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Shape Optimization By The Homogenization Method
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Book Synopsis Shape Optimization by the Homogenization Method by : Gregoire Allaire
Download or read book Shape Optimization by the Homogenization Method written by Gregoire Allaire and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; a detailed treatment of structural optimization by using homogenization; a complete discussion of the resulting numerical algorithms with many documented test problems. It will be of interest to researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.
Book Synopsis Shape Optimization by the Homogenization Method by : Gregoire Allaire
Download or read book Shape Optimization by the Homogenization Method written by Gregoire Allaire and published by Springer Science & Business Media. This book was released on 2001-10-19 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; a detailed treatment of structural optimization by using homogenization; a complete discussion of the resulting numerical algorithms with many documented test problems. It will be of interest to researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.
Book Synopsis Topology Design of Structures by : Martin P. Bendsøe
Download or read book Topology Design of Structures written by Martin P. Bendsøe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992
Book Synopsis Shape Optimization by the Homogenization Method by : Grégoire Allaire
Download or read book Shape Optimization by the Homogenization Method written by Grégoire Allaire and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Shape Design written by B. Kawohl and published by Springer Science & Business Media. This book was released on 2000-11-16 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.
Book Synopsis Optimization of Structural Topology, Shape, and Material by : Martin P. Bendsoe
Download or read book Optimization of Structural Topology, Shape, and Material written by Martin P. Bendsoe and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past, the possibilities of structural optimization were restricted to an optimal choice of profiles and shape. Further improvement can be obtained by selecting appropriate advanced materials and by optimizing the topology, i.e. finding the best position and arrangement of structural elements within a construction. The optimization of structural topology permits the use of optimization algorithms at a very early stage of the design process. The method presented in this book has been developed by Martin Bendsoe in cooperation with other researchers and can be considered as one of the most effective approaches to the optimization of layout and material design.
Book Synopsis IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials by : Martin Philip Bendsoe
Download or read book IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials written by Martin Philip Bendsoe and published by Springer Science & Business Media. This book was released on 2006-10-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers edited papers presented at the IUTAM-Symposium Topological design optimization of structures, machines and materials - status and perspectives, October 2005. The papers cover the application of topological design optimization to fluid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems. Also in focus are new basic modelling paradigms, covering new geometry modelling such as level-set methods and topological derivatives.
Book Synopsis Evolutionary Topology Optimization of Continuum Structures by : Xiaodong Huang
Download or read book Evolutionary Topology Optimization of Continuum Structures written by Xiaodong Huang and published by John Wiley & Sons. This book was released on 2010-03-11 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary Topology Optimization of Continuum Structures treads new ground with a comprehensive study on the techniques and applications of evolutionary structural optimization (ESO) and its later version bi-directional ESO (BESO) methods. Since the ESO method was first introduced by Xie and Steven in 1992 and the publication of their well-known book Evolutionary Structural Optimization in 1997, there have been significant improvements in the techniques as well as important practical applications. The authors present these developments, illustrated by numerous interesting and detailed examples. They clearly demonstrate that the evolutionary structural optimization method is an effective approach capable of solving a wide range of topology optimization problems, including structures with geometrical and material nonlinearities, energy absorbing devices, periodical structures, bridges and buildings. Presents latest developments and applications in this increasingly popular & maturing optimization approach for engineers and architects; Authored by leading researchers in the field who have been working in the area of ESO and BESO developments since their conception; Includes a number of test problems for students as well as a chapter of case studies that includes several recent practical projects in which the authors have been involved; Accompanied by a website housing ESO/BESO computer programs at http://www.wiley.com/go/huang and test examples, as well as a chapter within the book giving a description and step-by-step instruction on how to use the software package BESO2D. Evolutionary Topology Optimization of Continuum Structures will appeal to researchers and graduate students working in structural design and optimization, and will also be of interest to civil and structural engineers, architects and mechanical engineers involved in creating innovative and efficient structures.
Book Synopsis Topology Optimization by : Martin Philip Bendsoe
Download or read book Topology Optimization written by Martin Philip Bendsoe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.
