A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media

A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
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DOI:
10.1007/bf00042193
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发表时间:
1996-07
影响因子:
2
通讯作者:
Y. Wang;M. Aron
Y. Wang;M. Aron
中科院分区:
工程技术4区
文献类型:
--
作者:
Y. Wang;M. Aron

文献摘要

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可压缩、各向同性、非线性弹性固体平衡方程(由Simpson和Spector [1]建立)的强椭圆性的条件用作为主拉伸函数的储能函数表示。这种重新表述的适用性说明了两个具体的例子的帮助。
The conditions for the strong ellipticity of the equilibrium equations of compressible, isotropic, nonlinearly elastic solids (established by Simpson and Spector [1]) are expressed in terms of the stored-energy function regarded as a function of the principal stretches. The applicability of this reformulation is illustrated with the help of two specific examples.