当前位置: X-MOL 学术SIAM J. Math. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Hidden Convexity in a Problem of Nonlinear Elasticity
SIAM Journal on Mathematical Analysis ( IF 2.2 ) Pub Date : 2021-02-16 , DOI: 10.1137/20m1333377
Nassif Ghoussoub , Young-Heon Kim , Hugo Lavenant , Aaron Zeff Palmer

SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1070-1087, January 2021.
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.


中文翻译:

非线性弹性问题中的隐凸性

SIAM数学分析杂志,第53卷,第1期,第1070-1087页,2021年1月。
我们在一般情况下研究可压缩和不可压缩的非线性弹性变化问题。我们的主要结果就变形构造中压力的凸度特性而言,为平衡成为全局能量最小化提供了充分的条件。我们还基于度量值映射提供了问题的凸松弛及其对偶表示,这与我们条件下的原始问题一致。
更新日期:2021-02-17
down
wechat
bug