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In this paper, a nonlinear line-spring model with new plastic constitutive relations for the line-spring is presented based on the fully plastic solutions of the single-edge cracked strip subjected to pure tension and pure bending. Numerical solutions of J-integral which characterizes the amplitude of the HRR singularity field, are then calculated for a number of surface cracked plates. The numerical analysis shows that the agreement between the finite-element method and the line-spring model is remarkable. Besides, studied are the influences of the crack size and plastic work hardening exponent on the J values.

An Engineering Approach for Elastic-Plastic J-Integral of Surface Cracks in Plates Using the Nonlinear Line-Spring Model