Shape Optimization and Homogenization-based Approach in Material Optimization PDF Download

Author: J. Haslinger
Publisher:
ISBN: 9789513406431
Category :
Languages : en
Pages : 12

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Author: Gregoire Allaire
Publisher: Springer Science & Business Media
ISBN: 1468492861
Category : Technology & Engineering
Languages : en
Pages : 470

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Book Description
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.

Author: Gregoire Allaire
Publisher: Springer
ISBN: 9781468492873
Category : Technology & Engineering
Languages : en
Pages : 458

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Book Description
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.

Author: Martin Philip Bendsoe
Publisher: Springer Science & Business Media
ISBN: 1402047525
Category : Technology & Engineering
Languages : en
Pages : 602

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Book Description
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.

Author: Martin P. Bendsøe
Publisher: Springer Science & Business Media
ISBN: 9401118043
Category : Mathematics
Languages : en
Pages : 564

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Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992

Author: Martin P. Bendsoe
Publisher: Springer Science & Business Media
ISBN: 3662031159
Category : Technology & Engineering
Languages : en
Pages : 278

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Book Description
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.

Author: Michael F. Ashby
Publisher: Elsevier
ISBN: 0080511465
Category : Technology & Engineering
Languages : en
Pages : 251

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Metal foams are at the forefront of technological development for the automotive, aerospace, and other weight-dependent industries. They are formed by various methods, but the key facet of their manufacture is the inclusion of air or other gaseous pockets in the metal structure. The fact that gas pockets are present in their structure provides an obvious weight advantage over traditionally cast or machined solid metal components. The unique structure of metal foams also opens up more opportunities to improve on more complex methods of producing parts with space inclusions such as sand-casting. This guide provides information on the advantages metal foams possess, and the applications for which they may prove suitable. Offers a concise description of metal foams, their manufacture, and their advantages in industry Provides engineers with answers to pertinent questions surrounding metal foams Satisfies a major need in the market for information on the properties, performance, and applications of these materials

Author: G. I. N. Rozvany
Publisher: Elsevier
ISBN: 1483139417
Category : Technology & Engineering
Languages : en
Pages : 314

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Book Description
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.

Author: Andrej V. Cherkaev
Publisher: Springer Science & Business Media
ISBN: 1461220327
Category : Mathematics
Languages : en
Pages : 329

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Book Description
Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate rials. This activity brings together a number of related themes, including: ( 1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "com pensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result it has received attention and support from numerous scientific communities, including engineering, materials science, and physics as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circu lating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of "gap" in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate.

Author: B. Kawohl
Publisher: Springer Science & Business Media
ISBN: 9783540679714
Category : Mathematics
Languages : en
Pages : 404

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Book Description
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.