Material symmetry and singularities in solids
Material symmetry and singularities in solids
复制标题
固体中的材料对称性和奇点
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
P. Cermelli
中科院分区：
文献类型：
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作者：
P. Cermelli
我们研究了晶体或固体的对称群与材料可以支持的变形（或微观结构）场中的线奇点之间的关系。本文提出了一种方法，在某些相关情况下，它允许我们用在缺陷子流形上支持的合适的DeRham电流来描述奇点。该电流测量局部变形（或微观结构）扩展到全局定义场的障碍。这里所描述的过程为缺陷材料的弱场方程的公式提供了基础，并阐明了几乎任何一类材料对称的相容关系的结构。
We examine the relations between the symmetry group of a crystalline or solid body and the line singularities in the deformation (or microstructural) field which the material can support. A method is developed which, in some relevant cases allows us to describe a singularity by means of a suitable DeRham current, supported on the defect submanifold. This current measures the obstruction to the extension of the local deformation (or microstructure) to a globally defined field. The procedure described here yields the basis of a formulation of weak field equations for a defective material, and clarifies the structure of the compatibility relations for virtually any class of material symmetry.