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Mathematical Programming Methods in Structural Plasticity

  • Book
  • © 1990

Overview

Editors:
  1. D. Lloyd Smith

    1. Imperial College, London, UK

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Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 299)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Mathematical Programming

    • D. Lloyd Smith
    Pages 1-21

  3. Linear Programming

    • D. Lloyd Smith
    Pages 23-35

  4. Quadratic Programs and Complementarity

    • D. Lloyd Smith
    Pages 37-46

  5. Statics and Kinematics

    • D. Lloyd Smith
    Pages 47-60

  6. Plastic Limit Analysis

    • D. Lloyd Smith
    Pages 61-82

  7. Piecewise-Linear Elastic-Plastic Stress-Strain Relations

    • J. A. Teixeira de Freitas
    Pages 83-114

  8. Complementarity Problems and Unilateral Constraints

    • A. Borkowski
    Pages 115-133

  9. Elastic-Plastic Analysis of Structural Cross-Sections

    • J. A. Teixeira de Freitas
    Pages 135-152

  10. Elastoplastic Analysis of Skeletal Structures

    • J. A. Teixeira de Freitas
    Pages 153-169

  11. A Gradient Method for Elastic-Plastic Analysis of Structures

    • J. A. Teixeira de Freitas
    Pages 171-180

  12. Plastic Shakedown Analysis

    • Nguyen Dang Hung, P. Morelle
    Pages 181-205

  13. Optimal Plastic Design and the Development of Practical Software

    • Nguyen Dang Hung, P. Morelle
    Pages 207-229

  14. Variational Statements and Mathematical Programming Formulations in Elastic-Plastic Analysis

    • L. Corradi
    Pages 231-253

  15. Finite Element Modelling of the Elastic-Plastic Problem

    • L. Corradi
    Pages 255-291

  16. Rigid Plastic Dynamics

    • D. Lloyd Smith, C. L. Sahlit
    Pages 293-313

  17. Bounding Techniques and Their Application to Simplified Plastic Analysis of Structures

    • T. Panzeca, C. Polizzotto, S. Rizzo
    Pages 315-348

  18. Mathematical Programming Methods for the Evaluation of Dynamic Plastic Deformations

    • G. Borino, S. Caddemi, C. Polizzotto
    Pages 349-372

  19. Structural Analysis for Nonlinear Material Behaviour

    • J. A. Teixeira de Freitas
    Pages 373-386

  20. Large Displacement Elastoplastic Analysis of Structures

    • J. A. Teixeira de Freitas
    Pages 387-401
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Keywords

About this book

Civil engineering structures tend to be fabricated from materials that respond elastically at normal levels of loading. Most such materials, however, would exhibit a marked and ductile inelasticity if the structure were overloaded by accident or by some improbable but naturally occuring phenomeon. Indeed, the very presence of such ductility constitutes an important safety provision for large-scale constructions where human life is at risk. In the comprehensive evaluation of safety in structural design, it is therefore unrealistic not to consider the effects of ductility. This book sets out to show that the bringing together of the theory and methods of mathematical programming with the mathematical theory of plasticity furnishes a model which has a unifying theoretical nature and is entirely representative of observed structural behaviour. The contents of the book provide a review of the relevant aspects of mathematical programming and plasticity theory, together with a detailed presentation of the most interesting and potentially useful applications in both framed and continuum structures: ultimate strength and elastoplastic deformability; shakedown and practical upper bounds on deformation measures; evolutive dynamic response; large displacements and instability; stochastic and fuzzy programming for representing uncertainty in ultimate strength calculations. Besides providing a ready fund of computational algorithms, mathematical programming invests applications in mechanics with a refined mathematical formalism, rich in fundamental theorems, which often gives addi- tional insight into known results and occasionally lead to new ones. In addition to its obvious practical utility, the educational value of the material thoroughly befits a university discipline.

Editors and Affiliations

  • Imperial College, London, UK

    D. Lloyd Smith

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