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Phase‐field modelling of cohesive interface failure

René de Borst, Lin Chen

2023International Journal for Numerical Methods in Engineering10 citationsDOIOpen Access PDF

Abstract

Abstract A cohesive interface model is proposed in the framework of the phase‐field approach. The discrete interface is transformed into a smeared interface by a regularisation strategy. Nevertheless, the fracture energy is made dependent on the displacement jump, which is approximated by a first‐order Taylor expansion of the displacement at the interface. Its value relies on a proper choice of the distance parameter from the interface. We have derived an optimal distance parameter from the analytical solution of a uniaxial tension problem. The accuracy of the approach for cohesive interface modelling is validated in a one‐dimensional numerical test and is demonstrated by two examples, including a ‘H’‐shaped plate and a fibre embedded in an epoxy matrix, featuring straight and curved interfaces.

Topics & Concepts

Interface (matter)JumpDisplacement (psychology)Cohesive zone modelDisplacement fieldFracture (geology)Tension (geology)Field (mathematics)Phase (matter)MechanicsMaterials scienceStructural engineeringMathematicsFinite element methodEngineeringPhysicsComposite materialWettingUltimate tensile strengthPure mathematicsPsychotherapistPsychologyQuantum mechanicsSessile drop techniqueNumerical methods in engineeringComposite Material MechanicsAdvanced Numerical Methods in Computational Mathematics