• Medientyp: Sonstige Veröffentlichung; E-Artikel
  • Titel: Complete-damage evolution based on energies and stresses
  • Beteiligte: Mielke, Alexander [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2011
  • Sprache: Englisch
  • DOI: https://doi.org/10.3934/dcdss.2011.4.423
  • Schlagwörter: 74C05 ; 35K85 ; 49S05 ; 35K65 ; 74R05 ; Energetic solution -- rate-independent system -- complete damage -- parametrized Gamma convergence ; article
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  • Beschreibung: The rate-independent damage model recently developed in [1] allows for complete damage, such that the deformation is no longer well-defined. The evolution can be described in terms of energy densities and stresses. Using concepts of parametrized Gamma-convergence, we generalize the theory to convex, but non-quadratic elastic energies by providing Gamma-convergence of energetic solutions from partial to complete damage under rather general conditions.