Computational homogenization for adhesive and cohesive failure in quasi-brittle solids

Verhoosel, C.V., Remmers, J.J.C., Gutiérrez, M.A. and De Borst, R. (2010) Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. International Journal for Numerical Methods in Engineering, 83(8-9), pp. 1155-1179. (doi: 10.1002/nme.2854)

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Abstract

A computational multiscale framework is proposed that incorporates microstructural behaviour in a macroscale discrete fracture model. Homogenization procedures are derived for both adhesive and cohesive failure on the macroscale and are implemented in an FE<sup>2</sup>-setting. The most important feature of the homogenization procedure is that it implicitly defines a traction-opening relation for the macroscale fracture model. The representativeness of the micro models is studied using a one-dimensional example, which shows that in the softening regime the proposed multiscale scheme behaves different from a bulk homogenization scheme. These results are also observed in a numerical simulation for a micro model with a periodic microstructure. Numerical simulations further demonstrate the applicability of the method.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:De Borst, Professor Rene
Authors: Verhoosel, C.V., Remmers, J.J.C., Gutiérrez, M.A., and De Borst, R.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal for Numerical Methods in Engineering
ISSN:0029-5981
ISSN (Online):1097-0207
Published Online:10 March 2010

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