SM4L_10865:Mon:1720:231
XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

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


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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