On compressible versions of the incompressible neo-Hookean material. (February 2015)

• Record Type: Journal Article
• Authors: Pence, Thomas J; Gou, Kun
• Other Names: Casey James guest-editor.
• Is Part Of: Mathematics and mechanics of solids. Volume 20:Number 2(2015:Feb.)
• Page Start: 157
• Page End: 182
• Publication Date: 2015-02
• Subjects: Hyperelastic -- rubber elasticity -- nearly incompressible -- barely compressible -- penalty methods; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286514544258
• Languages: English
• ISSNs: 1081-2865

Abstract

We consider three different compressible versions of the conventional incompressible neo-Hookean material model. The different versions are not new and have been used in various model studies. They each give neo-Hookean behavior in an appropriate incompressible limit. The three versions each show some basic differences with respect to each other as regards the qualitative nature of the approach to the neo-Hookean limit. The purpose of this study is to exhibit these differences.