Incremental Finite Element Analysis of Large Elastic Deformation Problems

Incremental variational principles involving the rate of displacement are obtained in Lagrangian and Eulerian description. Both of them lead straight-forwardly to finite element discretization, resulting in incremental matrix equations. The various acceptable generalizations of Hooke's law for...

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Bibliographic Details
Main Author: Dupuis,Georges A
Format: Report
Language:English
Subjects:
BOUNDARY VALUE PROBLEMS
DEFORMATION
FINITE ELEMENT ANALYSIS
LOADS(FORCES)
Mechanics
STRUCTURAL COMPONENTS
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Summary:Incremental variational principles involving the rate of displacement are obtained in Lagrangian and Eulerian description. Both of them lead straight-forwardly to finite element discretization, resulting in incremental matrix equations. The various acceptable generalizations of Hooke's law for large displacements and small strains are reviewed. We discuss the respective merits of the Lagrangian and Eulerian formulation as well as the value of the approximation based on an intuitive updating of the coordinates. An application is made to a generalized plane stress problem. (Author) Presented at the Conference on Computer-Aided Engineering held at Waterloo Univ. (Ontario). Errata sheet inserted.