The J-area integral applied in peridynamics

Abstract The J -integral is in its original formulation expressed as a contour integral. was, however, found cumbersome early on to apply the finite element analysis, for which method more directly applicable -area integral was later developed. In previous study, we -contour function of displacements only, make peridynamics (Stenström and Eriksson Int Fract 216:173–183, 2019). this article extend work include by deriving it obtain alternative calculating well. properties area are then compared with those formulation, using an exact analytical solution infinite plate central crack Mode I loading. results show that less sensitive local disturbances counterpart. However, peridynamic implementation straightforward similar scope both formulations. addition, discretization, effects boundaries, surfaces other integration corners considered.