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Continuumthermodynamic and Variationalmodeling and Simulation of Ductile Failure at Large Deformation with Application to Engineering Structures
Bob Svendsen (1), Frederik Reusch (1), Dietmar Klingbeil (2) | 1. University of Dortmund, Dortmund, Germany | 2. Laboratory V.3., Federal Institute for Materials Reserch and Testing, Berlin, Germany |
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The purpose of this work is the extension of local Gurson-based ductile damage and failure modeling in engineering materials and structures to account for the non-local nature of void coalescence. In particular, the extension pursued here is based on the introduction of an non-local effective damage parameter $\nu$ analogous to that $f_{}^{\ast}$ of Needleman and Tvergaard which is modeled thermodynamically as a scalar-valued continuum microstructural field or generalized phase field via a recent thermodynamic approach. In the simplest case, the resulting field relation for $\nu$ is formally analogous to the inhomogeneous temperature equation. As such, analogous to temperature, $\nu$ represents an additional continuum degree-of-freedom here. And in the complete model, damage and deformation are coupled. Further, the field relation for $\nu$ contains a characteristic length determining the effective dimension of the process zone for void coelescence.
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