PSI - Issue 2_B

Jozef Kšiňan et al. / Procedia Structural Integrity 2 (2016) 197 – 204 Jozef Kší ň an, Roman Vodi č ka / Structural Integrity Procedia 00 (2016) 000–000

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Conslusions A simple 2D numerical model of the fibre-matrix contact has been analysed in order to investigate the process of crack onset and growth in the area of fibre-matrix composite sample subjected to transversal tension load. The influence of the friction has been implemented by the damage dependent friction function which designates the activation of friction with respect to the decreasing interfacial stiffness . The obtained results confirm the certain influence of the friction effect on the fibre-matrix debondig and its evolution. The numerical implementation of spatial discretization via SGBEM enables the whole problem to be defined only by a boundary and interface data. Developed numerical model confirms the models response in accordance with another studies of the fibre-matrix debonding and asses its applicability in the area fibre-reinforced composite materials. Acknowledgements The authors acknowledge the financial support The Ministry of Education, Science, Research and Sport of the Slovak Republic, grants VEGA No. 1/0477/15, 1/0078/16 and 1/0188/16. Correa, E., Mantič, V., París, F., 2008. Numerical characterisation of the fibre-matrix interface crack growth in composites under transverse compression. Engineering Fracture Mechanics 75, 4085–4103. Del Piero, G., Rauos, M., 2010. A unified model for adhesive interfaces with damage, viscosity, and friction. European Journal of Mechanics A/Solids 29, 496–507. Dostál, Z., 2009. Optimal Quadratic Programming Algorithms. Springer, Berlin. Raous, M., 2011. Interface models coupling adhesion and friction. C. R. Mécanique 339, 491-501. Kšiňan, J., Mantič, V. and Vodička, R., 2014. A new interface damage model with frictional contact. An SGBEM formulation and implementation, Advances in Boundary Element and Meshless Techniques XIV, Eastleigh: EC ltd., 60–67. Kšiňan, J., Vodička, R., 2016. An 2-D SGBEM formulation of contact models coupling the interface damage and Coulomb friction in fibre-matrix composites. Engng Fract Mech, in press. Kushch, V.I., Shmegera, S.V., Mishnaevsky L., 2008. Meso cell model of fiber reinforced composite: interface stress statistics and debonding paths. International Journal of Solids and Structures 45, 2758–2784. Mantič, V., 2009. Interface crack onset at a circular cylindrical inclusion under a remote transverse tension. Application of a coupled stress and energy criterion . Int J Solid Struct. 46, 1287–1304. Mantič, V., García, I.G., 2012. Crack onset and growth at the fibre-matrix interface under a remote biaxial transverse load. Application of a coupled stress and energy criterion. Internal Journal of Solids and Structures 49, 2273-2290. Vodička, R., Mantič, V., 2013. An SGBEM implementation with quadratic programming for solving contact problems with Coulomb friction. Advances in Boundary Element Techniques XIV , EC ltd, Eastleigh, pp. 444. Vodička, R., Mantič, V. and Roubíček, T., 2014. Energetic versus maximally-dissipative local solution of a quasi static rate-independent mixed-mode delamination model. Meccanica 49, 2933-2963. Roubíček, T., Kružík, M. and Zeman, J., 2014. Delamination and adhesive contact models and their mathematical analysis and numerical treatment. In “ Mathematical Methods and Models in Composites ”. In: Mantič, V. (Ed.). Imperial College Press, London, 349-400. Távara, L., Mantič, V., Graciani, E. and París, F., 2011. BEM analysis of crack onset and propagation along fiber matrix interface under transverse tension using a linear elastic-brittle interface model. Engineering Analysis with Boundary Elements 35, 207–222. Távara, L., Mantič, V., Graciani, E. and París, F., 2013. BEM modelling of interface cracks in a group of fibres under biaxial transverse loads. Advances in Boundary Element and Meshless Techniques XIV, EC ltd, Eastleigh, pp. 311. Távara, L, Mantič, E., Graciani, E., París, F., 2016. Modelling interfacial debonds in unidirectional fibre-reinforced composites under biaxial transverse loads, Composite Structures 36, 305-312. References