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