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Study of a new class of nonlinear inextensible elastic bodies

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Abstract

In this paper, we study the consequences of the constraint of inextensibility with regard to a class of constitutive relations, where the strain is given as a function of the stress. Such constitutive equations belong to a wider class of implicit constitutive relations, which have been proposed recently in the literature.

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Authors and Affiliations

  1. Departamento de Ingeniería Mecánica, Universidad de Chile, Beauchef 851, Santiago Centro, Santiago, Chile

    R. Bustamante

  2. Department of Mechanical Engineering, University of Texas A&M, College Station, TX, USA

    K. R. Rajagopal

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  1. R. Bustamante
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Correspondence to R. Bustamante.

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Bustamante, R., Rajagopal, K.R. Study of a new class of nonlinear inextensible elastic bodies. Z. Angew. Math. Phys. 66, 3663–3677 (2015). https://doi.org/10.1007/s00033-015-0581-3

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  • DOI: https://doi.org/10.1007/s00033-015-0581-3

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