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Existence theorem and finite element method for static problems of a class of nonlinear hyperelastic shells

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Publication:918273
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zbMath0705.73219MaRDI QIDQ918273

Zhiping Li

Publication date: 1989

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)


zbMATH Keywords

Convergencestored-energy functionExistence of minimum points of the total energyGradient type computing schemepolyconvex conditions


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) Membranes (74K15) Methods of reduced gradient type (90C52)


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A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus



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