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Structural Engineering and Mechanics
  Volume 38, Number 5, June10 2011 , pages 619-631
DOI: https://doi.org/10.12989/sem.2011.38.5.619
 


Solution of periodic notch problems in an infinite plate using BIE in conjunction with remainder estimation technique
Y.Z. Chen

 
Abstract
    This paper provides a complex variable BIE for solving the periodic notch problems in plane plasticity. There is no limitation for the configuration of notches. For the periodic notch problem, the remainder estimation technique is suggested. In the technique, the influences on the central notch from many neighboring notches are evaluated exactly. The influences on the central notch from many remote notches are approximated by one term with a multiplying factor. This technique provides an effective way to solve the problems of periodic structures. Several numerical examples are presented, and most of them have not been reported previously.
 
Key Words
    complex variable BIE; periodic notch problem; remainder estimation technique; stress concentration.
 
Address
Y.Z. Chen: Division of Engineering Mechanics, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China
 

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