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Title:Large Deflections of Structures With Small Elastic Strains (Nonlinear, Rotations)
Author(s):Im, Seyoung
Department / Program:Theoretical and Applied Mechanics
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Applied Mechanics
Abstract:A consistent theory for linear elastic behavior in which the strains are small but the displacements and rotations can be large is applied to the bending of a beam by end loads and by its own weight, and to the bending of a long rectangular plate and of a circular plate by uniform pressure. The theory provides solutions for geometries between those for which the infinitesimal theory applies and those for which structural theories, such as Kirchhoff's theory for rods and the von Karman equations for plates, can be used. The results confirm the validity of Kirchhoff's rod theory within the range of small-strain, linear elastic behavior. For the plate problems considered the von Karman equations are found to provide accurate results for thin plates for which deflections are not small.
Issue Date:1985
Description:87 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1985.
Other Identifier(s):(UMI)AAI8600216
Date Available in IDEALS:2014-12-16
Date Deposited:1985

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