3-DIMENSIONAL INCOMPRESSIBLE VISCOELASTICITY IN LARGE STRAINS - FORMULATION AND NUMERICAL APPROXIMATION

被引：91

作者：

LETALLEC, P

RAHIER, C

KAISS, A

机构：

[1] MANUFACTURE FRANCAISE PNEUMAT MICHELIN, F-63040 CLERMONT FERRAND, FRANCE

[2] INRIA, F-78153 LE CHESNAY, FRANCE

[3] LAB CENT PONTS & CHAUSSEES, PARIS, FRANCE

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1993年 / 109卷 / 3-4期

关键词：

D O I：

10.1016/0045-7825(93)90080-H

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper considers viscoelastic incompressible solids in large deformations. A three-dimensional thermodynamical model is first proposed. It leads to a nonlinear variational problem which is approximated in space by mixed finite elements and in time by a first order implicit scheme. This approximation is analyzed on the corresponding linearized problem. Finally, an elimination strategy is described which reduces each step of the discrete problem to the solution of a standard hyperelastic problem to be solved by Newton's method.

引用

页码：233 / 258

页数：26

共 23 条

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[22] ON A FULLY 3-DIMENSIONAL FINITE-STRAIN VISCOELASTIC DAMAGE MODEL - FORMULATION AND COMPUTATIONAL ASPECTS [J].

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[23]

WEBER JD, 1975, MECHANICS VISCOELAST, P147

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