Book Synopsis Optimal Design of Flexural Systems by : G. I. N. Rozvany
Download or read book Optimal Design of Flexural Systems written by G. I. N. Rozvany and published by Elsevier. This book was released on 2016-10-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Design of Flexural Systems: Beams, Grillages, Slabs, Plates and Shells covers theoretical developments and optimal solutions for all boundary conditions that may be of practical or theoretical interest in the design of flexural systems. Organized into nine chapters, this book begins with a review of certain fundamental concepts of mechanics, calculus of variations, and optimal design. Subsequent chapters discuss in considerable details the theories of optimal plastic design, as well as the elastic and prestressed systems. Other chapters describe the theory of optimal flexure fields that give an absolute minimum statically admissible ""moment volume"" for plane systems, as well as the slabs and grillages optimized within various types of geometrical constraints. The last chapter evaluates experimental work and certain practical aspects of the optimization of flexural systems. This book will be of interest to graduate students, research workers, practicing engineers, and architects in structural engineering, architectural science, aerospace technology, solid mechanics, and applied mathematics.
Book Synopsis Structural Optimization by : George I. N. Rozvany
Download or read book Structural Optimization written by George I. N. Rozvany and published by Springer. This book was released on 2011-09-20 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the IUTAM Symposium on Structural Optimization, Melbourne, Australia, February 9-13, 1988
Book Synopsis Shell Structures for Architecture by : Sigrid Adriaenssens
Download or read book Shell Structures for Architecture written by Sigrid Adriaenssens and published by Routledge. This book was released on 2014-03-21 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: *** Featuring a foreword by Pritzker Prize Winner Shigeru Ban *** Bringing together experts from research and practice, Shell Structures for Architecture: Form Finding and Optimization presents contemporary design methods for shell and gridshell structures, covering form-finding and structural optimization techniques. It introduces architecture and engineering practitioners and students to structural shells and provides computational techniques to develop complex curved structural surfaces, in the form of mathematics, computer algorithms, and design case studies. • Part I introduces the topic of shells, tracing the ancient relationship between structural form and forces, the basics of shell behaviour, and the evolution of form-finding and structural optimization techniques. • Part II familiarizes the reader with form-finding techniques to explore expressive structural geometries, covering the force density method, thrust network analysis, dynamic relaxation and particle-spring systems. • Part III focuses on shell shape and topology optimization, and provides a deeper understanding of gradient-based methods and meta-heuristic techniques. • Part IV contains precedent studies of realised shells and gridshells describing their innovative design and construction methods.
Book Synopsis Shape Optimization, Homogenization and Optimal Control by : Volker Schulz
Download or read book Shape Optimization, Homogenization and Optimal Control written by Volker Schulz and published by Springer. This book was released on 2018-09-05 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.
Book Synopsis Semidefinite Optimization and Convex Algebraic Geometry by : Grigoriy Blekherman
Download or read book Semidefinite Optimization and Convex Algebraic Geometry written by Grigoriy Blekherman and published by SIAM. This book was released on 2013-03-21 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Book Synopsis Variational Analysis in Sobolev and BV Spaces by : Hedy Attouch
Download or read book Variational Analysis in Sobolev and BV Spaces written by Hedy Attouch and published by SIAM. This book was released on 2014-10-02 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision. This second edition covers several new topics: new section on capacity theory and elements of potential theory now includes the concepts of quasi-open sets and quasi-continuity; increased number of examples in the areas of linearized elasticity system, obstacles problems, convection-diffusion, and semilinear equations; new section on mass transportation problems and the Kantorovich relaxed formulation of the Monge problem; new subsection on stochastic homogenization establishes the mathematical tools coming from ergodic theory; and an entirely new and comprehensive chapter (17) devoted to gradient flows and the dynamical approach to equilibria. The book is intended for Ph.D. students, researchers, and practitioners who want to approach the field of variational analysis in a systematic way.
Book Synopsis Topology Optimization in Structural Mechanics by : G.I.N. Rozvany
Download or read book Topology Optimization in Structural Mechanics written by G.I.N. Rozvany and published by Springer. This book was released on 2014-05-04 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology optimization is a relatively new and rapidly expanding field of structural mechanics. It deals with some of the most difficult problems of mechanical sciences but it is also of considerable practical interest, because it can achieve much greater savings than mere cross-section or shape optimization.
Book Synopsis Crystal Plasticity Finite Element Methods by : Franz Roters
Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.
