Solutions of periodic notch problems with arbitrary configuration by using boundary integral equation and superposition method

摘要

This paper studies the periodic notch problem with arbitrary configuration. A complex variable boundary integral equation (CVBIE) is suggested to solve the problem. The periodic notch problem is considered as a superposition of infinite single notch problems. The influence on the domain point from the assumed boundary traction on the notch contour is reduced to formulate a matrix. In this paper, this matrix is formulated completely after the relevant BIE is solved in a matrix representation. The remainder estimation technique is suggested to evaluate the influence to the central notch from many (form N-th to infinity) neighboring notches. Many computed results for the stress concentration factor for the elliptic and square notches are carried out. The stacking effect is also studied.