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Title:Second order effects in problems for class of elastic materials
Author(s):Choi, I.; Shield, Richard T.
Subject(s):Elastic Materials
Second Order Effects
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:1981-01
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 447
Genre:Technical Report
Rights Information:Copyright 1981 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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