Accession Number : AD0662708
Title : ON CONDITIONS FOR THE EXISTENCE OF DECAYING SOLUTIONS OF THE END PROBLEM OF CYLINDERS.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Swan,George W.
Report Date : AUG 1967
Pagination or Media Count : 55
Abstract : A Laplace transform method is applied to the problem of a semi-infinite homogeneous elastic circular cylinder which is free from stress on the curved boundary but has some form of prescribed displacements and/or axially symmetric stresses on the plane face. The eigen-function expansion is constructed in a rigorous way and the conditions are derived which allow the stress function to exhibit a decaying form. Associated with this problem is the Principle of Saint-Venant and in the last section is presented a numerical value to the fundamental decay constant. (Author)
Descriptors : (*CYLINDRICAL BODIES, *STRESSES), ELASTIC PROPERTIES, INTEGRAL TRANSFORMS, PLASTIC PROPERTIES, MATHEMATICAL ANALYSIS
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE