Large Displacement Elastoplastic Analysis of Space Trusses as a Mathematical Programming Problem

Author:

Xia S.H.1,Tin-Loi F.1

Affiliation:

1. School of Civil and Environmental Engineering, University of New South Wales, Sydney 2052, Australia

Abstract

A mathematical programming approach is proposed for the large displacement elastoplastic analysis of space trusses. Features of the general methodology include the preservation of static-kinematic duality through the concept of fictitious forces and deformations, exact descriptions of equilibrium and compatibility for arbitrarily large displacements, albeit small strain, that can be specialized to any order of geometrical nonlinearity, and a complementarity description of the elastoplastic constitutive laws. The finite incremental formulation developed takes the form of a special mathematical programming problem known as a nonlinear complementarity problem for which a predictor-corrector type numerical scheme is proposed.

Publisher

SAGE Publications

Subject

Building and Construction,Architecture,Civil and Structural Engineering,Conservation

Reference24 articles.

1. Buckling of Reticulated Shells: State-of-the-Art

2. Maier G., Smith D. Lloyd, Update to “Mathematical programming applications to engineering plastic analysis”, Applied Mechanics Update, ASME, New York, 1986, pp. 377–383.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Geometric and Material Nonlinear Analyses of Trusses Subjected to Thermomechanical Loads;Structural Engineering International;2022-06-21

2. Nonlinear Analysis of Cable-strut Structures as a Mixed Complementarity Problem;International Journal of Space Structures;2003-12

3. HOLONOMIC SOFTENING: MODELS AND ANALYSIS*;Mechanics of Structures and Machines;2001-04

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