Eshelby's conjecture in finite plane elastostatics
Eshelby's conjecture in finite plane elastostatics
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DOI：
10.1093/qjmam/hbm024
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发表时间：
2007-12
影响因子：
0.9
通讯作者：
C. I. Kim;M. Vasudevan;P. Schiavone
中科院分区：
文献类型：
--
作者：
C. I. Kim;M. Vasudevan;P. Schiavone
我们考虑一类特殊的可压缩超弹性材料的不稳定矩阵系统，该材料具有有限平面变形的调和型。我们讨论这类材料的Eshelby猜想的类似物。具体地说，我们检查是否内部的应力分布是均匀的，当且仅当不均匀性是椭圆形的系统时，受到均匀的远程应力。
We consider an inhomogeneity-matrix system from a particular class of compressible hyperelastic materials of harmonic type undergoing finiteplane deformations. We discuss the analogue of Eshelby's conjecture for this class of materials. Specifically, we examine whether the stress distribution inside an inhomogeneity is uniform if and only if the inhomogeneity is elliptic when the system is subjected to uniform remote stress.