固体失稳的一般判据及其在折痕中的应用
A general criterion for solid instability and its application to creases
摘要：
提出了一种基于力摄动的固体失稳通用判据，该判据在不需要失稳位形先验知识的情况下，可以预测包括折痕在内的失稳。对折痕失稳进行了详细的分析，发现实体失稳的发生并不总是与整体刚度矩阵的非正定性相对应。提出了一种基于材料刚度的单元刚度准则，作为一种更强的准则，以快速确定失稳的发生。这个准则已被证明退化为判断某些已知现象，如颈缩和剪切带现象的不稳定性的准则。此外，强各向异性材料的失稳也可以用单元刚度准则来预测。
英文摘要：
A general force-perturbation-based criterion for solid instability is proposed, which can predict instability including crease without priori knowledge of instability configuration. The crease instability is analyzed in detail, we found that the occurrence of solid instability does not always correspond to the non-positive definiteness of global stiffness matrix. An element stiffness-based criterion based on material stiffness is proposed as a stronger criterion in order to fast determine the occurrence of instability. This criterion has been shown to degenerate into the criterion for judging instability of certain known phenomena, such as necking and shear band phenomena. Besides, instability in strongly anisotropic materials is also predicted by the element stiffness-based criterion.
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