The energy density of martensitic thin films via dimension reduction

被引:0
|
作者
Freddi, L
Paroni, R
机构
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
[2] Univ Sassari, Dipartimento Architettura & Pianificaz, I-07041 Alghero, Italy
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A variational limit defined on the space of bi-dimensional gradient Young measures is obtained from three-dimensional elasticity via dimension reduction. The resulting limit problem uniquely determines the energy density of the thin film. Our result might be used to compute the microstructure in membranes made of phase transforming material.
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收藏
页码:439 / 459
页数:21
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