Application of dynamic relaxation to the large deflection elasto-plastic analysis of plates

doi:10.1016/0045-7949(78)90037-8

Computers & Structures

Volume 8, Issue 2, April 1978, Pages 301-310

https://doi.org/10.1016/0045-7949(78)90037-8 Get rights and content

Abstract

The application of dynamic relaxation, a finite difference based iterative analysis, to the study of plates to date is reviewed. The extension of the method to include both geometrical and material non-linear effects in plates is then described in detail. Particular attention is paid to aspects of the iteration parameters which control convergence. The advantages of interlacing finite difference meshes is discussed and the mesh refinement necessary for the accurate analysis of plates in compression and in shear is considered. The usual elastic out-of-plane boundary conditions are generalised by the inclusion of terms applicable in the elasto-plastic range, and the role of in-plane boundary restraints is discussed in respect of plating in both bridge and ship structures. The scope of the method is demonstrated by examples of a long plate with patch loading normal to the undeflected plane of the plate and a panel of a box girder web. In both cases, the effects of initial out-of-plane geometric distortions and welding residual strains on behaviour up to and beyond collapse are considered.

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^†: Research Fellow, Civil Engineering Department, Imperial College, London, England.

^§: Reader in Steel Structures.

View full text

Application of dynamic relaxation to the large deflection elasto-plastic analysis of plates

Abstract

Nucl. Struct. Engng

Int. J. Mech. Sci.

Tidal computations

The Engineer

An introduction to dynamic relaxation

The Engineer

Analysis of plates by dynamic relaxation with special reference to boundary conditions

The use of interlacing nets for the application of relaxation methods to problems involving two dependent variables

Dynamic relaxation solutions of elastic plate problems

J. Strn. Anal.

Dynamic relaxation solution for the large deflection of plates with specified boundary stresses

J. Strn. Anal.

Festigkeitsprobleme in Maschenembau

Encyklopädie der Mathematischen Wissenschaften

Zur Theorie der gekrümmten Platte grosser Formänderung

Some examples of the elastic behaviour of initially deformed bridge panels

Civil Eng. & Pub. Wks Rev.

Prediction of collapse loadings for composite highway bridges