Combined Adaptive Finite Element Method and J-Domain Integral Technique for Crack Problems
An adaptive finite element method for analyzing two-dimensional and axisymmetric nonlinear elastic fracture mechanics problems with cracks is presented. The J-integral is used as a parameter to characterize the severity of stresses and deformation near a crack tip. The domain integral technique is utilized as the J-integral solution scheme with the 9-node degenerated crack tip elements. The solution accuracy is further improved by incorporating an error estimation procedure to a remeshing algorithm with a solution mapping scheme to resume the analysis at a particular load level after the adaptive remeshing technique has been applied. Two benchmark problems are analyzed to evaluate the efficiency of the combined procedure.
N. Ohno and T. Uehara
K. Potjananapasiri et al., "Combined Adaptive Finite Element Method and J-Domain Integral Technique for Crack Problems", Key Engineering Materials, Vols. 340-341, pp. 459-464, 2007