Homogenization-based multiscale crack modelling: from micro diffusive damage to macro cracks

By Vinh Phu Nguyen, Oriol Lloberas-Valls, Martijn Stroeven, Lambertus J. Sluys. 2011

183 citations recorded by the source corpus.

The existence of a representative volume element (RVE) for a class of quasi-brittle materials having a random heterogeneous microstructure in tensile, shear and mixed mode loading is demonstrated by deriving traction–separation relations, which are objective with respect to RVE size. A computational homogenization based multiscale crack modelling framework, implemented in an FE2 setting, for quasi-brittle solids with complex random microstructure is presented. The objectivity of the macroscopic response to the micro-sample size is shown by numerical simulations. Therefore, a homogenization scheme, which is objective with respect to macroscopic discretization and microscopic sample size, is devised. Numerical examples including a comparison with direct numerical simulation are given to demonstrate the performance of the proposed method.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b8257f8536e210b05bc07a60db78eba454fd0107

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In Mechanics of Materials

Citations in the corpus

Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, methodology): “In [87] this approach was extended to include RVEs with a gradient-enhanced regularized damage material model (see also [85,86,88]).”
Lattice Element Models and Their Peculiarities (2017, methodology): “Another widely published approach to numerically deal with materials which undergo strain localization and softening with pathological dependence on the refinement of the grid is multi-scale modelling [39].”