A numerical method for elastic and viscoelastic dynamic fracture problems in homogeneous and bimaterial systems

We present a summary of recent advances in the development of an efficient numerical scheme to be used in the investigation of a wide range of 2D and 3D dynamic fracture problems. The numerical scheme, which is based on a spectral representation of the boundary integral relations, can be applied to homogeneous and interfacial dynamic fracture problems involving planar cracks and faults of arbitrary shapes buried in elastic and viscoelastic media. Spontaneous propagation of the crack is achieved by combining the elastodynamic integral relations with a stress-based cohesive failure model. The objective of this paper is to present some of the major differences existing between the various formulations within the simpler 2D scalar framework of anti-plane shear (mode III) loading conditions. Examples are presented to illustrate some capabilities of the method.