Theory Of Thermohyperelasticity For Near-Incompressible Elastomers

    Authors

    D. W. Nicholson;B. Lin

    Comments

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    Abbreviated Journal Title

    Acta Mech.

    Keywords

    RUBBER; Mechanics

    Abstract

    Elastomers are often used in hot and confining environments in which thermomechanical properties are important. It appears that published constitutive models for elastomers are mostly limited to isothermal conditions. In this study, a thermohyperelastic constitutive model for near-incompressible elastomers is formulated in terms of the Helmholtz free energy density phi. Shear and volume aspects of the deformation are decoupled. Thermomechanical coupling occurs mostly as thermal expansion. Criteria for thermodynamic stability are derived in compact form. As illustration, a particular expression for phi is presented which represents the thermomechanical counterpart of the conventional two-term incompressible Mooney-Rivlin model. It is used to analyze several adiabatic problems in a rubber rod.

    Journal Title

    Acta Mechanica

    Volume

    116

    Issue/Number

    1-4

    Publication Date

    1-1-1996

    Document Type

    Article

    Language

    English

    First Page

    15

    Last Page

    28

    WOS Identifier

    WOS:A1996UV15500002

    ISSN

    0001-5970

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