Title

Tangent Modulus Matrix For Finite Element Analysis Of Hyperelastic Materials

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. © 1995 Springer-Verlag.

Publication Date

3-1-1995

Publication Title

Acta Mechanica

Volume

112

Issue

1-4

Number of Pages

187-201

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/BF01177488

Socpus ID

0029179120 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0029179120

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