用能量法研究弹性半空间的稳定性

Finite Thermoelasticity Pub Date : 1999-11-14 DOI:10.1115/imece1999-0941

Yi-chao Chen, L. Wheeler

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引用次数: 0

摘要

利用能量稳定性判据研究了可压缩弹性半空间变形的稳定性。给出了无界域上的最小化问题，并给出了该问题的第一和第二变分条件。导出了一般可压缩各向同性材料的代数稳定性条件，以及新hookean类Hadamard材料的代数稳定性条件。

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Stability of Elastic Half-Spaces by an Energy Method

An energy stability criterion is used to study the stability of deformations of a compressible elastic half-space. A minimization problem is formulated in an unbounded domain, and the first and second variation conditions are derived for this problem. Algebraic stability conditions are derived for general compressible isotropic materials, as well as for neo-Hookean class of Hadamard materials.

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Finite Thermoelasticity

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