Computational homogenization for multiscale crack modeling. Implementational and computational aspects

Nguyen, Vinh Phu ORCID: https://orcid.org/0000-0003-1212-8311, Lloberas-Valls, Oriol, Stroeven, Martijn and Sluys, Lambertus Johannes 2012. Computational homogenization for multiscale crack modeling. Implementational and computational aspects. International Journal for Numerical Methods in Engineering 89 (2) , pp. 192-226. 10.1002/nme.3237

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Abstract

A computational homogenization procedure for cohesive and adhesive crack modeling of materials with a heterogeneous microstructure has been recently presented in Computer Methods in Applied Mechanics and Engineering (2010, DOI:10.1016/j.cma.2010.10.013). The macroscopic material properties of the cohesive cracks are obtained from the inelastic deformation manifested in a localization band (modeled with a continuum damage theory) at the microscopic scale. The macroscopic behavior of the adhesive crack is derived from the response of a microscale sample representing the microstructure inside the adhesive crack. In this manuscript, we extend the theory presented in Computer Methods in Applied Mechanics and Engineering (2010, DOI:10.1016/j.cma.2010.10.013) with implementation details, solutions for cyclic loading, crack propagation, numerical analysis of the convergence characteristics of the multiscale method, and treatment of macroscopic snapback in a multiscale simulation. Numerical examples including crack growth simulations with extended finite elements are given to demonstrate the performance of the 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;computational homogenization; cohesive law; fracture; XFEM; interface elements
Publisher:	Wiley-Blackwell
ISSN:	0029-5981
Last Modified:	24 Oct 2022 10:46
URI:	https://orca.cardiff.ac.uk/id/eprint/45802

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