非局部平面应变和平面应力问题界定及其精确性讨论

在非局部弹性理论框架下对平面应变和平面应力状态重新界定.首先,分别在其相应简化假设下推导控制方程,并与经典局部情况进行比较.然后,引入变形协调条件对两类非局部平面问题的精确性进行讨论.其中,对于非局部平面应力状态,通过应变协调方程的Fourier变换形式来进行研究,使问题得以简化.通过以上分析,最终得到一些有价值的结论.

DISCUSSIONS ON THE DEFINTION AND ACCURACY OF NONLOCAL PLANE STRAIN AND STRESS PROBLEMS

Within the framework of nonlocal elasticity theory,the nonlocal plane strain and stress states are re-visited.Firstly,their governing equations are deduced,respectively,based on the corresponding simplifying assumptions,and some comparisons with the classical local equations are conducted.Then the accuracy of solutions to the two kinds of nonlocal plane problems is discussed by means of the strain compatibility conditions.In studying the strain compatibility equations of nonlocal plane stress state,Fourier ...