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000798292 019__ $$a1002492918$$a1002698198
000798292 020__ $$a9783319639703$$q(electronic book)
000798292 020__ $$a3319639706$$q(electronic book)
000798292 020__ $$z9783319639697
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000798292 050_4 $$aTA357.5.F58
000798292 08204 $$a620.1/06$$223
000798292 1001_ $$aRichter, Thomas,$$eauthor.
000798292 24510 $$aFluid-structure interactions :$$bmodels, analysis and finite elements /$$cThomas Richter.
000798292 264_1 $$aCham :$$bSpringer,$$c[2017]
000798292 264_4 $$c©2017
000798292 300__ $$a1 online resource.
000798292 336__ $$atext$$btxt$$2rdacontent
000798292 337__ $$acomputer$$bc$$2rdamedia
000798292 338__ $$aonline resource$$bcr$$2rdacarrier
000798292 4901_ $$aLecture notes in computational science and engineering,$$x1439-7358 ;$$v118
000798292 504__ $$aIncludes bibliographical references and index.
000798292 5050_ $$aForeword; Preface; Fluid-structure Interactions; Scope of this Book; Acknowledgments; Contents; Part I Fundamentals; 1 Introduction; 1.1 Applications for Fluid-structure Interactions; 1.2 Dynamics of Fluid-structure Interactions; 1.3 Mathematical Challenges; 1.4 Partitioned Approaches; 1.5 Monolithic Models and Finite Element Discretizations; 1.6 Outline; 2 Models; 2.1 Continuum Mechanics; 2.1.1 Coordinate Systems; 2.1.2 Deformation Gradient; 2.1.3 Strain; 2.1.4 Rate of Deformation and Strain Rate; 2.1.5 Stress; 2.1.6 Conservation Principles
000798292 5058_ $$a2.1.7 Conservation Principles in Different CoordinateSystems2.2 Material Laws; 2.2.1 Hyperelastic Materials; 2.2.2 Linearizations; 2.2.3 Incompressible Materials; 2.3 The Solid Problem; 2.3.1 The Navier-Lamé Equations; 2.3.1.1 The Incompressible Navier-Lamé Equations ; 2.3.1.2 The Non-stationary Navier-Lamé Equations; 2.3.2 Theory of Nonlinear Hyper-Elastic Material; 2.4 The Fluid Problem; 2.4.1 Boundary and Initial Conditions; 2.4.2 The ``do-nothing'' Outflow Condition; 2.4.3 Reynolds Number; 2.4.4 The Linear Stokes Equations; 2.4.5 Theory of Incompressible Flows
000798292 5058_ $$a2.4.5.1 Existence and Uniqueness of Solutions to the Stokes Equations2.4.5.2 Existence and Uniqueness of the Pressure; 2.4.5.3 The Stationary Navier-Stokes Equations; 2.4.5.4 The Non-stationary Navier-StokesEquations; 2.5 Flow Problems on Moving Domains; 2.5.1 Eulerian Techniques for Flow Problems on Moving Domains; 2.5.2 The Arbitrary Lagrangian Eulerian (ALE) Formulation for Moving Domain Problems; 2.5.3 Definition of the ALE Map; 3 Coupled Fluid-structure Interactions; 3.1 Coupling Conditions; 3.1.1 The Kinematic Condition; 3.1.2 The Dynamic Condition; 3.1.3 The Geometric Condition
000798292 5058_ $$a3.1.4 Interface Regularity and Boundary Conditions3.1.5 Coupled Fluid-structure Interaction; 3.2 Existence and Uniqueness Theory for Fluid-structureInteractions; 3.3 The Added Mass Effect; 3.4 Variational Coupling Techniques; 3.5 Fluid-structure Interactions in ALE Coordinates; 3.5.1 Definition of the ALE Map; 3.5.2 Coupled ALE Formulation ; 3.6 Fully Eulerian Formulation for the Fluid-structure Interaction Problem; 3.6.1 Elastic Structures in Eulerian Coordinates; 3.6.2 Fluid-structure Interaction in Eulerian Coordinates; 3.6.3 The Initial Point Set Method; 4 Discretization
000798292 506__ $$aAccess limited to authorized users.
000798292 588__ $$aDescription based on print version record.
000798292 650_0 $$aFluid-structure interaction.
000798292 77608 $$iPrint version:$$z9783319639697$$z3319639692$$w(OCoLC)992747100
000798292 830_0 $$aLecture notes in computational science and engineering ;$$v118.
000798292 852__ $$bebk
000798292 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-63970-3$$zOnline Access$$91397441.1
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