Journal
COMPUTATIONAL MECHANICS
Volume 66, Issue 6, Pages 1427-1441Publisher
SPRINGER
DOI: 10.1007/s00466-020-01909-y
Keywords
Heterogeneous materials; Finite element method; MultiGrid; Homogenization; Mechanical behavior; Tomography images
Funding
- Region Pays de la Loire and Nantes Metropole through a Grant Connect Talent IDS
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X-ray tomography techniques give researchers the full access to material inner structures. With such ample information, employing numerical simulation on real material images becomes more and more common. Material behavior, especially, of heterogeneous materials, e.g. polycrystalline, composite, can be observed at the microscopic scale with the computed tomography (CT) techniques. In this work, an efficient strategy is proposed to carry out simulations on large 3D CT images. A proposed matrix free type finite element based MultiGrid method is applied to improve convergence speed and to reduce memory space requirements. Homogenization techniques are used to obtain specific operators to enhance the convergence of the MultiGrid method when large material property variations are present. Hybrid parallel computing is implemented for memory space and computing time reasons. Free edge effects in a laminate composite with more than 16 billion degrees of freedom and crack opening in a cast iron are studied using the proposed strategy.
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