A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit.Part I: The viscoelastic membrane-plate

被引：0

作者：

Patrizio Neff

机构：

[1] Darmstadt University of Technology,AG6, Fachbereich Mathematik

来源：

Zeitschrift für angewandte Mathematik und Physik ZAMP | 2005年 / 56卷

关键词：

74K15; 74K20; 74G65; Membranes; plates; shells; thin films; energy minimization; viscoelasticity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We reduce a viscoelastic finite-strain continuum model to a two-dimensional membrane-plate. The reduction is based on assumed kinematics, analytical integration through the thickness and physically motivated simplifications. The resulting formulation is observer-invariant and accounts for thickness stretch and finite rotations.

引用

页码：148 / 182

页数：34

共 4 条

[1] A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit. Part I: The viscoelastic membrane-plate
Neff, P
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2005, 56 (01): : 148 - 182
[2] Local existence and uniqueness for a geometrically exact membrane-plate with viscoelastic transverse shear resistance
Neff, P
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (09) : 1031 - 1060
[3] A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. Part I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
P. Neff
Continuum Mechanics and Thermodynamics, 2004, 16 : 577 - 628
[4] A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. Part I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
Neff, P
CONTINUUM MECHANICS AND THERMODYNAMICS, 2004, 16 (06) : 577 - 628

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