一个非线性弹性力学问题的隐凸性
Hidden convexity in a problem of nonlinear elasticity
摘要：
我们研究了可压缩和不可压缩的非线性弹性变分问题在一般情况下。我们的主要结果给出了一个平衡是整体能量极小的充分条件，在变形配置的压力凸性质。我们还提供了一个凸松弛的问题，连同其对偶制定，基于测度值映射，这与原来的问题，在我们的条件。
英文摘要：
We study compressible and incompressible nonlinear elasticity variational problems in a general context. Our main result gives a sufficient condition for an equilibrium to be a global energy minimizer, in terms of convexity properties of the pressure in the deformed configuration. We also provide a convex relaxation of the problem together with its dual formulation, based on measure-valued mappings, which coincides with the original problem under our condition.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
