Plane deformations of the Varga material

IF 1.7 4区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mathematics and Mechanics of Solids Pub Date : 2023-10-11 DOI:10.1177/10812865231199460

Daniel J Arrigo, Travis C Chism

引用次数: 1

Abstract

The governing equations for plane deformations of isotropic incompressible hyperelastic materials are highly nonlinear, and consequently, very few exact solutions are known. As far as we are aware, the Varga material is the only material in which results of any generality are known. In this paper, we show that for the Varga material, the full governing equations are in fact linearizable.

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Varga材料的平面变形

各向同性不可压缩超弹性材料的平面变形控制方程是高度非线性的，因此目前已知的精确解很少。据我们所知，瓦尔加材料是唯一一种已知普遍性结果的材料。在本文中，我们证明了对于Varga材料，完整的控制方程实际上是线性的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematics and Mechanics of Solids 工程技术-材料科学：综合

CiteScore

4.80

自引率

19.20%

发文量

159

审稿时长

1 months

期刊介绍： Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science. The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).