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Conditions for the onset of elastic and material instabilities in hyperelastic materials

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Abstract

Several constitutive inequalities have been proposed in the literature to quantify the notion that ‘stress increases with strain’ in an elastic material. Due to some inherent shortcomings in them, which we discuss, we propose a new tensorial criterion for isotropic materials. We also present necessary conditions in terms of elasticity tensors for the onset of elastic instabilities.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560012, India

    C. S. Jog & Kunal D. Patil

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  1. C. S. Jog
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  2. Kunal D. Patil
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Correspondence to C. S. Jog.

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Jog, C.S., Patil, K.D. Conditions for the onset of elastic and material instabilities in hyperelastic materials. Arch Appl Mech 83, 661–684 (2013). https://doi.org/10.1007/s00419-012-0711-8

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  • DOI: https://doi.org/10.1007/s00419-012-0711-8

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