CONVEXITY CONDITIONS AND EXISTENCE THEOREMS IN NONLINEAR ELASTICITY
CONVEXITY CONDITIONS AND EXISTENCE THEOREMS IN NONLINEAR ELASTICITY
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DOI：
10.1007/bf00279992
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发表时间：
1977-01-01
影响因子：
2.5
通讯作者：
BALL, JM
中科院分区：
文献类型：
--
作者：
BALL, JM
本文的目的是在对材料响应的实际假设下，给出一维、二维和三维非线性弹性力学各种平衡边值问题的存在性定理。虽然有些结果可以推广到柯西弹性，但我们将把讨论限制在超弹性（绿色弹性）材料，即具有储能函数的弹性材料。我们忽略热效应。对于这样的材料，典型的边界值问题采取找到向量场U0：f2 + f1的形式，使得积分
The purpose of this article is to present existence theorems for various equilibrium boundary-value problems of nonlinear elasticity in one, two and three dimensions under realistic hypotheses on the material response. Although some of the results may be extended to cover Cauchy elasticity, we shall restrict our discussion to hyperelastic (Green elastic) materials, that is, to elastic materials possessing a stored-energy function. We ignore thermal effects. For such materials a typical boundary-value problem takes the form of finding a vector field Uo: f2-+~" making the integral