Evaluation of Stress Intensity Factor and J-Integral for Surface-Cracked Plate

On the combination of the boundary element method and the line-spring model

“…Although various fracture mechanics parameters have been proposed, the stress intensity factor is still utilized to predict the failure of structures due to brittle ~racture and fatigue.Various techniques are used to obtain the stress intensity factors of cracks in 3-D structures.Among them, the line-spring method devised by Rice and Levy [i] is one of the approximate approaches to obtaining the stress intensity factors of cracks in 3-D structures.It has been incorporated into finite element programs and 3-D problems of crack have been solved by 2-D analysis using the finite element method combined with the line-spring model (line-spring finite element method) [2,3]. Although various fracture mechanics parameters have been proposed, the stress intensity factor is still utilized to predict the failure of structures due to brittle ~racture and fatigue.…”

“…It has been incorporated into finite element programs and 3-D problems of crack have been solved by 2-D analysis using the finite element method combined with the line-spring model (line-spring finite element method) [2,3]. An attempt to incorporate the line-spring model into the boundary element method, which is one of the powerful tools for a numerical stress analysis as well as the finite element method, is given in this paper to analyze the stress intensity factors of cracks in 3-D structures.…”

“…Next, let us introduce the boundary conditions into (2). Next, let us introduce the boundary conditions into (2).…”