Fictitious Strains Due to Rigid Body Rotation

by Dharapuram S. Jagannathan,
Paul P. Christiano,
Howard I. Epstein,

Serial Information: Journal of the Structural Division, 1975, Vol. 101, Issue 11, Pg. 2472-2476

Document Type: Journal Paper


The behavior of structures that exhibit large displacements under loading must be predicted through a nonlinear analysis in which terms higher than first order are included in the strain-displacement relationship. To predict snap-through instabilities, the displacement method, using a finite element formulation, incorporates such a relationship. Although displacements may be large, often strains may be considered small in relation to unity, and therefore certain higher order terms are usually neglected. However, in some cases, doing so may lead to anomalous and inaccurate results. The present paper deals with this problem.

Subject Headings: Displacement (mechanics) | Strain | Rigid body dynamics | Rotation | Structural behavior | Finite element method | Structural analysis | Load factors

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