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A viscoelastic damage model for polycrystalline ice, inspired by Weibull-distributed fiber bundle models. Part I: Constitutive models

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Abstract

We consider a constitutive model for polycrystalline ice, which contains delayed-elastic and viscous deformations, and a damage variable. The damage variable is coupled to the delayed-elastic deformation by a fiber bundle ansatz. We construct an isotropic theory, which can be calibrated with experimental data. Furthermore, we generalize the theory to a damage model in terms of rank-four tensors. This general model allows the evolution of anisotropic damage.

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Authors and Affiliations

  1. Laboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zürich, Wolfgang-Pauli-Str. 27, 8093, Zurich, Switzerland

    Arne Keller & Kolumban Hutter

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  1. Arne Keller
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  2. Kolumban Hutter
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Correspondence to Arne Keller.

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Communicated by Andreas Öchsner.

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Keller, A., Hutter, K. A viscoelastic damage model for polycrystalline ice, inspired by Weibull-distributed fiber bundle models. Part I: Constitutive models. Continuum Mech. Thermodyn. 26, 879–894 (2014). https://doi.org/10.1007/s00161-014-0348-7

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  • DOI: https://doi.org/10.1007/s00161-014-0348-7

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