Limitations of the St. Venant-Kirchhoff material model in large strain regimes

被引：11

作者：

Sautter, Klaus Bernd ^{[1
]}

Messmer, Manuel ^{[1
]}

Teschemacher, Tobias ^{[1
]}

Bletzinger, Kai-Uwe ^{[1
]}

机构：

[1] Tech Univ Munich, Chair Struct Anal, Munich, Germany

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2022年 / 147卷

关键词：

St; Venant-Kirchhoff; Neo-Hookean; Ogden; Large strains; Artificial softening; Instabilities; Elasticity; Compressive strains; LINEAR CONSTITUTIVE RELATIONS;

D O I：

10.1016/j.ijnonlinmec.2022.104207

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The St. Venant-Kirchhoff law is a widely used constitutive relation in engineering applications. However, its limitation to small strains is frequently mentioned in the literature but rarely elaborated on. Therefore, we present a comprehensive study discussing the St. Venant-Kirchhoff law and its shortcomings in large stain regimes, focusing on compressive loading based on one-dimensional stress and strain states. The linear stress-strain relation in combination with the associated Green-Lagrange strain yields a nonphysical structural behavior for large compressive strains, which is reflected in instabilities and nonphysical softening. Common misconceptions concerning the St. Venant-Kirchhoff law and alternative constitutive models are presented and evaluated based on a two-bar snap-through problem.

引用

页数：10

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