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Interfacial debonds of layered anisotropic materials using a quasi-static interface damage model with Coulomb friction

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Abstract

A new quasi-static and energy based formulation of an interface damage model which includes Coulomb friction at the interface between anisotropic solids is provided. The interface traction-relative displacement response is based on an assumption of a thin adhesive layer whose behaviour is analogous to cohesive zone models. The damaged interface is considered, if exposed to a pressure, as a contact zone where Coulomb friction law is also taken into account. As the contacting solids are generally anisotropic, the friction may exhibit some anisotropic behaviour, too, which is included into the proposed model. The solution of the problem is sought numerically by a semi-implicit time-stepping procedure which uses recursive decoupled double minimisation in displacements and damage variables. The spatial discretisation is based on the symmetric Galerkin boundary-element method of a multidomain problem, where the interface variables are calculated by sequential quadratic programming, being a tool for resolving each partial minimisation in the proposed recursive scheme. Sample numerical examples demonstrate applicability of the described model.

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Authors and Affiliations

  1. Civil Engineering Faculty, Technical University of Košice, Vysokoškolská 9, 042 00, Košice, Slovakia

    Roman Vodička, Eva Kormaníková & Filip Kšiňan

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  1. Roman Vodička
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  2. Eva Kormaníková
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Correspondence to Roman Vodička.

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Authors acknowledge support from the Slovak Ministry of Education by the grants VEGA 1/0078/16 and VEGA 1/0477/15 and from the Slovak Research and Development Agency by the grant APVV-15-0486.

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Vodička, R., Kormaníková, E. & Kšiňan, F. Interfacial debonds of layered anisotropic materials using a quasi-static interface damage model with Coulomb friction. Int J Fract 211, 163–182 (2018). https://doi.org/10.1007/s10704-018-0281-z

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