Download or read book On Conditions for the Existence of Decaying Solutions of the End Problem of Cylinders written by George W. Swan and published by . This book was released on 1967 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).