Research Article
Feb 1968
Plate Stress Analysis by a General Integral Method
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 1
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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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 1 • February 1968
Pages: 79 - 102
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Feb 1968
Published online: Feb 3, 2021
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Authors
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Eduardo R. Arantes Oliveira
Head, Applied Mathematics Div., Laboratorio Nacional de Engenharia Civil, Lisbon, Portugal
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