Application of X‐FEM to 3D Real Cracks and Elastic‐Plastic Fatigue Crack Growth - Archive ouverte HAL Access content directly
Conference Papers Year : 2006

Application of X‐FEM to 3D Real Cracks and Elastic‐Plastic Fatigue Crack Growth

Abstract

In a general point of view, X-FEM plus level set representation of the interfaces reveals to be of great interest in the aim to couple experimental data with numerical simulations. This can be highly illustrated in the case of 3D fatigue crack growth simulations where the initial 3D “real crack” is extracted from tomo-graphic images. The experimentally observed fatigue crack propagation is compared to numerical simulations. Good agreement is found when a linear variation of closure stress along the crack front is taken into account in the “3D crack propagation law” used for the simulation. Furthermore, in order to take into account plasticity during fatigue crack growth, one develops an augmented Lagrangian formulation in the X-FEM framework that is able to deal with elastic-plastic crack growth with treatment of contact and friction. Numerical issues such as contact treatment and numerical integration are addressed, and finally numerical examples are shown to validate the method.
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hal-01668817 , version 1 (13-01-2023)

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Anthony Gravouil, Alain Combescure, Thomas Elguedj, Emilie Ferrié, Jean-Yves Buffière, et al.. Application of X‐FEM to 3D Real Cracks and Elastic‐Plastic Fatigue Crack Growth. IUTAM Symposium on Discretization Methods for Evolving Discontinuities, Sep 2007, Lyon, France. pp.213--231, ⟨10.1007/978-1-4020-6530-9_13⟩. ⟨hal-01668817⟩
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