This paper shows the two calculation method of J Integral in elastic-plastic behavior of central crack in 2-dimensional problem. The analysis of the J integral and the increment of J for a plate with a central crack under cyclic fatigue loadings are carried out by using path integration based on the numerical results of Finite Element (FE) analysis. The J integral is calculated by both elastic analysis and elasto-plastic analysis. The accuracy of numerical results for the increment of J is proved by comparison with the simplified method results. In this study, we also analyzed the J-integral using the virtual crack extension method based on the finite element method. Analysis model is a two-dimensional flat plate with a central crack, and by changing the crack length in the different FE analysis, the fundamental feature of J-integral by the virtual crack extension method under cyclic fatigue analysis is discussed.
J Integral in Elasto-Plasticity by Path Integral Method and Virtual Crack Extension Method in 2-Dimensional Problem
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Chang, K, Ohmura, Y, Watanabe, O, & Matsuda, A. "J Integral in Elasto-Plasticity by Path Integral Method and Virtual Crack Extension Method in 2-Dimensional Problem." Proceedings of the ASME 2013 Pressure Vessels and Piping Conference. Volume 6A: Materials and Fabrication. Paris, France. July 14–18, 2013. V06AT06A013. ASME. https://doi.org/10.1115/PVP2013-97870
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