1st Edition

Biharmonic Problem in the Theory of Elasticity

By Lurie Copyright 1995
    260 Pages
    by CRC Press

    276 Pages
    by CRC Press

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    This reference work offers a method of deriving exact solutions to the biharmonic equation in the context of elasticity problems, and proposes a number of new solutions. Beginning with an in-depth presentation of a general mathematical model, this text proceeds to outline specific applications, extending the developed method to special harmonic problems of mechanics for conjugated domains. All applications are illustrated with numerical examples.

    Homogeneous solutions for the biharmonic problem; method of solution for the biharmonic problem of mathematical physics; plane problem of the theory of elasticity in cartesian co-ordinates; plane problem of the theory of elasticity in polar co-ordinates; biharmonic problem of the classical plate theory; axisymmetric problem of the theory of elasticity for a cylinder.


    Sergey A. Lurie, Valery Vasiliev