A screw dislocation by nonlinear continuum mechanics

Based on the nonlinear geometry field theory of continuum mechanics. this paper analyses the stress field due to a serew dislocation in an infinite an infinite medium . The results reveal the high-order effect of the stress field. When this effect is small. the result can be reduced to one of the classical linear elasticity. The body couple field of the serew dislocation is also investigated in this paper. The analytiecal expression of the body couple due to a serew dislocation is obtained with small rotation deformation. As the application of theoretical results. the stress and the body couple at the interface of the crystals are calculated when the serew dislocation is near the interface .