Coordinate-free characterization of the symmetry classes of elasticity tensors

Coordinate-free characterization of the symmetry classes of elasticity tensors
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DOI:
10.1007/s10659-007-9099-z
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发表时间:
2007-06-01
影响因子:
2
通讯作者:
Slawinski, Michael A.
Slawinski, Michael A.
中科院分区:
工程技术4区
文献类型:
--
作者:
Bona, Andrej;Bucataru, Ioan;Slawinski, Michael A.

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我们给出了识别弹性张量的所有对称类的无坐标条件,并证明了这些条件是充分必要的。此外,我们构造了这个张量的自然坐标系,而不需要先验的对称轴知识。
We formulate coordinate-free conditions for identifying all the symmetry classes of the elasticity tensor and prove that these conditions are both necessary and sufficient. Also, we construct a natural coordinate system of this tensor without the a priory knowledge of the symmetry axes.