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A tabulated formulation of hyperelasticity with rate effects and damage

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Abstract

The simulation of rubber-like materials is usually based on hyperelasticity. If strain-rate dependency has to be considered viscous dampers also have to be taken into account in the rheological model. A disadvantage of such a description is time-consuming parameter identification associated with the damping constants. In this paper, a tabulated formulation is presented which allows the fast generation of input data based on uniaxial static and dynamic tensile tests at different strain rates. Unloading, i.e. forming a hysteresis loop, can also be modeled easily based on a damage formulation. We show the theoretical background and algorithmic setup of our model that has been implemented in the explicit finite element program LS-DYNA [1-3]. Apart from purely numerical examples, the validation of a soft and a hard rubber under loading and subsequent unloading at different strain rates is shown.

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Authors and Affiliations

  1. DaimlerChrysler AG, EP/SPB, HPC X271, 71059, Sindelfingen, Germany

    S. Kolling

  2. Freiligrathstr. 6, 63071, Offenbach, Germany

    P. A. Du Bois

  3. Department of Mechanical and Aerospace Engineering, University of California, San Diego, USA

    D. J. Benson

  4. Livermore Software Technology Corporation, 7374 Las Positas Road, Livermore, CA, 94551, USA

    W. W. Feng

Authors
  1. S. Kolling
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  2. P. A. Du Bois
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  3. D. J. Benson
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  4. W. W. Feng
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Correspondence to S. Kolling.

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Kolling, S., Bois, P.A.D., Benson, D.J. et al. A tabulated formulation of hyperelasticity with rate effects and damage. Comput Mech 40, 885–899 (2007). https://doi.org/10.1007/s00466-006-0150-x

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  • DOI: https://doi.org/10.1007/s00466-006-0150-x

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