Tangent Modulus Matrix For Finite-Element Analysis Of Hyperelastic Materials

    Authors

    D. W. Nicholson

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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

    Share

    COinS