Mathematical Programming Methods for Deformation Analysis at Plastic Collapse
Author: Donald E. Grierson
Publisher: University of Waterloo, Solid Mechanics Division
Published: 1976
Total Pages: 46
ISBN-13:
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Author: Donald E. Grierson
Publisher: University of Waterloo, Solid Mechanics Division
Published: 1976
Total Pages: 46
ISBN-13:
DOWNLOAD EBOOKAuthor: D. Lloyd Smith
Publisher: Springer
Published: 2014-05-04
Total Pages: 433
ISBN-13: 3709126185
DOWNLOAD EBOOKCivil 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.
Author: M. Z. Cohn
Publisher: Pergamon
Published: 1979
Total Pages: 680
ISBN-13:
DOWNLOAD EBOOKAuthor: D. E. Grierson
Publisher: University of Waterloo
Published: 1971
Total Pages: 44
ISBN-13:
DOWNLOAD EBOOKAuthor: Michael R. Mitchell
Publisher: ASTM International
Published: 1994
Total Pages: 405
ISBN-13: 0803119895
DOWNLOAD EBOOKExamines the initiation and growth of fatigue cracks and the fracture toughness of advanced materials such as silicon nitride, special alloys and steels, thermoplastics, and graphite-epoxy composites; and explains several non-destructive techniques to evaluate such materials for manufacturing defect
Author: Thomas A. Jaeger
Publisher:
Published: 1977
Total Pages: 588
ISBN-13:
DOWNLOAD EBOOKAuthor: Dirk Cornelis Adriaan Koopman
Publisher:
Published: 1967
Total Pages: 150
ISBN-13:
DOWNLOAD EBOOKAuthor: Michael J. Best
Publisher: CRC Press
Published: 2017-07-12
Total Pages: 423
ISBN-13: 1351647202
DOWNLOAD EBOOKQuadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables. QP is a subset of Operations Research and is the next higher lever of sophistication than Linear Programming. It is a key mathematical tool in Portfolio Optimization and structural plasticity. This is useful in Civil Engineering as well as Statistics.
Author:
Publisher:
Published: 1979
Total Pages: 710
ISBN-13:
DOWNLOAD EBOOKAuthor: Aleksandr Aleksandrovich Chiras
Publisher: Ellis Horwood
Published: 1983
Total Pages: 136
ISBN-13:
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