A multi-scale rate dependent crack model for quasi-brittle heterogeneous materials

Karamnejad, Amin, Nguyen, Vinh Phu ORCID: https://orcid.org/0000-0003-1212-8311 and Sluys, Lambertus Johannes 2013. A multi-scale rate dependent crack model for quasi-brittle heterogeneous materials. Engineering Facture Mechanics 104 , pp. 96-113. 10.1016/j.engfracmech.2013.03.009

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Abstract

A multi-scale numerical approach for modeling cracking in heterogeneous quasi-brittle materials under dynamic loading is presented. In the model, a discontinuous crack model is used at macro-scale to simulate fracture and a gradient-enhanced damage model has been used at meso-scale to simulate diffuse damage. The traction-separation law for the cohesive zone model at macro-scale is obtained from the meso-scale through the discontinuous computational homogenization method. An implicit time integration is used to solve the dynamic problem at the macro-scale while the meso-scale model is solved as a quasi-static problem. The effect of crack opening rate on the macro cohesive law is taken into account by relating the material properties of the meso-scale model to the macro crack opening rate. The objectivity of the model response with respect to the representative volume element size is demonstrated for wave propagation problems. The model is verified by comparison with a direct numerical simulation.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Dynamic loading; Computational homogenization; Multi-scale cohesive law; Quasi-brittle materials; Representative volume element
Publisher:	Elsevier
ISSN:	0013-7944
Last Modified:	24 Oct 2022 10:46
URI:	https://orca.cardiff.ac.uk/id/eprint/45807

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