Abstract
For clarifying fracture strength and estimating structural integrity, a simple procedure has been developed to evaluate the stress intensity factors for some cracked structures in our recent studies. This procedure is the application of a matrix method to the analysis of cracked structures, as in the analysis of statically indeterminate structures based on the energy principle. In this paper, the above procedure is extended to nonlinear elastic structures using the fact that the complementary energy of cracked members can be easily calculated using fully plastic solutions. Therefore, it is shown that this procedure enables us to easily carry out some parametric studies systematically without full numerical calculation as in finite-element analysis. Furthermore, this procedure is applied to the evaluation of the J-integral for one or more axial cracks in circular cylinders, where matrix formulation is shown to be useful for both computer-aided calculation and the discussion on some influential parameters: such as external forces, diameter ratios, relative crack depths, and the number of cracks.
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