关于Neuber方程的理论证明及在疲劳分析中的应用

Theoretical Confirmation of Neuber Equation and Its Application in Fatigue Analysis

根据弹性理论中保守系统的最小余能原理推导出任意应力状态下Ｎｅｕｂｅｒ方程的普遍形式。从理论上证明了当缺口体满足保守力系条件时Ｎｅｕｂｅｒ方程具有普遍适用性。同时还对Ｎｅｕｂｅｒ方程推广应用到循环加载时存在的问题进行了讨论，并给出了相应的修正方程。

A general form of Neuber equation under arbitrary stress state is derivedbased on the principle of minimal complementary energy of elastic theory. It is confirmed thatwhen notched bodies satisfy the condition of conservative force system, Neuber equation isuniversally applicable. Meanwhile some problems which exist when Neuber equation isextended in cyclic loading are discussed,and corresponding modified equations are given out.