Benchmark for finite element analysis of rupture in the ...

Benchmark for finite element analysis of rupture in
the ductile to brittle transition regime using the local
approach to fracture
C. Berdin , J. Besson , A. Dahl , P. Forget , A. Parrot
C. Poussard , C. Sainte–Catherine , B. Tanguy , N. Verdiere` .
Ecole Centrale de Paris, Laboratoire MSS–MAT, Grande voie des vignes, 92295
Chatenay–Malabryˆ , France
Ecole des Mines de Paris, Centre des Materiaux,´ UMR CNRS 7633, BP 87, 91003 Evry
Cedex, France
EdF les Renardieres Route de Sens - Ecuelles 77250 Moret-sur-Loing, France
CEA
Abstract
....
Key words: ductile to brittle transition, finite element analysis, local approach to fracture.
1 Introduction
[1]
2 Constitutive equations
2.1 Ductile rupture
Two models for ductile rupture are used in this study. The first one is the Gurson
model [2]. This model is based on a rigorous micromechanical analysis and has
been extended by Needleman and Tvergaard [? ] on a more phenomenological basis
(so called GTN model) to account for plastic hardening, nucleation, void interaction
and coalescence. The second model is the Rousselier model [3] which is based on a
thermodynamical approach of damage. Both models use a single damage variable:
the void volume fraction (porosity).
Preprint submitted to Frac. Fat. Engng Mater. Struct. 10 January 2004


































...