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

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Abstract

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.

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  1. Division of Engineering Mechanics, Jiangsu University, 212013, Zhenjiang, Jiangsu, People’s Republic of China

    Y. Z. Chen

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  1. Y. Z. Chen
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Chen, Y.Z. Solutions of periodic notch problems with arbitrary configuration by using boundary integral equation and superposition method. Acta Mech 221, 251–260 (2011). https://doi.org/10.1007/s00707-011-0499-6

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  • DOI: https://doi.org/10.1007/s00707-011-0499-6

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