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Title:Second-Order Effects in Problems for a Class of Elastic Materials
Author(s):Choi, Injae
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:For a special class of elastic materials, the inverse deformation is always possible in the same material. This result is used to simplify the determination of second-order effects in problems for this special class. The second-order solution for indentation of a half-space by a smooth rigid sphere is determined. For indentation by a flat-ended circular punch it is found that the second-order solution for compressible materials is physically inadmissible, while the solution for incompressible materials involves a concentrated line load at the edge of the punch. A spherical elastic inclusion embedded in an elastic matrix with uniform stresses at infinity is considered, and the special cases of a spherical hole and a rigid inclusion are treated.
Issue Date:1981
Description:95 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.
Other Identifier(s):(UMI)AAI8114401
Date Available in IDEALS:2014-12-14
Date Deposited:1981

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