On stresses conjugate to Eulerian strains

    Authors

    D. W. Nicholson

    Comments

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    Abbreviated Journal Title

    Acta Mech.

    Keywords

    Mechanics

    Abstract

    A stress is considered conjugate to a strain if the product of the stress and an objective rate of the strain has a trace which is equal to the rate of work per unit volume. Using Kronecker product relations, apparently new expressions for stresses conjugate to the Finger strain B, the Euler strain There Exists, the Eulerian (right) stretch tensor V, and log(V) are determined. In addition, a nonclassical strain There Exists is introduced which permits a constitutive equation expressing its Truesdell rate in terms of B and the Truesdell rate of the Cauchy stress.

    Journal Title

    Acta Mechanica

    Volume

    165

    Issue/Number

    1-2

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    87

    Last Page

    98

    WOS Identifier

    WOS:000186610000006

    ISSN

    0001-5970

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