规范空间理论的破坏准则及经典形式

来源期刊：中南大学学报(自然科学版)1999年第2期

论文作者：郭少华

文章页码：19 - 22

关键词：各向异性;破坏准则;规范空间理论;最小本征弹性

Key words：anisotropy; failure criterion; standard space theory; minimum eigen-elasticity

摘    要：从脆性材料自身演变的角度，研究了各 向异性材料破坏的内部规律和控制因素，提出了最小本征弹性趋近于零为各向异性材料在载荷作用下失效的破坏准则，并以最小本征弹性所对应的异性子空间中的模态应力达到临界值作为经典形式．在不变子空间情况下，在各向同性体及面上正好就是Mises强度准则.

Abstract: The intrinsic law and dominant factor in the process of failure for anisotropic solids are studied from the view of the structure evolution of brittle materials. A new cailure criterion is given here, that is, the minimal eigen elasticity which is cose to zero is the failure criterion of anisotropic solids under loading, and the critical value of the model stress, which is located in the anisotropic subspace of the minimal eigen elasticity, is taken as the classical form of the failure criterion. Under the condition of invariable subspaces, the criterion is just the Mises′s one of isotropic solids.