There is mased differences between experimental and analytical results in the frame of symmetric stress model,when the notable stress gradient exist,or outstanding microstructure is to be considerated,or wavelength is too shorter in dynamic problems. Other difficulty is introduced in linear elastic statics of homogeneous isotropic solid that.The problem is that,neighbor boundaries of a angle domain are subjected to two shear forces not equal each other. The problem is not solved in the frame of symmetric stress model. In the frame of the asymmetric stress and couple stress model in present paper this difficulty is sovlved. It is show that,as the distance from the boundaries increase the solving in the frame of asymmetric stress model tent to that in the frame of symmetric stress model.