Sensitivity analysis of stress intensity factors by generalized J-integrals

This paper begins with the weak solution of the crack problem, the weight function representation of SIF, GJ-integral technique and finish with the shape sensitivity analysis of SIF. The GJ-integral J_#omega#(u; #vector#X) is the sum of the P-integral (line integral) P_#omega#(u, #vector#X) and the R-integral (area integral) R_#omega#(u, #vector#X). With the help of the GJ-integral technique we derive an R-integral expression for the shape derivative of the potential energy which is valid for all displacement fields u element of H"1. The basic property of the GJ-integral is to vanish for all regular fields u element of H"2. Using this property, we convert the R-integral expression for the shape derivative to a P-integral expression. (orig.)SIGLEAvailable from TIB Hannover: RR 6943(96/20) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman