Image-based multi-scale modelling strategy for complex and heterogeneous porous microstructures by mesh superposition method

Abstract

This study is focused on the multi-scale modelling strategy for complex and heterogeneous microstructures of real materials by automatic image-based modelling and finite element mesh superposition method. The synergetic application of the conventional asymptotic homogenization method and the authors' mesh superposition method has been proposed to obtain the microscopic responses under high gradient of macroscopic fields at the macroscopic crack tip and/or interface, for instance. For complex and random microstructures, automatic image-based voxel meshing by means of x-ray CT is commonly required; however, it cannot always adapt to the mathematical theory of microscopic modelling in the mesh superposition method. Therefore, a modelling technique for mesh refinement is proposed in this paper using additional elements for insulation in consideration of the theoretical background of the mesh superposition method.In this paper, we provide the modelling procedure and its theoretical consideration of mesh refinement for flexible modelling of real materials. To demonstrate the technique, a numerical example of a porous ceramic component with random microstructure and macroscopic crack is illustrated.

Meso-scale image-based modeling of reinforced concrete and adaptive multi-scale analyses on damage evolution in concrete structures

“…meso-structure model within material is constructed based on image, which can be captured by computerized tomography or electron microscopy [29,30]. First, the obtained meso-graph can be resolved into a grid of pixels shown in Fig.…”

Multiscale stress analysis of trabecular bone around acetabular cup implant by finite element mesh superposition method

“…Whilst in the finite element mesh superposition method, the local model to be superimposed on the global model must be wrapped by the homogenized material model that is used in the global model as shown in Fig. 4(c) (Kawagai, et al, 2006). Note that, in Fig.…”

Multiscale FE method for analysis of bone micro-structures

“…Multiscale finite element analysis is essential for efficient and reliable mechanical analysis of bone structure. Most state-of-the-art multiscale methods utilize multi-step homogenization (Fritsch et al, 2009;Hellmich et al, 2004;Nikolov and Raabe, 2008) or mesh superposition (Kawagai et al, 2006). These methods assume order-of-magnitude scale separation between two consecutive levels of hierarchy.…”