Numerical analysis of dynamic debonding under 2D in-plane and 3D loading

We present a numerical scheme specially developed for 2D and 3D dynamic debonding problems. The method, referred to as spectral scheme, allows for a precise modeling of stationary and/or spontaneously expanding interfacial cracks of arbitrary shapes and subjected to an arbitrary combination of time- and space-dependent loading conditions. It is based on a spectral representation of the elastodynamic relations existing between the displacement components along the interface plane and the corresponding dynamic stresses. A general stress-based cohesive failure model is introduced to model the spontaneous progressive failure of the interface. The numerical scheme also allows for the introduction of a wide range of contact relations to model the possible interactions between the fracture surfaces. Simple 2D problems are used to investigate the accuracy and stability of the proposed scheme. Then, the spectral method is used in various 2D and 3D interfacial fracture problems, with special emphasis on the issue of the limiting speed for a spontaneously propagating debonding crack in the presence of frictional contact.