MATHEMATICAL ANALYSIS OF SUCCESSIVE LINEAR APPROXIMATION FOR MOONEY-RIVLIN MATERIAL MODEL IN FINITE ELASTICITY

被引：0

作者：

Cipolatti, R. ^{[1
]}

Liu, I-Shih ^{[1
]}

Rincon, M. A. ^{[2
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil

[2] Univ Fed Rio de Janeiro, Inst Matemat, Dep Ciencia Computacao, BR-21945970 Rio De Janeiro, Brazil

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2012年 / 2卷 / 04期

关键词：

Linearized constitutive equations; Mooney-Rivlin material; relative lagrangian formulation; existence and uniqueness;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For calculating large deformations of solid bodies, we have proposed a method of successive linear approximation, by considering the relative Lagrangian formulation. In this article we briefly describe this method, which is applied for nearly incompressible Mooney-Rivlin materials. We prove the existence and uniqueness of weak solutions for associated boundary value problems that arise in each step of the method. In our analysis we consider also a non-standard case, where the coefficients present in the constitutive function of Mooney-Rivlin materials do not satisfy the usual E-inequalities.

引用

页码：363 / 379

页数：17

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