A consistent interface element formulation for geometrical and material nonlinearities
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Decohesion undergoing large displacements takes place in a wide range of applications. In these problems, interface element formulations for large displacements should be used to accurately deal with coupled material and geometrical nonlinearities. The present work proposes a consistent derivation of a new interface element for large deformation analyses. The resulting compact derivation leads to an operational formulation that enables the accommodation of any order of kinematic interpolation and constitutive behavior of the interface. The derived interface element has been implemented into the finite element codes FEAP and ABAQUS by means of user-defined routines. The interplay between geometrical and material nonlinearities is investigated by considering two different constitutive models for the interface (tension cut-off and polynomial cohesive zone models) and small or finite deformation for the continuum. Numerical examples are proposed to assess the mesh independency of the new interface element and to demonstrate the robustness of the formulation. A comparison with experimental results for peeling confirms the predictive capabilities of the formulation.
KeywordsNonlinear fracture mechanics Interface element Cohesive zone model Large displacements
The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007–2013)/ERC Grant Agreement No. 306622 (ERC Starting Grant “Multi-field and multi-scale Computational Approach to Design and Durability of PhotoVoltaic Modules”—CA2PVM; PI: Prof. M. Paggi). JR would like to acknowledge the financial support by the above ERC Starting Grant, supporting his visiting period at IMT Lucca during March–April 2014, and also the German Federal Ministry for Education and Research (BMBF) for supporting the project “Microcracks: Causes and consequences for the long-term stability of PV-modules” (2012–2014).
- 12.Reinoso J, Blázquez A, Estefani A, París F, Cañas J, Arévalo E, Cruz F (2012) Experimental and three-dimensional global-local finite element analysis of a composite component including degradation process at the interfaces. Composites B 43:1929–1942Google Scholar
- 20.Alfano G, Sacco E (2006) Combining interface damage and friction in a cohesive-zone model. Int J Num Methods Eng 68:542–582Google Scholar
- 32.van den Bosch MJ, Schreurs PJG, Geers MGD (2007) A cohesive zone model with a large displacement formulation accounting for interfacial fibrilation. Eur J Mech A 26:1–19Google Scholar
- 35.Zienkiewicz OC, Taylor RL (2000) The finite element method, 5th edn, vol I. Butterworth-Heinemann, Woburn.Google Scholar
- 37.Tvergaard V (1990) Effect of fiber debonding in a whisker-reinforced metal. Mater Sci Eng A 107:23–40Google Scholar