On objectivity and material symmetry for simple elastic solids

    Research output: Contribution to journalArticle

    23 Citations (Scopus)

    Abstract

    Restrictions imposed on stress response functions by objectivity and material symmetry are usually obtained by appeal to both a reference configuration and a response function common to all observers. Here these restrictions are obtained by regarding the reference configuration to be observer-dependent in a natural manner, and without the need to assume the existence of a common response function. Remarks are made on the distinction which should be drawn between the notions of observer transformation and rigid deformation, the consequences of this distinction for the correct interpretation of 'invariance under superposed rigid motions', and on the domains of response functions.
    Original languageEnglish
    Pages (from-to)233-242
    Number of pages9
    JournalJournal of Elasticity
    Volume60
    Issue number3
    DOIs
    Publication statusPublished - Jun 2000

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    Invariance

    Keywords

    • objectivity
    • material symmetry
    • stress response
    • physics

    Cite this

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    title = "On objectivity and material symmetry for simple elastic solids",
    abstract = "Restrictions imposed on stress response functions by objectivity and material symmetry are usually obtained by appeal to both a reference configuration and a response function common to all observers. Here these restrictions are obtained by regarding the reference configuration to be observer-dependent in a natural manner, and without the need to assume the existence of a common response function. Remarks are made on the distinction which should be drawn between the notions of observer transformation and rigid deformation, the consequences of this distinction for the correct interpretation of 'invariance under superposed rigid motions', and on the domains of response functions.",
    keywords = "objectivity, material symmetry, stress response, physics",
    author = "A.I. Murdoch",
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    On objectivity and material symmetry for simple elastic solids. / Murdoch, A.I.

    In: Journal of Elasticity, Vol. 60, No. 3, 06.2000, p. 233-242.

    Research output: Contribution to journalArticle

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