Finite Element Approximation for Optimal Shape, Material and Topology Design

J. Haslinger, Pekka Neittaanmäki

ISBN 10: 0471958506 / ISBN 13: 9780471958505

Verlag: John Wiley and Sons Inc, US, 1996

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. Bestandsnummer des Verkäufers LU-9780471958505

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

J. Haslinger and Pekka Neittaanmäki are the authors of Finite Element Approximation for Optimal Shape, Material and Topology Design, 2nd Edition, published by Wiley.

Bibliografische Details

Titel: Finite Element Approximation for Optimal ...
Verlag: John Wiley and Sons Inc, US
Erscheinungsdatum: 1996
Einband: Hardback
Zustand: New
Auflage: 2. Auflage