implementation.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Introduction. 1. One-Dimensional Bar Model Problem (Principle of Virtual Work). 2. Spatial Discretisation by the Finite Element Method. 3. Solution of Nonlinearities by the Linear Iteration Method. 4. Time Integration by the Finite Difference Method. 5. Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methods. 6. Two and Three-Dimensional Deformable Solids. Conclusion. Bibliography. Appendix A: List of Symbols. Appendix B: Exercises. Index.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Da: Brook Bookstore On Demand, Napoli, NA, Italia
Condizione: new. Questo è un articolo print on demand. Codice articolo CW6MGXCJQ9
Quantità: Più di 20 disponibili
Da: moluna, Greven, Germania
Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1. One-Dimensional Bar Model Problem (Principle of Virtual Work). 2. Spatial Discretisation by the Finite Element Method. 3. Solution of Nonlinearities by the Linear Iteration Method. 4. Time Integration by the Finite Difference Method. Codice articolo 5831274
Quantità: Più di 20 disponibili
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Summary This bookis an introdU(;tion to the three numerical methodsmost commonly used for the mechanical analysisof deformable solids, namely: the finite element method(FEM), a particularcaseofGalerkin's method, for the spatial discretisationofsolids; the linear iteration method(LIM), a generalizationofNewton's method, for solving geometricandmaterial nonlinearities; the finite difference method (FDM), in fact Newmark's method, for the temporal discretisation oftheproblem. The main reason for this selection is the degree of generality reached by the computerprograms basedon the combinationofthese methods. The originalityofthepresentation lies in the comparable emphasisputon the spatial, temporal and nonlinear dimensions of problem solving. For each dimension, there corresponds one method whose basic principle is exposed. It is then shown how they can be combined in a compact and flexible fonn. Thisjoint investigationofthe three methods leads to a particularly neat global algorithm. It is with this double objectiveof simplicity and unity in mind that this book has been designed. An outline of the book follows. A one-dimensional bar model problem, including all the ingredients necessary for acompletepresentationofthe addressed methods, isdefined in Chapter1. Emphasis is placedon the virtual work principle as an alternative to the.differentialequation ofmotion. Chapters 2, 3 and 4 present the three numerical methods: FEM, LIM and FDM, respectively. Although the presentation relies on a one-dimensional model problem, the fonnalism used is general and directly extendible to two- and three-dimensional situations. The compact combination of the three methods is discussed in detail in Chapter 5, which also contains several sections concerning their computer implementation. 420 pp. Englisch. Codice articolo 9789401044868
Quantità: 2 disponibili
Da: preigu, Osnabrück, Germania
Taschenbuch. Condizione: Neu. Computational Methods in Solid Mechanics | A. Curnier | Taschenbuch | xii | Englisch | 2012 | Springer | EAN 9789401044868 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 105459754
Quantità: 5 disponibili
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1 One-Dimensional Bar Model Problem (Principle of Virtual Work).- 1.1 Kinematics : material description.- 1.2 Dynamics: equilibrium of forces.- 1.3 Mechanics : principle of virtual work.- 1.4 Geometric and material non-linearities.- 1.5 Constitutive laws for solid materials.- 1.6 Discontinuities in space.- 1.7 Thermics : heat equation.- 1.8 Mathematics : functional analysis notions.- 1.9 Summary.- 2 Spatial Discretisation by the Finite Element Method.- 2.1 Global overview : Galerkin method.- 2.2 Nodal FEM : piecewise polynomial basis functions.- 2.3 Localisation of mesh nodal displacements.- 2.4 Interpolation of element nodal displacements.- 2.5 Integration of element nodal forces.- 2.6 Assembly of mesh nodal forces.- 2.7 Properties of force vectors.- 2.8 Automation: isoparametric maps and numerical integration.- 2.9 Boundary conditions condensation.- 2.10 Algorithm: element loop.- 2.11 Practice : heat equation discretisation.- 2.12 Accuracy : error norms and estimates.- 2.13 Summary.- 3 Solution of Non-Linearities by the Linear Iteration Method.- 3.1 Linearisation : classical and directional derivative.- 3.2 Nominal stress linearisation : nominal tangent modulus.- 3.3 Linearized equations of motion : mass and stiffness matrices.- 3.4 Finite element mass and stiffness matrices.- 3.5 Assembly of the mass and stiffness matrices.- 3.6 Properties of the mass and stiffness matrices.- 3.7 Linearized heat equation.- 3.8 Condensation of boundary conditions after linearisation.