http://dx.doi.org/10.1007/bf01177488

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Title

Tangent Modulus Matrix For Finite-Element Analysis Of Hyperelastic Materials

Authors

Authors

D. W. Nicholson

Comments

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Abbreviated Journal Title

Acta Mech.

Keywords

RUBBER; Mechanics

Abstract

In this study, using the VEC operator [1], compact expressions are formulated for the tangent modulus matrix of hyperelastic materials, in particular elastomers, using Lagrangian coordinates. Compressible, incompressible, and near-compressible materials are considered. Expressions are obtained for the corresponding finite element tangent stiffness matrices. It is observed that the incremental stress-strain relations should be considered anisotropic. Numerical procedures based on Newton iteration are sketched. The limiting case of small strain is developed. Finally, the tangent modulus matrix is presented for the Mooney-Rivlin material, with application to the rubber rod element.

Journal Title

Acta Mechanica

Volume

112

Issue/Number

1-4

Publication Date

1-1-1995

Document Type

Article

Language

English

First Page

187

Last Page

201

WOS Identifier

WOS:A1995RV39200015

ISSN

0001-5970

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