Variational formulation of stability problems for thin-walled members

Nishino, Fumio; Kasemset, Chompoonoot; Lee, S. L.

doi:10.1007/bf00536579

Cited by 31 publications

(1 citation statement)

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“…The theoretical development of this paper, however, is equally applicable to structural members like beams, plates, etc. because the governing equations of the structural members can always be reduced from those of a solid by introducing additional kinematic constraints on strain fields17, 18) Several numerical examples are presented to demonstrate the effectiveness of the proposed solution procedure.…”

Section: Discussionmentioning

confidence: 99%

Solution of Finite-Displacement Small-Strain Elasticity Problems by Removal of Rigid Body Displacements

Nishino

Malla

Sakurai

2000

Doboku Gakkai Ronbunshu

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If rigid body displacements are properly separated from a fmite-displacement small-strain problem, the remaining deformation is within the scope of the small displacement theory. For this purpose, the rigid body displacement of each sufficiently small subdomain of an elastic body must be removed independently from other subdomains before the actual deformation occurs. This paper presents a rigorous and straightforward theoretical formulation for a numerical solution procedure based on this concept. The simplicity of the formulation is due to the fact that it is developed for a general three-dimensional solid rather than structural elements as in the past works.

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Section: Discussionmentioning

confidence: 99%