Two‐dimensional elastodynamic displacement discontinuity method

A time‐domain elastodynamic displacement discontinuity method is presented for analysing two‐dimensional problems in solid mechanics. Linear, continuous in time and piecewise linear in space interpolation functions are assumed for the displacement discontinuities. Causal and analytical integrations are used throughout. The resulting numerical algorithms are time marching and implicit. The displacement discontinuity method can be used to model a class of traction boundary value problems, where the unknowns are the transient shear and normal discontinuities in displacement across the surface of a mathematical crack in an infinite, isotropic and homogeneous linear elastic medium.