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https://hdl.handle.net/2142/22391
Description
Title
Overall results in second-order elasticity
Author(s)
Bai, Zhengxian
Issue Date
1991
Doctoral Committee Chair(s)
Shield, R.T.
Department of Study
Applied Mechanics
Discipline
Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Language
eng
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.
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