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Mathematical Programming Methods in Structural Plasticity

  • D. Lloyd Smith

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. D. Lloyd Smith
    Pages 1-21
  3. D. Lloyd Smith
    Pages 23-35
  4. D. Lloyd Smith
    Pages 37-46
  5. D. Lloyd Smith
    Pages 47-60
  6. D. Lloyd Smith
    Pages 61-82
  7. J. A. Teixeira de Freitas
    Pages 83-114
  8. J. A. Teixeira de Freitas
    Pages 135-152
  9. J. A. Teixeira de Freitas
    Pages 153-169
  10. J. A. Teixeira de Freitas
    Pages 171-180
  11. Nguyen Dang Hung, P. Morelle
    Pages 181-205
  12. Nguyen Dang Hung, P. Morelle
    Pages 207-229
  13. D. Lloyd Smith, C. L. Sahlit
    Pages 293-313
  14. J. A. Teixeira de Freitas
    Pages 373-386
  15. J. A. Teixeira de Freitas
    Pages 387-401
  16. K. A. Sikorski, A. Borkowski
    Pages 403-424
  17. D. Lloyd Smith, P-H. Chuang, J. Munro
    Pages 425-435

About this book

Introduction

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.

Keywords

algorithms construction deformation elasticity Fundament instability material Mathematica mechanics optimization plasticity Potential stability structural design

Editors and affiliations

  • D. Lloyd Smith
    • 1
  1. 1.Imperial CollegeLondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-2618-9
  • Copyright Information CISM Udine 1990
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-82191-6
  • Online ISBN 978-3-7091-2618-9
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site
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