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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Testing of materials
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Mathematical Programming Methods in Structural Plasticity (Paperback, 1990 ed.)
Loot Price: R1,584
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Mathematical Programming Methods in Structural Plasticity (Paperback, 1990 ed.)
Series: CISM International Centre for Mechanical Sciences, 299
Expected to ship within 10 - 15 working days
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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.
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