Saurin Vasily (30 results)

Hardcover. Condition: 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.…

Condition: New.

Condition: New.

Condition: As New. Unread book in perfect condition.

Condition: new.

Condition: New. In English.

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Hardback. Condition: New. This monograph covers new variational and projection methods to study the dynamics within solid structures. To cope with the underlying initial-boundary value problems, the method of integrodifferential relations is employed. Applications and examples in physics, mechanics and control engineering range from natural vibrations or forced motions of elastic and viscoelastic bodies to heat and mass transfer processes. ContentsGeneralized formulations of parabolic and hyperbolic problemsVariational principles in linear elasticityVariational statements in structural mechanicsRitz method for initial-boundary value problemsVariational and projection techniques with semi-discretizationIntegrodifferential approach to eigenvalue problemsSpatial vibrations of elastic beams with convex cross-sectionsDouble minimization in optimal control problemsSemi-discrete approximations in inverse dynamic problemsModeling and control in mechatronics.…

Condition: New.

Condition: New.

Condition: New.

Condition: New.

Condition: New. In English.

Condition: new.

Condition: As New. Unread book in perfect condition.

Hardback. Condition: New. This monograph covers new variational and projection methods to study the dynamics within solid structures. To cope with the underlying initial-boundary value problems, the method of integrodifferential relations is employed. Applications and examples in physics, mechanics and control engineering range from natural vibrations or forced motions of elastic and viscoelastic bodies to heat and mass transfer processes. ContentsGeneralized formulations of parabolic and hyperbolic problemsVariational principles in linear elasticityVariational statements in structural mechanicsRitz method for initial-boundary value problemsVariational and projection techniques with semi-discretizationIntegrodifferential approach to eigenvalue problemsSpatial vibrations of elastic beams with convex cross-sectionsDouble minimization in optimal control problemsSemi-discrete approximations in inverse dynamic problemsModeling and control in mechatronics.…

Condition: New. 2017. Hardcover. . . . . .

Condition: As New. Unread book in perfect condition.

Condition: New. pp. xi + 280 105 Figures.

Gebundene Ausgabe. Condition: Neu. 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. Sprache: Englisch Gewicht in Gramm: 620.…

Condition: New. pp. xi + 280.

Hardcover. Condition: Brand New. 291 pages. 9.30x6.80x0.80 inches. In Stock.

Condition: New. 2012. Hardcover. . . . . .

Condition: New. 2017. Hardcover. . . . . . Books ship from the US and Ireland.

Hardback. Condition: New. 1st. 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.…

Hardback. Condition: New. 1st. 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.…

Condition: New. 2012. Hardcover. . . . . . Books ship from the US and Ireland.

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The book is well written and includes numerical examples at the end of each chapter. The book will be useful to teachers, students and researchers. Girish Kumar Ramaiah in: Zentralblatt MATH 1406.74001 In summary, this book will be.…

Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph covers new variational and projection methods to study the dynamics within solid structures. To cope with the underlying initial-boundary value problems, the method of integrodifferential relations is employed. Applications and examples in physics, mechanics and control engineering range from natural vibrations or forced motions of elastic and viscoelastic bodies to heat and mass transfer processes.ContentsGeneralized formulations of parabolic and hyperbolic problemsVariational principles in linear elasticityVariational statements in structural mechanicsRitz method for initial-boundary value problemsVariational and projection techniques with semi-discretizationIntegrodifferential approach to eigenvalue problemsSpatial vibrations of elastic beams with convex cross-sectionsDouble minimization in optimal control problemsSemi-discrete approximations in inverse dynamic problemsModeling and control in mechatronicsDe Gruyter Mouton, Genthiner Straße 13, 10785 Berlin 306 pp. Englisch.…

Condition: 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. …