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  • Softening is one of the destabilizing factors that can induce localization of dissipative processes into narrow bands. Within the framework of the standard continuum with local action, the description of localized failure suffers by serious theoretical deficiencies, which result into pathological sensitivity of the numerical solution to the discretization parameters. Objectivity of the description can be restored e.g. by incorporation of displacement discontinuities, or by nonlocal formulations of different kinds. A simple remedy, frequently used in practical applications, is based on an appropriate adjustment of the constitutive law depending on the width of the numerically resolved localized band, which is closely related to the finite element size. In the present contribution, the role of various components of a material model based on the crack band approach are discussed and several potential sources of error are revealed and analyzed. Attention is focused on isotropic damage models. The factors influencing the energy dissipated in the failure process include the shape of the failure envelope, the technique used for rescaling of the stress-strain diagram, the element type, the order of the displacement approximation, the alignment of the crack band with the finite element mesh, the integration scheme, and the formula for estimation of the crack band width.
  • Softening is one of the destabilizing factors that can induce localization of dissipative processes into narrow bands. Within the framework of the standard continuum with local action, the description of localized failure suffers by serious theoretical deficiencies, which result into pathological sensitivity of the numerical solution to the discretization parameters. Objectivity of the description can be restored e.g. by incorporation of displacement discontinuities, or by nonlocal formulations of different kinds. A simple remedy, frequently used in practical applications, is based on an appropriate adjustment of the constitutive law depending on the width of the numerically resolved localized band, which is closely related to the finite element size. In the present contribution, the role of various components of a material model based on the crack band approach are discussed and several potential sources of error are revealed and analyzed. Attention is focused on isotropic damage models. The factors influencing the energy dissipated in the failure process include the shape of the failure envelope, the technique used for rescaling of the stress-strain diagram, the element type, the order of the displacement approximation, the alignment of the crack band with the finite element mesh, the integration scheme, and the formula for estimation of the crack band width. (en)
Title
  • Modeling of Localized Damage Using the Crack Band Approach
  • Modeling of Localized Damage Using the Crack Band Approach (en)
skos:prefLabel
  • Modeling of Localized Damage Using the Crack Band Approach
  • Modeling of Localized Damage Using the Crack Band Approach (en)
skos:notation
  • RIV/68407700:21110/12:00200405!RIV13-GA0-21110___
http://linked.open...avai/riv/aktivita
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  • P(GAP108/11/1243)
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  • 151022
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  • RIV/68407700:21110/12:00200405
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  • softening; cracking; damage; localization; dissipation; fracture energy; crack band (en)
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  • [4DFD21F8D137]
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  • Vídeň
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  • Vienna
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  • Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering
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  • Jirásek, Milan
  • Bauer, M.
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number of pages
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  • Vienna University of Technology
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  • 978-3-9502481-9-7
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  • 21110
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