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On objectivity and material symmetry for simple elastic solids

Murdoch, A.I. (2000) On objectivity and material symmetry for simple elastic solids. Journal of Elasticity, 60 (3). pp. 233-242. ISSN 0374-3535

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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.