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Title: Effect of Poisson’s ratio mismatch on brittle interfacial cracking between two dissimilar elastic layers
Authors: Wood, Joseph D.
Harvey, Christopher M.
Wang, Simon
Keywords: Bimaterials
Elastic modulus mismatch
Energy release rate
Interfacial fracture
Poisson’s ratio mismatch
Stress intensity factors
Issue Date: 2016
Publisher: © Elsevier
Citation: WOOD, J.D., HARVEY, C.M. and WANG, S., 2016. Effect of Poisson’s ratio mismatch on brittle interfacial cracking between two dissimilar elastic layers. Composite Structures, 158, pp. 56-63.
Abstract: Previous work by the authors (Harvey et al., 2015) on brittle interfacial cracking between two dissimilar elastic layers is extended to accommodate Poisson’s ratio mismatch in addition to the existing capability for elastic modulus mismatch. Under crack tip bending moments and axial forces, it is now possible to use a completely analytical 2D elasticity-based theory to calculate the complex stress intensity factor (SIF) and the crack extension size-dependent energy release rates (ERRs). To achieve this, it is noted that for a given geometry and loading condition, the total ERR and bimaterial mismatch coefficient are the two main factors affecting the partitions of ERR. Based on this, equivalent material properties are derived for each layer, namely, an equivalent elastic modulus and an equivalent Poisson’s ratio, such that both the total ERR and the bimaterial mismatch coefficient are maintained in an alternative equivalent case. Cases for which no analytical solution for the SIFs and ERRs currently exist can therefore be ‘transformed’ into cases for which the analytical solution does exist. The approach is verified against results from 2D finite element method simulations in which excellent agreement is observed for cases of plane stress and plane strain with a variety of loading conditions.
Description: This paper was accepted for publication in the journal Composite Structures and the definitive published version is available at http://dx.doi.org/10.1016/j.compstruct.2016.09.024.
Version: Accepted for publication
DOI: 10.1016/j.compstruct.2016.09.024
URI: https://dspace.lboro.ac.uk/2134/22616
Publisher Link: http://dx.doi.org/10.1016/j.compstruct.2016.09.024
ISSN: 0263-8223
Appears in Collections:Published Articles (Aeronautical and Automotive Engineering)

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