Harvey_2DMMP_PoissonRatioMismatch_FinalRepository.pdf (1.67 MB)
Effect of Poisson’s ratio mismatch on brittle interfacial cracking between two dissimilar elastic layers
journal contribution
posted on 2016-09-30, 08:59 authored by Joseph D. Wood, Christopher HarveyChristopher Harvey, Simon WangSimon WangPrevious 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.
History
School
- Aeronautical, Automotive, Chemical and Materials Engineering
Department
- Aeronautical and Automotive Engineering
Published in
Composite StructuresVolume
158Pages
56 - 63Citation
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.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2016-09-13Publication date
2016-09-13Copyright date
2016Notes
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.ISSN
0263-8223eISSN
1879-1085Publisher version
Language
- en