A Spectral Scheme for Fracture Problems at the Interface of a Layer and a Half-plane.
Abstract
This work presents a novel numerical method to study antiplane elastodynamic fracture problems at the interface of an elastic layer and an elastic half-plane. The methodology is based on a spectral representation of the boundary integral equation method (BIEM). The BIEM relates the shear stress and the displacement discontinuity at the interface. Previous studies have considered unbounded domains of the elastic solids surrounding the interface between the solids. This is the first work where a precise numerical scheme for an elastic layer on an elastic half-plane has been developed. The scheme is based on the BIEM and involves evaluation of a space-time convolution of the shear stress at the interface of the layer and half-space. The spatial convolution is performed in the spectral domain, resulting in numerical efficiency. The conversion between the spectral domain and the real domain is done by the Fast Fourier Transform. The convolution kernels are validated through comparison with existing solutions of 2D antiplane elastodynamic problems. The adequacy of the technique is illustrated by simulating 2D antiplane frictional rupture propagation along the interface between a layer and a half-plane. Numerical results demonstrate how different rupture modes of frictional sliding, i.e., crack-like and pulse-like rupture propagation, are selected based on the nature of fault prestress.
- Publication:
-
AGU Fall Meeting Abstracts
- Pub Date:
- December 2022
- Bibcode:
- 2022AGUFM.S24A..01G