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International Journal of Fracture

, Volume 211, Issue 1–2, pp 61–74 | Cite as

The effect of residual thermal stresses on transverse cracking in cross-ply laminates: an application of the coupled criterion of the finite fracture mechanics

  • I. G. García
  • V. Mantič
  • A. Blázquez
Original Paper
  • 167 Downloads

Abstract

A model to predict transverse cracking in cross-ply laminates in the presence of residual thermal stresses is developed here. This model is based on the coupled criterion of the finite fracture mechanics. This criterion has been successfully used for different materials, structures and scales to predict crack initiation. It is based on two main hypotheses: (i) crack initiation occurs as a finite-length crack onset and (ii) the crack onset requires that both stress and energy criteria are fulfilled simultaneously. The present model is developed under the generalized-plane-strain hypotheses combining the results obtained using the laminate theory and a boundary element code. The present analysis shows that the residual thermal stresses affect both the stress and the energy criteria in the form of adding a residual elastic-strain to the strain imposed by external mechanical loads. An explicit expression for this residual elastic-strain is provided. For certain composite materials as carbon/epoxy the value of this residual elastic-strain is shown to be relatively large in comparison with the nominal critical transverse strain of the material. The comparison with experiments shows that considering the residual thermal stresses using the strategy proposed here improves drastically the accuracy of the model predictions.

Keywords

Transverse cracking Coupled criterion Residual thermal stresses Finite fracture mechanics 

Notes

Acknowledgements

The authors are indebted to Professor Federico París (University of Seville) for inspiring discussions. This investigation was supported by the Spanish Ministry of Education (FPU Grant 2009/3968), the Spanish Ministry of Science and Innovation (Project MAT2009-14022), the Spanish Ministry of Economy and Competitiveness and European Regional Development Fund (Projects MAT2012-37387 and MAT2015-71036-P), the Junta de Andalucía and the European Social Fund (Project P08-TEP-4051).

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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Grupo de Elasticidad y Resistencia de Materiales, Escuela Técnica Superior de IngenieríaUniversidad de SevillaSevillaSpain

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