Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks
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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.
CitationNguyen, V., Lloberas-Valls, O., Stroeven, M., Sluys, L. Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks. "Computer methods in applied mechanics and engineering", Febrer 2011, vol. 200, núm. 9-12, p. 1220-1236.