Consistent tangent stiffness for local-nonlocal damage modelling of metals

In the present study we consider an adaptation of Nguyen's model [6] for brittle materials to the case of ductile rupture. We focus our attention on the formulation of a consistent tangent stiffness matrix which is essential for the efficiency and convergence of the implementation within a fini...

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Bibliographic Details
Main Authors: Belnoue, J, Nguyen, G, Korsunsky, A
Format: Journal article
Language:English
Published: Elsevier 2009
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Description
Summary:In the present study we consider an adaptation of Nguyen's model [6] for brittle materials to the case of ductile rupture. We focus our attention on the formulation of a consistent tangent stiffness matrix which is essential for the efficiency and convergence of the implementation within a finite element framework. We demonstrate the capability of the model to generate mesh-independent results and to follow the rupture process very close to failure. Rupture analysis of thin plates of different geometry is presented (symmetric double notch-edged specimen, asymmetric double notch-edged specimen, double notch-edged specimen containing a hole). Further modifications are outlined required to simulate crack growth and paths under the conditions of creep and fatigue.