On Choosing Effective Symmetry Classes for Elasticity Tensors
On Choosing Effective Symmetry Classes for Elasticity Tensors
复制标题
关于为弹性张量选择有效的对称类
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
M. Slawinski
中科院分区：
文献类型：
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作者：
C. Diner;M. Kochetov;M. Slawinski
我们制定了一种通过表现出材料对称性的弹性张量来表示一般各向异性弹性张量的方法：有效张量。选择有效张量的方法基于检查给定张量的单斜距离函数图的特征，选择适当的对称类，然后找到该类中最接近的张量。有效张量的概念并不等于最接近的张量，因为使用单斜张量总是比使用任何其他非平凡对称性的张量获得更接近的近似值。因此，我们使用单斜距离函数图的定性特征来选择一个有效的对称类，在其中可以计算最接近的张量。
We formulate a method of representing a generally anisotropic elasticity tensor by an elasticity tensor exhibiting a material symmetry: an effective tensor. The method for choosing the effective tensor is based on examining the features of the plot of the monoclinic-distance function of a given tensor, choosing an appropriate symmetry class, and then finding the closest tensor in that class. The concept of the effective tensor is not tantamount to the closest tensor since one always obtains a closer approximation using a monoclinic tensor than a tensor of any other nontrivial symmetry. Hence, we use qualitative features of the plot of the monoclinic-distance function to choose an effective symmetry class within which the closest tensor can be computed.