Jh. Chang et Cb. Chen, CALCULATION OF ELASTODYNAMIC ENERGY PARAMETER FOR PLANE CRACK PRIOR TO KINKING, Journal of engineering mechanics, 124(3), 1998, pp. 268-276
A numerical procedure, incorporated with the finite element solutions,
is developed to evaluate the J(k)-integrals associated with crack kin
king for a stationary crack in two-dimensional anisotropic elastic sol
ids under dynamic loading conditions. In this paper, the formulation i
s shown analytically to be corresponding with the dynamic energy param
eter and is clearly applied as a fracture criterion just before kinkin
g takes place. The approach is verified to be path-independent in a mo
dified sense. Special attention is also addressed to the simulation fo
r the portions of integration around the near-tip region so that accur
ate solution is achieved without using any particular singular element
. With the maximum energy release criterion, the predicted kink angle
extracted from the transient numerical fields under steady loading con
dition is found to be inherently invariant, associated with each peak
value of the energy parameter, and appears to be very close to that in
the static case.