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Title:Overall results in second-order elasticity
Author(s):Bai, Zhengxian
Doctoral Committee Chair(s):Shield, R.T.
Department / Program:Applied Mechanics
Discipline:Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Applied Mechanics
Abstract:A method for determining overall load-deformation relations for small-strain elastic deformations with large displacements has been adapted so that second-order elastic effects can be included in certain overall quantities such as bending stiffness without explicit determination of the second-order solution. The approach uses Betti's reciprocal theorem. The method is applied to obtain the resultant force and moment to second order for cylindrical bars with arbitrary cross-sections under torsion, extension and torsion, bending by an end moment, and twisting and bending to helical form.
Issue Date:1991
Type:Text
Language:English
URI:http://hdl.handle.net/2142/22391
Rights Information:Copyright 1991 Bai, Zhengxian
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9136534
OCLC Identifier:(UMI)AAI9136534


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