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

Nguyen, Vinh Phu ORCID: https://orcid.org/0000-0003-1212-8311, 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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Abstract

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:	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:	24 Oct 2022 10:46
URI:	https://orca.cardiff.ac.uk/id/eprint/45803

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