Abstract
The boundary problem of elasticity theory in stresses or displacements for materials which are continuously inhomogeneous along one coordinate is reduced by means of Laplace and Helmholtz equations to a set of four integro-differential equations, two of which are singular. Each of the equations contains integrals for the contour of the transverse section of a body which is assumed to be piecewise-smooth, and integrals for a region coincident with the section of the body.
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Sumy. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 20–23, 1990.
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Kovalenko, G.P. Reduction of elasticity theory boundary problems for inhomogeneous media to sets of integral equations. J Math Sci 68, 642–644 (1994). https://doi.org/10.1007/BF01249396
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DOI: https://doi.org/10.1007/BF01249396