles

摘要

Necessary and sufficient elastic stability conditions for single crystals for the seven crystal systems are specified for both stiffness and compliance tensors. For Laue classes of four of these crystal systems, conditions for the positive-definite forms of suitably chosen 4 × 4 real symmetric matrices are shown to be both useful and relevant. Other supposedly equivalent and often simpler conditions proposed in the literature for tetragonal, orthorhombic and monoclinic crystal systems are analysed; all are shown to be incorrect.