- 3.9 Linear iteration method : algorithm and variants.- 3.10 Standard and modified Newton methods.- 3.11 Secant or conjugate gradient methods.- 3.12 Gradient and Jacobi methods.- 3.13 Local and global convergence of iterative methods.- 3.14 Local convergence of the LIM : consistency and stability.- 3.15 Glocal convergence of the LIM : damping and continuation.- 3.16 Summary.- 4 Time Integration by the Finite Difference Method.- 4.1 Generalised trapezoidal rule or Euler scheme (applied to the linear heat equation).- 4.2 Modal analysis of the heat equation.- 4.3 General error analysis : summary and glossary.- 4.4 Stability of the heat-trapezoid algorithm.- 4.5 Consistency of the heat-trapezoid algorithm.- 4.6 Convergence of the heat-trapezoid algorithm.- 4.7 Generalized trapezoidal rale or Newmark scheme (applied to the linear wave equation).- 4.8 Modal analysis of the wave equation.- 4.9 Stability of the wave-trapezoid algorithm.- 4.10 Consistency of the wave-trapezoid algorithm.- 4.11 Convergence of the wave-trapezoid algorithm.- 4.12 Summary.- 5 Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methods.- 5.1 Problem statement review.- 5.2 Galerkin-FE algorithm review.- 5.3 Newton-LI algorithm review.- 5.4 Newmark-FD algorithm review.- 5.5 Combining the FE, LI and FD algorithms.- 5.6 Nonlinear thermics algorithm.- 5.7 Nonlinear dynamics algorithm.- 5.8 Nonlinear thermodynamics synthesis.- 5.9 Convergence review.- 5.10 Programming guidelines (TACT example).- 5.11 FD and LI methods programming.- 5.12 FE and algebraic methods programming.- 5.13 Summary.- 6 Two- and Three-Dimensional Deformable Solids.- 6.1 Kinematics : material description.- 6.2 Dynamics: balance of forces.- 6.3 Mechanics : principle of virtual work.- 6.4 Objective constitutive laws.- 6.5 Nominal stress linearisation.- 6.6 Constitutive laws for solid materials.- 6.7 Spatial discretisation in three dimensions.- 6.8 Linearized discrete mechanics.- 6.9 Isoparametric solid finite elements.- 6.10 Finite difference time integration.- 6.11 Final algorithm.- 6.12 Summary.- Conclusion.- Appendix A : List of Symbols.- 1.- 2.- 3.- 4.- 5.- 6.- Appendix B : Exercises.- 1.- 2.- 3.- 4.- 5.- 6.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 420 pp. Englisch. Codice articolo 9789401044868
Quantità: 1 disponibili
Da: AHA-BUCH GmbH, Einbeck, Germania
Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Summary This bookis an introdU(;tion to the three numerical methodsmost commonly used for the mechanical analysisof deformable solids, namely: the finite element method(FEM), a particularcaseofGalerkin's method, for the spatial discretisationofsolids; the linear iteration method(LIM), a generalizationofNewton's method, for solving geometricandmaterial nonlinearities; the finite difference method (FDM), in fact Newmark's method, for the temporal discretisation oftheproblem. The main reason for this selection is the degree of generality reached by the computerprograms basedon the combinationofthese methods. The originalityofthepresentation lies in the comparable emphasisputon the spatial, temporal and nonlinear dimensions of problem solving. For each dimension, there corresponds one method whose basic principle is exposed. It is then shown how they can be combined in a compact and flexible fonn. Thisjoint investigationofthe three methods leads to a particularly neat global algorithm. It is with this double objectiveof simplicity and unity in mind that this book has been designed. An outline of the book follows. A one-dimensional bar model problem, including all the ingredients necessary for acompletepresentationofthe addressed methods, isdefined in Chapter1. Emphasis is placedon the virtual work principle as an alternative to the.differentialequation ofmotion. Chapters 2, 3 and 4 present the three numerical methods: FEM, LIM and FDM, respectively. Although the presentation relies on a one-dimensional model problem, the fonnalism used is general and directly extendible to two- and three-dimensional situations. The compact combination of the three methods is discussed in detail in Chapter 5, which also contains several sections concerning their computer implementation. Codice articolo 9789401044868
Quantità: 1 disponibili
Da: Books Puddle, Woodside, NY, U.S.A.
Condizione: New. pp. 422. Codice articolo 26127717260
Quantità: 4 disponibili
Da: Majestic Books, Hounslow, Regno Unito
Condizione: New. Print on Demand pp. 422 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 132870227
Quantità: 4 disponibili
Da: Biblios, Frankfurt am main, HESSE, Germania
Condizione: New. PRINT ON DEMAND pp. 422. Codice articolo 18127717254
Quantità: 4 disponibili
Da: Mispah books, Redhill, SURRE, Regno Unito
Paperback. Condizione: Like New. LIKE NEW. SHIPS FROM MULTIPLE LOCATIONS. book. Codice articolo ERICA77394010448646
Quantità: 1 disponibili