Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses
type: Item
instance of: scholarly article
title: Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses
zbMATH Open document ID: 0614.73039
DOI: 10.1007/BF00282040
author: K. Kondoh
author: Satya N. Atluri
published in: Computational Mechanics
publication date: 1987-01-01T00:00:00Z
review text: Simple and economical procedures for large-deformation elasto-plastic analysis of frames, whose members can be characterized as beams, are presented. An assumed stress approach is employed to derive the tangent stiffness of the beam, subjected in general to non-conservative type distributed loading. The beam is assumed to undergo arbitrarily large rigid rotations but small axial stretch and relative (non-rigid) pointwise rotations. It is shown that if a plastic-hinge method (with allowance being made for the formation of the hinge at an arbitrary location or locations along the beam) is employed, the tangent stiffness matrix may be derived in an explicit fashion, without numerical integration. Several examples are given to illustrate the relative economy and efficiency of the method in solving large-deformation elasto- plastic problems. The method is of considerable utility in analysing off- shore structures and large structures that are likely to be deployed in outerspace.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 3995167
zbMATH Keywords: relative non-rigid pointwise rotations
zbMATH Keywords: large-deformation elasto-plastic analysis
zbMATH Keywords: frames
zbMATH Keywords: beams
zbMATH Keywords: arbitrarily large rigid rotations
zbMATH Keywords: small axial stretch
zbMATH Keywords: plastic-hinge method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00282040
OpenAlex ID: W2005858215
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description: scientific article; zbMATH DE number 3995167