Overall results in second-order elasticity

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Bai, Zhengxian

Contributors dc:contributor

• Shield, R.T.

• Applied Mechanics

Statement dc:rights

• Copyright 1991 Bai, Zhengxian

Language dc:language

eng

Identifier

AAI9136534
(UMI)AAI9136534

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22391