On three-dimensional J-integral for finite deformation problems with continuous and discontinuous spatially mechanical property variations

Abstract

In welded joints, which are widely used in various applications, the mechanical properties of material change discontinuously due to the effects of temperature history and weld between dissimilar materials. Therefore, it is necessary to develop a method for evaluating fracture mechanics parameter for structure with discontinuous changes in mechanical properties. One of the fracture mechanics parameters to evaluate crack propagation is the J-integral. The objective of this study is to establish an accurate mechanical strength evaluation method for problems with discontinuous changes in mechanical properties. For this purpose, we propose a three-dimensional J-integral which is applicable to large-deformation elastic-plastic problems that allow continuous and discontinuous changes of mechanical properties.