Finite Element Approximation for Optimal Shape, Material and Topology Design
Editorial Reviews
Book Description
This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimization of structures is addressed in the first part, using variational inequalities of elliptic type. New results, such as contact shape optimization for bodies made of non-linear material, sensitivity analysis based on isoparametric technique, and analysis of cost functionals related to contact stress distribution are included. The second part presents new concepts of shape optimization based on a fictitious domain approach. Finally, the application of the shape optimization methodology in the material design is discussed. This second edition is a fully revised and up-dated version of Finite Element Method for Optimal Shape Design. Numerous numerical examples illustrate the theoretical results, and industrial applications are given.
The publisher, John Wiley & Sons
The authors present a sophisticated mathematical analysis of the subject from continuous model through its discretization and approximation results to sensitivity assessment and numerical realization. This edition contains new results including shape optimization for bodies consisting of physically nonlinear material and evaluation of cost functionals to control contact forces. Describes a novel concept for the practical implementation of optimal shape design problems based on a fictitious domain approach. Discusses the application of non-smooth optimization methods in realistic problems. Theoretical results are illustrated by numerical examples.
Finite Element Approximation for Optimal Shape, Material and Topology Design
Finite Element Approximation for Optimal Shape, Material and Topology Design,J. Haslinger,Pekka Neittaanmäki,John Wiley & Sons,0471958506,Applied,Engineering,Engineering - General,Engineering Mechanics,Finite Element Method (Mathematics),Finite element method,Mathematical models,Science/Mathematics,Technology & Industrial Arts,Industrial / Commercial Art & Design,Mathematics / Applied,Mathematics for scientists & engineers,Structural engineering
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