Shape Optimization By The Homogenization Method
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Shape Optimization By The Homogenization Method
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Author : Gregoire Allaire
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Shape Optimization By The Homogenization Method written by Gregoire Allaire and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
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.
Shape Optimization By The Homogenization Method
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Author : Grégoire Allaire
language : en
Publisher:
Release Date : 1995
Shape Optimization By The Homogenization Method written by Grégoire Allaire and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Shape And Layout Optimization Using Homogenization Method
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Author : Katuyuki Suzuki
language : en
Publisher:
Release Date : 1991
Shape And Layout Optimization Using Homogenization Method written by Katuyuki Suzuki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
is constrained. The same technique is extended to cover cases where multiple load is applied within the given design domain. To determine elastic coefficients of structural material with microstructure, homogenization theory is used. A resizing rule is formulated on the basis of the optimality criteria method.
Shape Optimization Homogenization And Optimal Control
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Author : Volker Schulz
language : en
Publisher: Springer
Release Date : 2018-09-05
Shape Optimization Homogenization And Optimal Control written by Volker Schulz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-05 with Mathematics categories.
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.
Homogenization And Structural Topology Optimization
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Author : Behrooz Hassani
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Homogenization And Structural Topology Optimization written by Behrooz Hassani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Structural topology optimization is a fast growing field that is finding numerous applications in automotive, aerospace and mechanical design processes. Homogenization is a mathematical theory with applications in several engineering problems that are governed by partial differential equations with rapidly oscillating coefficients Homogenization and Structural Topology Optimization brings the two concepts together and successfully bridges the previously overlooked gap between the mathematical theory and the practical implementation of the homogenization method. The book is presented in a unique self-teaching style that includes numerous illustrative examples, figures and detailed explanations of concepts. The text is divided into three parts which maintains the book's reader-friendly appeal.
Topology Design Of Structures
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Author : Martin P. Bendsøe
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topology Design Of Structures written by Martin P. Bendsøe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992
Shape Optimization Using Constructive Representations
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Author : Jiaqin Chen
language : en
Publisher:
Release Date : 2008
Shape Optimization Using Constructive Representations written by Jiaqin Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Optimal Shape Design
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Author : B. Kawohl
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-11-16
Optimal Shape Design written by B. Kawohl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-16 with Mathematics categories.
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.
Optimization Of Structural Topology Shape And Material
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Author : Martin P. Bendsoe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Optimization Of Structural Topology Shape And Material written by Martin P. Bendsoe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Technology & Engineering categories.
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.
Shape Optimization And Homogenization Based Approach In Material Optimization
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Author : J. Haslinger
language : en
Publisher:
Release Date : 1995
Shape Optimization And Homogenization Based Approach In Material Optimization written by J. Haslinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.