Abstract
On the basis of mathematical elastic theory, the stress functions of multiple complex variables are derived in an infinite multiply-connected plate by using multiple conformal representations. The functions are developed in Fouries series on unit circles, the unknown coefficients of the functions are determined by comparing coefficient method, then the stresses in the plate can be calculated. A plate containing multiple elliptical holes is discussed, the corresponding FORTRAN77 program is finished. Two examples are given, they show that this method is very effective and convenient.
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Communicated by Chien Wei-zang
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Lin-jiang, W., Jia-keng, L. The calculation of the multiply-connected elastic plane problems by means of stress functions of multiple complex variables. Appl Math Mech 15, 689–696 (1994). https://doi.org/10.1007/BF02451617
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DOI: https://doi.org/10.1007/BF02451617