An optimized predictor–corrector scheme for fast 3D crack growth simulations |
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| Authors: | W Weber G Kuhn |
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| Affiliation: | 1. LaMSID – Laboratoire de Mécanique des Structures Industrielles Durables (EDF/CNRS/CEA), Clamart, France;2. Département AMA – EDF R&D, Clamart, France;3. Laboratoire de Mécanique des Solides, Ecole Polytechnique, Palaiseau, France;1. Institut des NanoSciences de Paris, UMR 7588, 4 Place Jussieu, 75005 Paris, France;2. Sorbonne Universités, UPMC Univ Paris 06, UMR 7574, Chimie de la Matière Condensée de Paris, F-75005, Paris, France;3. Université Paris Diderot, 5 rue Thomas-Mann, 75013 Paris, France |
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| Abstract: | An optimized predictor–corrector scheme for the accelerated simulation of 3D fatigue crack growth is presented. Based on experimental evidence, it is assumed that the crack front shape ensures a constant energy release rate. Starting from a crack front satisfying this requirement a predictor step is performed. Usually, the new crack front does not fulfill the requirement of a constant energy release rate. Therefore, several corrector steps are needed. Within the new predictor–corrector scheme the history of crack growth is taken into account to reduce the number of corrector steps. The efficiency of the new scheme is shown on two numerical examples providing a speed up of a factor above three. |
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