Plate Stress Analysis by a General Integral Method

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Abstract
An integral method that can directly deal with the three basic problems in simply- or multiply-connected domains is described. The method consists in considering the body as immersed in the indefinite plane and trying to reproduce the actual field inside the corresponding area by means of auxiliary forces distributed on lines externally surrounding the boundary. The parameters defining this distribution are obtained by solving a system of equations, and from these parameters stresses and displacements can be determined at any point of the body. The determination of particular integrals of the field equations when arbitrary body forces are present is also reduced to the determination of the effects of forces distributed on lines in the indefinite plane although the method is more general than other integral methods, it proves to give more accurate results than the finite-element method.

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