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Analytical solutions to general anti-plane shear problems in finite elasticity

Gao, David Yang


This paper presents a pure complementary energy variational method for solving a general anti-plane shear problem in finite elasticity. Based on the canonical duality–triality theory developed by the author, the nonlinear/nonconvex partial differential equations for the large deformation problem are converted into an algebraic equation in dual space, which can, in principle, be solved to obtain a complete set of stress solutions. Therefore, a general analytical solution form of the deformation...[Show more]

CollectionsANU Research Publications
Date published: 2015-02-21
Type: Journal article
Source: Continuum Mechanics and Thermodynamics
DOI: 10.1007/s00161-015-0412-y
Access Rights: Open Access


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