论文标题
有限弹性的易碎膜
Brittle membranes in finite elasticity
论文作者
论文摘要
这项工作致力于有限弹性中脆性膜的还原模型的变分推导。我们为分析开发的主要数学工具是：（i）$ gsbv^{p} $的函数的$ gsbv^{p} $满足对亚级别的最大秩约束，可以通过$ c^{1} $近似地近似c^{1} $ - 局部局部沉浸于裂纹集合的常规构建$ sequece $ sequece $ sequece $ sequece $ sequece $ sequece $ seque $ a的$ w.将常规子域映射到断裂的配置上的差异性。
This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a new density result in $GSBV^{p}$ of functions satisfying a maximal-rank constraint on the subgradients, which can be approximated by $C^{1}$-local immersions on regular subdomains of the cracked set, and (ii) the construction of recovery sequences by means of suitable $W^{1,\infty}$ diffeomorphisms mapping the regular subdomains onto the fractured configuration.
