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The nonlinear crack analysis of bending-type specimens has been needed to evaluate the J integral values or T-modulus of the flawed structure made of ductile materials. In the present paper, the eigenmodes of Hutchinson-Rice-Rosengren (HRR) singularity at the nonlinear crack tip are obtained numerically by finite element eigenfunction analysis of the stress function model. Superposing the singularity functions thus obtained on the finite element displacement, several nonlinear fracture parameters are calculated taking into account the validity of uniform reduced integration in the bending-type problems. For the numerical examples, we use the single-edge-cracked panel and the compact tension specimen. Comparisons are made between the present study and other relevant results.
crack analysis, fracture mechanics, power-hardening material, Hutchinson-Rice-Rosengren (HRR) singularity, superposition method, penalty function, reduced integration, bending-type specimen, numerical eigenfunction analysis, J, -integral value, crack opening displacement, residual load-point displacement
College of Arts and Sciences, University of Tokyo, Tokyo,
Faculty of Engineering, University of Tokyo, Tokyo,