Intensity of a Plastic Singular Stress Field at the Notch Tip

抄録

In the present study, the relation between the plastic and the elastic stress intensity factors, K_p and K_e, for various V-shaped notch problems is studied by using the finite element analysis. Detailed results for mode I under plane stress and plane strain conditions are investigated. Based on the numerical results, it is found that there is a one-to-one correspondence between K_p and K_e, even when the load is so large that the condition of the small scale yielding is not satisfied. Also, it is found that the values of K_p^1-λe/K_e^1-λp for various notch problems depend only on the notch opening angle γ and hardening exponent n. This enables one to evaluate the factor K_p for various notch problems without any plastic stress analysis.