Research Article
Dec 1964
Complementary Energy Method for Finite Deformations
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 90, Issue 6
Abstract
A principle of stationary complementary energy is developed for statically loaded structures with finite displacements, rotations, and strains, made of material with linear or nonlinear elasticity. The principle is based on a vectorial definition of complementary work analogous to the vectorial definition of ordinary work. It is used to solve two illustrative truss problems, including one in which even the infinitesimal deformations cannot be determined by the conventional complementary energy method. The principle is shown to include the conventional complementary energy theorem for infinitesimal deformations as a special case.
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Published In
Journal of the Engineering Mechanics Division
Volume 90 • Issue 6 • December 1964
Pages: 49 - 71
Copyright
© 1964 American Society of Civil Engineers.
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Published in print: Dec 1964
Published online: Feb 3, 2021
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Authors
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Charles Libove, M.ASCE
Assoc. Prof. of Mech. Engrg., Syracuse Univ., Syracuse, N. Y.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.