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Title: Partition of mixed-mode fractures in 2D elastic orthotropic laminated beams under general loading
Authors: Wood, Joseph D.
Harvey, Christopher M.
Wang, Simon
Keywords: Energy release rate
Fracture mode partitioning
Orthotropic laminated composites
Mixed-mode fracture
Orthogonal pure modes
Shear forces
Issue Date: 2016
Publisher: © Elsevier
Citation: WOOD, J., HARVEY, C. and WANG, S., 2016. Partition of mixed-mode fractures in 2D elastic orthotropic laminated beams under general loading. Composite Structures, 149, pp. 239–246.
Abstract: An analytical method for partitioning mixed-mode fractures on rigid interfaces in orthotropic laminated double cantilever beams (DCBs) under through-thickness shear forces, in addition to bending moments and axial forces, is developed by extending recent work by the authors (Harvey et al., 2014). First, two pure through-thickness-shear-force modes (one pure mode I and one pure mode II) are discovered by extending the authors’ mixed-mode partition theory for Timoshenko beams. Partition of mixed-mode fractures under pure through-thickness shear forces is then achieved by using these two pure modes in conjunction with two thickness ratio-dependent correction factors: (1) a shear correction factor, and (2) a pure-mode-II energy release rate (ERR) correction factor. Both correction factors closely follow an elegant normal distribution around a symmetric DCB geometry. The principle of orthogonality between all pure mode I and all pure mode II fracture modes is then used to complete the mixed-mode fracture partition theory for a general loading condition, including bending moments, axial forces, and through-thickness shear forces. Excellent agreement is observed between the present analytical partition theory and numerical results from finite element method (FEM) simulations.
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.2016.04.016
Version: Accepted for publication
DOI: 10.1016/j.compstruct.2016.04.016
URI: https://dspace.lboro.ac.uk/2134/21038
Publisher Link: http://dx.doi.org/10.1016/j.compstruct.2016.04.016
ISSN: 0263-8223
Appears in Collections:Published Articles (Aeronautical and Automotive Engineering)

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