Title
Tangent Modulus Matrix For Finite-Element Analysis Of Hyperelastic Materials
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
DOI Link
Language
English
First Page
187
Last Page
201
WOS Identifier
ISSN
0001-5970
Recommended Citation
"Tangent Modulus Matrix For Finite-Element Analysis Of Hyperelastic Materials" (1995). Faculty Bibliography 1990s. 1422.
https://stars.library.ucf.edu/facultybib1990/1422
Comments
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