WIAS Preprint No. 1285, (2007)

Complete damage in elastic and viscoelastic media and its energetics


  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Roubíček, Tomáš
    ORCID: 0000-0002-0651-5959
  • Zeman, Jan

2008 Physics and Astronomy Classification Scheme

  • 46.15.-x 62.20.-x


  • Inelastic damage, small strain, energetic formulation




A model for the evolution of damage that allows for complete disintegration is addressed. Small strains and a linear response function are assumed. The ``flow rule'' for the damage parameter is rate-independent. The stored energy involves the gradient of the damage variable, which determines an internal length-scale. Quasi-static fully rate-independent evolution is considered as well as rate-dependent evolution including viscous/inertial effects. Illustrative 2-dimensional computer simulations are presented, too.

Appeared in

  • Comput. Methods Appl. Mech. Engrg., 199 (2010) pp. 1242--1253.

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