{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/22391"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/22391","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Overall results in second-order elasticity","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. 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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.","Made available in DSpace on 2011-05-07T13:38:20Z (GMT). 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