Modelling of stiffness degradation due to cracking in laminates subjected to multi-axial loading

M. Kashtalyan, C. Soutis

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The paper presents an analytical approach to predicting the effect of intra- and interlaminar cracking on residual stiffness properties of the laminate, which can be used in the post-initial failure analysis, taking full account of damage mode interaction. The approach is based on a two-dimensional shear lag stress analysis and the equivalent constraint model of the laminate with multiple damaged plies. The application of the approach to predicting degraded stiffness properties of multidirectional laminates under multi-axial loading is demonstrated on cross-ply glass/epoxy and carbon/epoxy laminates with transverse and longitudinal matrix cracks and crack-induced transverse and longitudinal delaminations.

This article is part of the themed issue ‘Multiscale modelling of the structural integrity of composite materials’.
Original languageEnglish
Article number20160017
Pages (from-to)1-16
Number of pages16
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences
Issue number2071
Early online date30 May 2016
Publication statusPublished - 13 Jul 2016

Bibliographical note

Financial support of this research by the Engineering and Physical Sciences Research Council (EPSRC/GR/L51348) and the British Ministry of Defence is gratefully acknowledged.


  • polymer-matrix composites
  • fibre-reinforced composites
  • composite laminates
  • matrix cracking
  • delamination


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