Download or read book Constrained Optimization in Elastoplastic Analysis written by Giulio Maier and published by . This book was released on 1972 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Programming Methods in Structural Plasticity written by D. Lloyd Smith and published by Springer. This book was released on 2014-05-04 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Models for the Analysis and Optimization of Elastoplastic Structures written by Aleksandr Aleksandrovich Chiras and published by Ellis Horwood. This book was released on 1983 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Trends in PDE Constrained Optimization written by Günter Leugering and published by Springer. This book was released on 2014-12-22 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with Partial Differential Equations” from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics. The book is divided into five sections on “Constrained Optimization, Identification and Control”, “Shape and Topology Optimization”, “Adaptivity and Model Reduction”, “Discretization: Concepts and Analysis” and “Applications”. Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs.
Download or read book Plastic Analysis and Design of Steel Structures written by M. Bill Wong and published by Butterworth-Heinemann. This book was released on 2011-08-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The plastic analysis method has been used extensively by engineers for designing steel structures. Simpler structures can be analyzed using the basic virtual work formulation, but more complex frames are evaluated with specialist computer software. This new book sets out a method for carrying out plastic analysis of complex structures without the need for specialist tools.The book provides an introduction to the use of linear programming techniques for plastic analysis. This powerful and advanced method for plastic analysis is important in an automated computational environment, in particular for non-linear structural analysis.A detailed comparison between the design codes for the United States and Australia and the emerging European Eurocodes enables practising engineers to understand the issues involved in plastic design procedures and the limitations imposed by this design method. Covers latest research in plastic analysis and analytical tools Introduces new successive approximation method for calculating collapse loads Programming guide for using spreadsheet tools for plastic analysis
Download or read book Mathematical Programming Methods in Structural Plasticity written by D. Lloyd Smith and published by Springer Science & Business Media. This book was released on 1990-05-18 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Analysis and Optimization of Elastoplastic Systems written by Aleksandr Aleksandrovich Chiras and published by . This book was released on 1983 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shape Optimization of Elasto plastic Bodies Sensitivity Analysis and Numerical Realization written by J. Haslinger and published by . This book was released on 1991 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimization of Large Structural Systems written by G. I. N. Rozvany and published by Springer Science & Business Media. This book was released on 1993 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of two volumes which examine structural optimization of large structural systems. Topics covered in these volumes include optimality criteria and topology optimization, decomposition methods and approximation concepts, neural networks and parallel processing.
Download or read book Optimization of Large Structural Systems written by George I. N. Rozvany and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 1201 pages. Available in PDF, EPUB and Kindle. Book excerpt: G.I.N. Rozvany ASI Director, Professor of Structural Design, FB 10, Essen University, Essen, Germany Structural optimization deals with the optimal design of all systems that consist, at least partially, of solids and are subject to stresses and deformations. This inte grated discipline plays an increasingly important role in all branches of technology, including aerospace, structural, mechanical, civil and chemical engineering as well as energy generation and building technology. In fact, the design of most man made objects, ranging from space-ships and long-span bridges to tennis rackets and artificial organs, can be improved considerably if human intuition is enhanced by means of computer-aided, systematic decisions. In analysing highly complex structural systems in practice, discretization is un avoidable because closed-form analytical solutions are only available for relatively simple, idealized problems. To keep discretization errors to a minimum, it is de sirable to use a relatively large number of elements. Modern computer technology enables us to analyse systems with many thousand degrees of freedom. In the optimization of structural systems, however, most currently available methods are restricted to at most a few hundred variables or a few hundred active constraints.
Download or read book Three dimensional Elasto plastic Analysis of Soils written by Arend Erik Groen and published by . This book was released on 1997 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Material Strength and Applied Mechanics written by A. Khotsianovsky and published by IOS Press. This book was released on 2023-10-03 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keeping abreast of the latest developments in materials technology and techniques is vital to a wide range of sectors such as aerospace, the automotive industry, and mechanical and civil engineering. A knowledge and understanding of the latest research is crucial to facilitate the adoption of appropriate solutions in tackling those challenges that will inevitably be encountered. This book presents the proceedings of MSAM 2023, the 6th International Conference on Material Strength and Applied Mechanics, held as a hybrid event from 4-7 July 2023 in Macau, China. This annual conference provides a platform for all those engaged in basic or applied research, technology development, application, and innovation in material strength and applied mechanics to exchange information and ideas about the latest research in the field, and is attended by scientists and experts from academia and industry from around the world. The book contains 17 papers accepted from 50 submissions received for presentation at the conference. These were selected following a rigorous peer-review process, in which each paper was assessed by two or three reviewers on the basis of criteria including scope, application, research merit, and experimental techniques. Topics covered include applied mechanics, intelligent manufacturing technology, mechanical engineering, optimal design of structures, advanced materials sciences, computational methods and modeling, simulation processes, and industrial applications. The book offers an overview of the latest advancements in material strength and applied mechanics, and will be of interest to all those working in the field.
Download or read book A Compact Formulation of an Elastoplastic Analysis Problem written by Michael J. Best and published by . This book was released on 1980 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonconvex Optimization in Mechanics written by E.S. Mistakidis and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonconvexity and nonsmoothness arise in a large class of engineering applica tions. In many cases of practical importance the possibilities offered by opti mization with its algorithms and heuristics can substantially improve the per formance and the range of applicability of classical computational mechanics algorithms. For a class of problems this approach is the only one that really works. The present book presents in a comprehensive way the application of opti mization algorithms and heuristics in smooth and nonsmooth mechanics. The necessity of this approach is presented to the reader through simple, represen tative examples. As things become more complex, the necessary material from convex and nonconvex optimization and from mechanics are introduced in a self-contained way. Unilateral contact and friction problems, adhesive contact and delamination problems, nonconvex elastoplasticity, fractal friction laws, frames with semi rigid connections, are among the applications which are treated in details here. Working algorithms are given for each application and are demonstrated by means of representative examples. The interested reader will find helpful references to up-to-date scientific and technical literature so that to be able to work on research or engineering topics which are not directly covered here.
Download or read book Direct Methods for Limit and Shakedown Analysis of Structures written by Paolo Fuschi and published by Springer. This book was released on 2015-01-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this book examine various materials and how to determine directly the limit state of a structure, in the sense of limit analysis and shakedown analysis. Apart from classical applications in mechanical and civil engineering contexts, the book reports on the emerging field of material design beyond the elastic limit, which has further industrial design and technological applications. Readers will discover that “Direct Methods” and the techniques presented here can in fact be used to numerically estimate the strength of structured materials such as composites or nano-materials, which represent fruitful fields of future applications. Leading researchers outline the latest computational tools and optimization techniques and explore the possibility of obtaining information on the limit state of a structure whose post-elastic loading path and constitutive behavior are not well defined or well known. Readers will discover how Direct Methods allow rapid and direct access to requested information in mathematically constructive manners without cumbersome step-by-step computation. Both researchers already interested or involved in the field and practical engineers who want to have a panorama of modern methods for structural safety assessment will find this book valuable. It provides the reader with the latest developments and a significant amount of references on the topic.
Download or read book Advances in Applied Mathematics and Global Optimization written by David Y. Gao and published by Springer Science & Business Media. This book was released on 2009-04-09 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.
Download or read book Constraint Effects in Fracture Theory and Applications written by Mark Kirk and published by ASTM International. This book was released on 1995 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:
