A Cohesive Model with Frictional Effects on Strength and Stiffness under Transverse Compression

Abstract:

Failure develops and propagates through a structure via a complex sequence of competing micro-mechanisms occurring simultaneously. While the active mechanism of surface debonding is the source of loss of stiffness and cohesion, friction between cracked surfaces, upon their closure, acts as a passive dissipation mechanism behind the quasi-brittleness and hence can increase the toughness of the material under favorable loading conditions. In order to numerically study damage propagation, the constitutive response must be able to faithfully capture, both qualitatively and quantitatively, one of the signature characteristic of failure: the energy dissipation. In this paper, we present an interface decohesive model for discrete fracture that is able to capture the apparent enhancement of interfacial properties that is observed when transverse compressive loads are applied. The model allows to seamlessly account for the additional frictional dissipation that occurs when the loading regime involves transverse compression, whether during debonding or after full delamination. This constitutive model is then used to successfully predict the response of realistic engineering structures under generalized loading conditions as demonstrated with the numerical simulation of a fiber push-out test.

• Periodical: Applied Mechanics and Materials (Volume 553)
• Pages: 649-654
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.553.649
• Online since: May 2014
• Authors: Irene Guiamatsia, Giang Dinh Nguyen
• Keywords: Constitutive Model, Coupling, Damage, Delamination, Friction, Interface, Thermodynamic

References

[1] S.J. De Teresa, D.C. Freeman, S.E. Groves, The effects of through-thickness compression on the interlaminar shear response of laminated fiber composites. Journal of Composite Materials, 38 (2004) 681-697.

DOI: 10.1177/0021998304042401

[2] Alfano G., Sacco E., 2006. Combining interface damage and friction in a cohesive zone model. International Journal for Numerical Methods in Engineering, 68: 542 - 582.

DOI: 10.1002/nme.1728

[3] Tvergaard V., 1990. Effect of fibre debonding in a whisker-reinforced metal. Materials Science and Engineering A, 125: 203-213.

DOI: 10.1016/0921-5093(90)90170-8

[4] Chaboche J.L., Girard R., Schaff A., 1997. Numerical analysis of composite systems by using interphase/interface models. Computational Mechanics, 20: 3-11.

DOI: 10.1007/s004660050209

[5] Li X., Hallett S.R., Wisnom M., 2008. Predicting the effect of through-thickness compressive stress on delamination using interface elements. Composites: Part A, 39(2008): 218 -230.

DOI: 10.1016/j.compositesa.2007.11.005

[6] Hou J.P., Petrinic N., Ruiz C., 2001. A delamination criterion for laminated composites under low-velocity impact. Composites Science Technology, 61: 2069 – (2074).

DOI: 10.1016/s0266-3538(01)00128-2

[7] De Moura MFSF, Goncalves JPM, 2004, Modelling the interaction between matrix cracking and delamination in carbon-epoxy laminates under low velocity impact. Composites Science and Technology 64(7-8): 1021-1027.

DOI: 10.1016/j.compscitech.2003.08.008

[8] Raous M., 2011. Interface models coupling adhesion and friction. Compte Rendus Mecanique, 339: 491-501.

DOI: 10.1016/j.crme.2011.05.007

[9] I. Guiamatsia, G.D. Nguyen, A generic approach to constitutive modelling of composite delamination under mixed-mode loading conditions. Composites Science and Technology, 72 (2012) 269-277.

DOI: 10.1016/j.compscitech.2011.11.012

[10] I. Einav, G.T. Houlsby, G.D. Nguyen, Coupled damage and plasticity models derived from energy and dissipation potentials. International Journal of Solids and Structures, 44(7-8) (2007) 2487-2508.

DOI: 10.1016/j.ijsolstr.2006.07.019

[11] I. Guiamatsia, G.D. Nguyen, A thermodynamics-based cohesive model for interface debonding and friction. International Journal of Solids and Structures, in press, http: /dx. doi. org/10. 1016/j. ijsolstr. 2013. 10. 032.

DOI: 10.1016/j.ijsolstr.2013.10.032

[12] ABAQUS, Simulia Inc., 2010. Theory Manual, version 6. 9.

[13] M.L. Benzeggagh, M. Kenane, 1996. Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus. Composites Science and Technology, 56(4): 439-449.

DOI: 10.1016/0266-3538(96)00005-x

[14] G. Lin, P.H. Geubelle, N.R. Sottos, Simulation of fiber debonding with friction in a model composite pushout test. International Journal of Solids and Structures, 38 (2001) 8547 - 8562.

DOI: 10.1016/s0020-7683(01)00085-3