关于非局部场论的两点注记

研究了非局部场论中尚未完全解决的两个基本问题：其一为局部化体力，力矩残余之间的相关性，由此得到了一个描述两者关系的定理；其二为线性非局部弹性理论的应力边界条件的提法；文中所得到的应力边界条件不仅解释了在裂纹混合边界值问题中线性非局部弹性理论方程的解在常应力边界条件下不存在的问题，而且可以给出裂纹尖端的分子内聚力模型。

TWO NOTES ON NONLOCAL FIELD THEORY

Two basic problems unsolved completely in the nonlocal field theory are Studied.The first is the dependence of nonlocal residuals. By Studying this item, the.theorem of describingthe retalion of the nonloCal residual of the force Per volume and the nonlocal redual of the momentof fOrce is deduced' The other problem' is how to giVe a stress bollndary condition in the linear non-local elasticity. The stress boundary conditions obtuined in this peper not only answers the problemof that the solution of the linear noed ebeicity under the bounfory condition with uniform stressdoes not ekist in the crack problem with mixed boundsy conditions, but also naturally gives a modelof molecular cohesive stress on the tip of crack.