Shape Optimization by the Homogenization Method
By: by Grégoire Allaire
Series: Applied Mathematical Sciences -- 146; Applied mathematical sciences (Springer-Verlag New York Inc.) -- 146.
Publisher: Springer New York
Published: 2002
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 456
ISBN-13: 9781441929426; 9781468492866
Subjects: Mechanics; Mathematics; Global analysis (Mathematics); Engineering design; Civil engineering
Description: This book provides an introduction to the theory and numerical developments of the homogenization method. Its 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.
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Mode of access: World Wide Web.
Table of contents: title: Homogenization; title: The mathematical modeling of composites; title: Optimal design in conductivity; title: Optimal design in elasticity; title: Numerical algorithms.