Complementary Energy Method for Finite Deformation

by Charles Libove,

Serial Information: Journal of the Engineering Mechanics Division, 1964, Vol. 90, Issue 6, Pg. 49-72

Document Type: Journal Paper

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.

Subject Headings: Terminology and definition | Energy methods | Power plants | Load factors | Displacement (mechanics) | Rotation | Strain

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