Articoli correlati a Introduction to Shape Optimization: Shape Sensitivity...
Sinossi
Shape Optimization is a classical field of the calculus of variations, optimal control theory and structural optimization. In this book the authors discuss the shape calculus introduced by J. Hadamard and extend it to a broad class of free boundary value problems. The approach is functional analytic throughout and will serve as an excellent basis for the development of numerical algorithms for the solution of shape optimization problems.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
1 Introduction to shape optimization.- 1.1. Preface.- 2 Preliminaries and the material derivative method.- 2.1. Domains in ?N of class Ck.- Surface measures on ?.- 2.3. Functional spaces.- 2.4. Linear elliptic boundary value problems.- 2.5. Shape functionals.- 2.6. Shape functionals for problems governed by linear elliptic boundary value problems.- 2.6.1. Shape functionals for transmission problems.- 2.6.2. Approximation of homogenuous Dirichlet problems.- 2.7. Convergence of domains.- 2.8. Transformations Tt of domains.- 2.9. The speed method.- 2.10. Admissible speed vector fields Vk(D).- 2.11. Eulerian derivatives of shape functionals.- 2.12. Non-differentiable shape functionals.- 2.13. Properties of Tt transformations.- 2.14. Differentiability of transported functions.- 2.15. Derivatives for t > 0.- 2.16. Derivatives of domain integrals.- 2.17. Change of variables in boundary integrals.- 2.18. Derivatives of boundary integrals.- 2.19. The tangential divergence of the field V on ?.- 2.20. Tangential gradients and Laplace―Beltrami operators on ?.- 2.21. Variational problems on ?.- 2.22. The transport of differential operators.- 2.23. Integration by parts on ?.- 2.24. The transport of Laplace―Beltrami operators.- 2.25. Material derivatives.- 2.26. Material derivatives on ?.- 2.27. The material derivative of a solution to the Laplace equation with Dirichlet boundary conditions.- 2.28. Strong material derivatives for Dirichlet problems.- 2.29. The material derivative of a solution to the Laplace equation with Neumann boundary conditions.- 2.30. Shape derivatives.- 2.31. Derivatives of domain integrals (II).- 2.32. Shape derivatives on ?.- 2.33. Derivatives of boundary integrals.- 3 Shape derivatives for linear problems.- 3.1. The shape derivative for the Dirichlet boundary value problem.- 3.2. The shape derivative for the Neumann boundary value problem.- 3.3. Necessary optimality conditions.- 3.4. Parabolic equations.- 3.4.1 Neumann boundary conditions.- 3.4.2 Dirichlet boundary conditions.- 3.5. Shape sensitivity in elasticity.- 3.6. Shape sensitivity analysis of the smallest eigenvalue.- 3.7. Shape sensitivity analysis of the Kirchhoff plate.- 3.8. Shape derivatives of boundary integrals: the non-smooth case in ?2.- 3.9. Shape sensitivity analysis of boundary value problems with singularities.- 3.10. Hyperbolic initial boundary value problems.- 4 Shape sensitivity analysis of variational inequalities.- 4.1. Differential stability of the metric projection in Hilbert spaces.- 4.2. Sensitivity analysis of variational inequalities in Hilbert spaces.- 4.3. The obstacle problem in H1 (?).- 4.3.1. Differentiability of the Newtonian capacity.- 4.3.2. The shape controlability of the free boundary.- 4.4. The Signorini problem.- 4.5. Variational inequalities of the second kind.- 4.6. Sensitivity analysis of the Signorini problem in elasticity.- 4.6.1. Differential stability of solutions to variational inequalities in Hilbert spaces.- 4.6.2. Shape sensitivity analysis.- 4.7. The Signorini problem with given friction.- 4.7.1. Shape sensitivity analysis.- 4.8. Elasto―Plastic torsion problems.- 4.9. Elasto―Visco―Plastic problems.- References.
Product Description
Rare Book
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Compra nuovo
Visualizza questo articolo
EUR 70,33
EUR 9,70 per la spedizione da Germania a Italia
Destinazione, tempi e costiAltre edizioni note dello stesso titolo
Risultati della ricerca per Introduction to Shape Optimization: Shape Sensitivity...
Immagini fornite dal venditore
Introduction to Shape Optimization
Da: moluna, Greven, Germania
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 5065772
Quantità: Più di 20 disponibili
Foto dell'editore
Introduction to Shape Optimization: Shape Sensitivity Analysis (Springer Series in Computational Mathematics)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In. Codice articolo ria9783642634710_new
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Introduction to Shape Optimization
Editore:
Springer Berlin Heidelberg Okt 2012, 2012
ISBN 10: 3642634710
ISBN 13: 9783642634710
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem. 260 pp. Englisch. Codice articolo 9783642634710
Quantità: 2 disponibili
Immagini fornite dal venditore
Introduction to Shape Optimization : Shape Sensitivity Analysis
Editore:
Springer Berlin Heidelberg, 2012
ISBN 10: 3642634710
ISBN 13: 9783642634710
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem. Codice articolo 9783642634710
Quantità: 1 disponibili
Immagini fornite dal venditore
Introduction to Shape Optimization
ISBN 10: 3642634710
ISBN 13: 9783642634710
Nuovo
Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch. Codice articolo 9783642634710
Quantità: 1 disponibili
Immagini fornite dal venditore
Introduction to Shape Optimization : Shape Sensitivity Analysis
Da: GreatBookPricesUK, Woodford Green, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 19494977-n
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Introduction to Shape Optimization : Shape Sensitivity Analysis
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 19494977-n
Quantità: Più di 20 disponibili
Foto dell'editore
Introduction to Shape Optimization (Springer Series in Computational Mathematics)
Da: Chiron Media, Wallingford, Regno Unito
Valutazione del venditore 4 su 5 stelle
Paperback. Condizione: New. Codice articolo 6666-IUK-9783642634710
Quantità: 10 disponibili
Immagini fornite dal venditore
Introduction to Shape Optimization : Shape Sensitivity Analysis
Da: GreatBookPricesUK, Woodford Green, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: As New. Unread book in perfect condition. Codice articolo 19494977
Quantità: Più di 20 disponibili
Foto dell'editore
Introduction to Shape Optimization: Shape Sensitivity Analysis (Springer Series in Computational Mathematics (16))
Da: Mispah books, Redhill, SURRE, Regno Unito
Valutazione del venditore 4 su 5 stelle
Paperback. Condizione: Like New. Like New. book. Codice articolo ERICA79736426347106
Quantità: 1 disponibili