Static Modeling of the Delamination of a Composite Material Laminate in Mode II

Authors: Y. Madani, H. Achache, B. Boutabout

Abstract:

The purpose of this paper is to analyze numerically by the three-dimensional finite element method, using ABAQUS calculation code, the mechanical behavior of a unidirectional and multidirectional delaminated stratified composite under mechanical loading in Mode II. This study consists of the determination of the energy release rate G in mode II as well as the distribution of equivalent von Mises stresses along the damaged zone by varying several parameters such as the applied load and the delamination length. It allowed us to deduce that the high energy release rate favors delamination at the free edges of a stratified plate subjected to bending.

Keywords: Delamination, energy release rate, finite element method, stratified composite.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.2021819

References:

[1] Engrand D., A Boundary Layer Approach to the Calculation of Transverse Stresses along the Free Edges of a Symmetric Laminated Plate of Arbitrary Width under in Plane Loading, Composite Structures, (1981) 247-261.
[2] Dumontet H., Study of a Boundary Layer Problem in Elastic Composite Materials, M2AN, 20 (1986) 265-286.
[3] BAR-YOSEPH P., On the Accuracy of Interlaminar Stress Calculation in Laminated Plates, Comp. Meth. in Applied Mech. and Eng., 36 (1983) 309-329.
[4] O'Brien T. K., "Interlaminar fracture toughness: the long and winding road to standardization", Composite part B: Engineering, vol 29, pp. 57-62, 1998.
[5] Davies P., Sims G. D., Blackman B. R. K., Brunner A. J., Kageyama K., Hojo M., Tanaka K., Murri G., Rousseau C., Gieseke B. & Martin R. H., "comparison of test configurations for determination of mode II interlaminar fracture toughness results from international collaborative test programme", Plastics, rubber and composites, vol. 28, pp. 432-437, 1999.
[6] Williams J. G., "Fracture mechanics of anisotropic materials", dans: "Application of fracture mechanics to composite materials", Ed. par K. Friedrich, Amsterdam, Pay-Bas, Elsevier Science Publishers B. V., pp. 3-38, ISBN 0444872868, 1989.
[7] Gong X. J., "Rupture interlaminaire en mode mixte I+II du composite stratifié verre/époxy unidirectionnel et multidirectionnel", thèse: mécanique appliquée, acoustique, et matériaux. Compiègne: Université de technologie de Compiègne, N0 D 459, 1992.
[8] American society for testing and materials, "Standard test method for mode I interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composite", Pennsylvanie, USA: ASTM International, N0 D 5528-94a, p 10, 1994.
[9] M. Kenane & M. L. Benzeggagh, mixed mode delamination fracture toughness of unidirectional Glass/Epoxy composites under fatigue loading.
[10] D. Benzerga, A. Haddi, A. Seddak, A. Lavie, A mixed-mode damage model for delamination growth applied to a new woven composite. Computational materials science 14(2008)515-525.
[11] J. Bonhomme, A. Argüelles, J. Viña, I. Viña, Numerical and experimental validation of computational models for mode I composite fracture failure, computational materials science (2009).
[12] Kim R. Y. & Soni S. R., Experimental and Analytical Studies on the Onset of Delamination in Laminated Composites, Journal of Composite Materials, 18 (1984) 70-76.
[13] Mathews, M. J. & Swanson, S. R. « Characterization of the interlaminar fracture toughness of a laminated carbon/epoxy composite. » Composites science and technology, 2007, vol. 67, p. 1489-1498.
[14] Bent F. Sørensen, Torben K. Jacobsen, Characterizing delamination of fibre composites by mixed mode cohesive laws, Composites Science and Technology 69 (2009) 445–456.
[15] Blackman B. R. K., Brunner A. J. & Davies P., "Delamination fracture of continuous fibres composites: mixed-mode fracture", dans "Fracture mechanics testing methods for polymers, adhesives, and composites" Ed. Par D. R. Moore, A. Pavan & J. G. Williams, Oxford, Royaume-Uni, Elsevier Science Ltd, pp. 335-359, 2001.
[16] Brunner A. J., Blackman B. R. K. & Davies P., "Mode I delamination", dans: "Fracture mechanics testing methods for polymers, adhesives, and composites", Ed. par D. R. Moore, A. Pavan& J. G. Williams, Oxford, Royaume-Uni: Elsevier Science Ltd, pp. 277-305, 2001.
[17] Achache H., Madani Y. and Benzerdjeb A.; ”Effect of mechanical loading on the delamination of stratified composite in mode I”International Journal of Mechanical and Mechatronics Engineering, Vol. 10 N°2 (2016), 260-264.
[18] Product Dassault Systèmes Simulia Corp, ABAQUS Standard Version 6.10, Providence, RI, USA. 2010.