The end problem for a torsionless hollow circular elastic cylinder

dc.contributor.advisorChilds, S. Bart
dc.creatorPenha, Guilherme M. de la
dc.description.abstractA class of axisymmetric boundary value problems for a torsionless semi-infinite hollow circular cylinder is considered; the lateral surface of the cylinder is assumed to be traction free, whereas its end-section is subjected to given self-equilibrated loads, given displacements or to mixed boundary conditions. The solution utilizes Love's stress representation - - known to be complete - - to generate an aggregate of biorthogonal eigenfunctions in the interval a≤π≤b. The problem is formally reduced to an infinite system of linear algebraic equations; explicit expressions being given in the case of mixed boundary conditions. The close association of the problem with two classical ones, namely, Saint-Venant's problems and Salnt-Venant's principle is discussed and supplemented with substantial references.
dc.description.departmentMechanical Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleThe end problem for a torsionless hollow circular elastic cylinder
dc.type.genreThesis of Engineering Engineering, Department of Engineering of Houston of Philosophy


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