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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Modeling and Control in Solid Mechanics (Paperback, Softcover reprint of the original 1st ed. 1997)
Loot Price: R1,641
Discovery Miles 16 410
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Modeling and Control in Solid Mechanics (Paperback, Softcover reprint of the original 1st ed. 1997)
Series: International Series of Numerical Mathematics, 122
Expected to ship within 10 - 15 working days
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New trends in free boundary problems and new mathematical tools
together with broadening areas of applications have led to attempts
at presenting the state of art of the field in a unified way. In
this monograph we focus on formal models representing contact
problems for elastic and elastoplastic plates and shells. New
approaches open up new fields for research. For example, in crack
theory a systematic treatment of mathematical modelling and
optimization of problems with cracks is required. Similarly,
sensitivity analysis of solutions to problems subjected to
perturbations, which forms an important part of the problem solving
process, is the source of many open questions. Two aspects of
sensitivity analysis, namely the behaviour of solutions under
deformations of the domain of integration and perturbations of
surfaces seem to be particularly demanding in this context. On
writing this book we aimed at providing the reader with a
self-contained study of the mathematical modelling in mechanics.
Much attention is given to modelling of typical constructions
applied in many different areas. Plates and shallow shells which
are widely used in the aerospace industry provide good exam ples.
Allied optimization problems consist in finding the constructions
which are of maximal strength (endurance) and satisfy some other
requirements, ego weight limitations. Mathematical modelling of
plates and shells always requires a reasonable compromise between
two principal needs. One of them is the accuracy of the de
scription of a physical phenomenon (as required by the principles
of mechanics)."
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