Computational Mechanics

, Volume 54, Issue 6, pp 1569–1581 | Cite as

A consistent interface element formulation for geometrical and material nonlinearities

  • J. Reinoso
  • M. Paggi
Original Paper


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.


Nonlinear 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).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.IMT Institute for Advanced Studies LuccaLuccaItaly
  2. 2.Institute of Structural AnalysisLeibniz Universität HannoverHannoverGermany
  3. 3.Group of Elasticity and Strength of Materials, School of EngineeringUniversity of SevilleSevilleSpain

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