Articles liés à Integrodifferential Relations in Linear Elasticity
Integrodifferential Relations in Linear Elasticity - Couverture rigide
Livre 6 sur 53: De Gruyter Studies in Mathematical Physics
Synopsis
Deformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity.
This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l'auteur
Georgy V. Kostin and Vasily V. Saurin, Ishlinsky Institute for Problems in Mechanics, Russia.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Integrodifferential Relations in Linear Elasticity (Studies in Mathematical Physics)
Edité par
De Gruyter, 2012
ISBN 10 : 3110270307
ISBN 13 : 9783110270303
Ancien ou d'occasion
Couverture rigide
Vendeur : killarneybooks, Inagh, CLARE, Irlande
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : Very Good. Hardcover, x + 280 pages, NOT ex-library. Clean and bright interior with unmarked text, free of inscriptions and stamps, firmly bound. Two small scuffed areas on the front board; some gentle indentations to edges. Issued without a dust jacket. -- Deformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity. This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. -- Contents: 1 Introduction 2 Basic concepts of the linear theory of elasticity: - Stresses - Linear strains - Constitutive relations - Boundary value problems [Static statements; Dynamic problems] - Simplified models [Elastic rods and strings; Beam models; Membranes; Plane stress and strain states] 3 Conventional variational principles: - Classical variational approaches [Energy relations; Direct principles; Complementary principles] - Variational principles in dynamics - Generalized variational principles [Relations among variational principles; Semi-inverse approach] - Finite dimensional discretization [Ritz method; Galerkin method; Finite element method; Boundary element method] 4 The method of integrodifferential relations: - Basic ideas [Analytical solutions in linear elasticity; Integral formulation of Hooke's law] - Family of quadratic functionals - Ritz method in the MIDR [Algorithm of polynomial approximations; 2D clamped plate - static case] - 2D natural vibrations [Eigenvalue problem; Free vibrations of circular and elliptic membranes] 5 Variational properties of the integrodifferential statements: - Variational principles for quadratic functionals - Relations with the conventional principles - Bilateral energy estimates - Body on an elastic foundation [Variational principle for the energy error functional; Bilateral estimates] 6 Advance finite element technique: - Piecewise polynomial approximations - Smooth polynomial splains [Argyris triangle; Stiffness matrix for the Argyris triangle; E2 approximations for a triangle element] - Finite element technique in linear elasticity problems - Mesh adaptation and mesh refinement 7 Semi-discretization and variational technique: - Reduction of PDE system to ODEs [Beam-oriented notation; Semi-discretization in the displacements; Semi-discretization in the stresses] - Analysis of beam stress-strain state - 2D elastic beam vibrations 8 An asymptotic approach: - Classical variational approach - Integrodifferential approach [Basic ideas of asymptotic approximations; Beam equations - general case of loading] - Elastic beam vibrations [Statement of an eigenvalue problem; Longitudinal vibrations; Lateral vibrations] - 3D static problem 9 A projection approach: - Projection formulation of linear elasticity problems - Projections vs. variations and asymptotics 10 3D static beam modeling: - Projection algorithms - Cantilever beam with the triangular cross section - Projection beam model - Characteristics of a beam with the triangular cross section 11 3D beam vibrations: - Integral projections in eigenvalue problems - Natural vibrations of a beam with the triangular cross section - Forced vibrations of a beam with the triangular cross section; A. Vectors and tensors B. Sobolev spaces; Bibliography; Index. N° de réf. du vendeur 007566
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Integrodifferential Relations in Linear Elasticity
Edité par
De Gruyter, 2012
ISBN 10 : 3110270307
ISBN 13 : 9783110270303
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : Sehr gut. Zustand: Sehr gut | Seiten: 292 | Sprache: Englisch | Produktart: Bücher | Deformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity.This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. N° de réf. du vendeur 23481907/12
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Integrodifferential Relations in Linear Elasticity
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Hardcover. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The aim of this very important book is the study of problems in solid mechanics whose variational forms are equalities, expressing the principle of virtual power in its equality form. This book is unique in that it presents a profound mathematical analy. N° de réf. du vendeur 23258683
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Integrodifferential Relations in Linear Elasticity
Edité par
Walter de Gruyter, 2012
ISBN 10 : 3110270307
ISBN 13 : 9783110270303
Neuf
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Integrodifferential Relations in Linear Elasticity
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Integrodifferential Relations in Linear Elasticity
Edité par
Walter de Gruyter, 2012
ISBN 10 : 3110270307
ISBN 13 : 9783110270303
Neuf
Couverture rigide
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Etat : New. N° de réf. du vendeur 25543834-n
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Integrodifferential Relations in Linear Elasticity
Edité par
De Gruyter, De Gruyter Okt 2012, 2012
ISBN 10 : 3110270307
ISBN 13 : 9783110270303
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Deformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity.This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. 292 pp. Englisch. N° de réf. du vendeur 9783110270303
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Integrodifferential Relations in Linear Elasticity (eng)
Edité par
Walter de Gruyter, 2012
ISBN 10 : 3110270307
ISBN 13 : 9783110270303
Neuf
Couverture rigide
Vendeur : Brook Bookstore On Demand, Napoli, NA, Italie
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Integrodifferential Relations in Linear Elasticity
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Deformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity.This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. N° de réf. du vendeur 9783110270303
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Integrodifferential Relations in Linear Elasticity (De Gruyter Studies in Mathematical Physics, 10)
Edité par
Walter de Gruyter, 2012
ISBN 10 : 3110270307
ISBN 13 : 9783110270303
Neuf
Couverture rigide
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In English. N° de réf. du vendeur ria9783110270303_new
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