The Kirchhoff theory for elastic pre-strained shells

被引：1
|
作者：
Li, Hui [1 ]
机构：
[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 78卷
关键词：
Nonlinear elasticity; Pre-strained; Gamma-convergence; Calculus of variations; GAMMA-CONVERGENCE; NONLINEAR ELASTICITY; 3-DIMENSIONAL ELASTICITY; INCOMPRESSIBLE MATERIALS; ISOMETRIC IMMERSIONS; PLATE-THEORY; DERIVATION; MEMBRANE; METRICS; SHEETS;
D O I：
10.1016/j.na.2012.07.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Applying methods of Gamma-convergence, we introduce and justify a variant of the Kirchhoff theory for pre-strained shells. The effective 2d energy represents bending relative to the desired Riemannian metric. We also develop the analogue of this theory in the presence of the incompressibility constraint with respect to the metric. (c) 2012 Elsevier Ltd. All rights reserved.
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页码：1 / 16
页数：16
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