Development of Nonlinear Numerical Fracture Mechanics Based on Energy Release Rate

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In the present research, the energy release rate is selected as a basic concept to understand the crack propagation problem since it has clear physical meaning. To compute the G-value, full advantage of nonlinear FEM, which considers finite strain plasticity, is taken. Also, FEM introducing an interface element is developed specially for the crack propagation analysis. The proposed method is applied to various problems listed below and its potential usefulness is demonstrated.The interface element models the formation of new surfaces during the crack propagation. Such interface elements are arranged along the crack propagation path so that the analysis of the crack propagating with dissipating the energy equal to the surface energy.(1) Developed programsProgram to compute G-value for axisymmetric elastic large deformation problem.Program to compute G-value for 3-dimensional finite-strain-elastic-plastic problemPrograms for static and dynamic crack propagation using interface element (2-dimensional and 3-dimensional finite-strain-elastic-plastic problems)Programs for static and dynamic crack propagation using interface elementProgram for hot cracking using temperature dependent interface element(2) Investigated problemsDebonding of thin film on substrate accompanying buckling.Effect of Strain Hardening Properties of Material on ToughnessAnalysis of Delamination between bonded platesSteady Ductile Crack Propagation in Center Notched Steel PlateInfluence of inertia force on Charpy Impact TestInfluence of Applied Stress on Speed of Dynamically Propagating Crack in Elastic PlateInfluence of Specimen Geometry and Welding Conditions of Hot Cracking in Weld