251. A finite strain, finite band method for modeling ductile fracture
- Author
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Alan Needleman, Pablo J. Sánchez, Alfredo Edmundo Huespe, Javier Oliver, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria, and Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
- Subjects
Length scale ,Finite element methods ,Engineering, Civil ,Materials science ,Constitutive equation ,Engineering, Multidisciplinary ,Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] ,INGENIERÍAS Y TECNOLOGÍAS ,Plasticity ,Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] ,Regularization ,General Materials Science ,Engineering, Ocean ,Engineering, Aerospace ,Engineering, Biomedical ,Fracture mechanics--Mathematical models ,business.industry ,Mechanical Engineering ,Mathematical analysis ,Structural engineering ,Mixed finite element method ,Computer Science, Software Engineering ,Finite strain plasticity ,Mecànica de fractura -- Models matemàtics ,Finite element method ,Engineering, Marine ,Ductile fracture modeling ,Engineering, Manufacturing ,Engineering, Mechanical ,Embedded weak discontinuities ,Ingeniería Civil ,Mechanics of Materials ,Finite strain theory ,Free surface ,Engineering, Industrial ,business ,Finite thickness - Abstract
We present a finite deformation generalization of the finite thickness embedded discontinuity formulation presented in our previous paper [A.E. Huespe, A. Needleman, J. Oliver, P.J. Sánchez, A finite thickness band method for ductile fracture analysis, Int. J. Plasticity 25 (2009) 2349-2365]. In this framework the transition from a weak discontinuity to a strong discontinuity can occur using a single constitutive relation which is of importance in a range of applications, in particular ductile fracture, where localization typically precedes the creation of new free surface. An embedded weak discontinuity is introduced when the loss of ellipticity condition is met. The resulting localized deformation band is given a specified thickness which introduces a length scale thus providing a regularization of the post-localization response. The methodology is illustrated through several example problems emphasizing finite deformation effects including the development of a cup-cone failure in round bar tension. Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico Para la Industria Química; Argentina Fil: Needleman, A.. University Of North Texas; Estados Unidos Fil: Oliver, J.. Technical University of Catalonia; España Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico Para la Industria Química; Argentina
- Published
- 2012