CISM International Centre for Mechanical Sciences

Mathematical Programming Methods in Structural Plasticity

Editors: Smith, D. Lloyd (Ed.)

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  • ISBN 978-3-7091-2618-9
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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.

Table of contents (21 chapters)

Table of contents (21 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-7091-2618-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA in USD
  • ISBN 978-3-211-82191-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Programming Methods in Structural Plasticity
Editors
  • D. Lloyd Smith
Series Title
CISM International Centre for Mechanical Sciences
Series Volume
299
Copyright
1990
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Wien
eBook ISBN
978-3-7091-2618-9
DOI
10.1007/978-3-7091-2618-9
Softcover ISBN
978-3-211-82191-6
Series ISSN
0254-1971
Edition Number
1
Number of Pages
VIII, 435
Number of Illustrations
4 b/w illustrations
Topics