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

Nguyen, Vinh Phu, Lloberas-Valls, Oriol, Stroeven, Martijn and Sluys, Lambertus Johannes 2011. Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks. Computer Methods in Applied Mechanics and Engineering 200 (9-12) , pp. 1220-1236. 10.1016/j.cma.2010.10.013

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: Representative volume element (RVE); Quasi-brittle materials; Softening; Multiscale; Homogenization; Cohesive law
Publisher: Elsevier
ISSN: 0045-7825
Last Modified: 21 Oct 2016 03:28

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