In the present study, a new method for calculation of notch-root stress and strain is proposed. This novel method couples Neuber’s rule and incremental ESED method. A numerical procedure for solving the equation is presented. Also, the advantages and disadvantages of the numerical procedure are discussed. The coupling method is simple, and its accompanying numerical solution is easy to handle and straightforward. The proposed method is based on the total strain energy density, and strain energy density increment of the actual and elastic problem. Three cases of monotonic uniaxial loading in isotropic homogeneous plates with different material properties, namely nonlinear hardening obeying Ramberg–Osgood behavior, bilinear behavior, and elastic-perfectly plastic behavior, are investigated. The results show that, up to general yielding, the present method offers better accuracy compared to the previous methods. It is also observed that for the particular case of linear hardening, the difference of calculated stress and strain at the notch-root, compared to FEM, is less than 1%.

在本研究中，提出了一种计算缺口根应力和应变的新方法。这种新颖的方法结合了诺伯规则和增量式ESED方法。给出了求解方程的数值程序。此外，还讨论了数值过程的优缺点。耦合方法简单，并且其附带的数值解易于操作和直接。该方法基于总应变能密度，以及实际和弹性问题的应变能密度增量。研究了具有不同材料特性的各向同性均质板中单调单轴载荷的三种情况，即服从Ramberg–Osgood行为的非线性硬化，双线性行为以及弹性完全塑性行为。结果表明，直到一般产量，与以前的方法相比，本方法提供了更好的精度。还可以观察到，对于线性硬化的特殊情况，与有限元法相比，缺口根部的计算应力和应变之差小于1％。