| Titre : |
The finite element method for solid and structural mechanics |
| Type de document : |
texte imprimé |
| Auteurs : |
O.C. Zienkiewicz, Auteur |
| Editeur : |
Paris [France] : Elsevier |
| Année de publication : |
2005 |
| Importance : |
XV + 631 p. |
| Présentation : |
ill. |
| Format : |
25 cm |
| ISBN/ISSN/EAN : |
978-0-7506-6321-2 |
| Langues : |
Anglais (eng) |
| Catégories : |
Éléments finis, Méthode des ; Milieux continus, Mécanique des ; Théorie des constructions
|
| Index. décimale : |
531.2 |
| Note de contenu : |
Cover -- The Finite Element Method for Solid and Structural Mechanics Sixth edition -- Contents -- Preface -- 1. General problems in solid mechanics and non-linearity -- 1.1 Introduction -- 1.2 Small deformation solid mechanics problems -- 1.3 Variational forms for non-linear elasticity -- 1.4 Weak forms of governing equations -- 1.5 Concluding remarks -- References -- 2. Galerkin method of approximation -- irreducible and mixed forms -- 2.1 Introduction -- 2.2 Finite element approximation -- Galerkin method -- 2.3 Numerical integration -- quadrature -- 2.4 Non-linear transient and steady-state problems -- 2.5 Boundary conditions: non-linear problems -- 2.6 Mixed or irreducible forms -- 2.7 Non-linear quasi-harmonic field problems -- 2.8 Typical examples of transient non-linear calculations -- 2.9 Concluding remarks -- References -- 3. Solution of non-linear algebraic equations -- 3.1 Introduction -- 3.2 Iterative techniques -- 3.3 General remarks -- incremental and rate methods -- References -- 4. Inelastic and non-linear materials -- 4.1 Introduction -- 4.2 Viscoelasticity -- history dependence of deformation -- 4.3 Classical time-independent plasticity theory -- 4.4 Computation of stress increments -- 4.5 Isotropic plasticity models -- 4.6 Generalized plasticity -- 4.7 Some examples of plastic computation -- 4.8 Basic formulation of creep problems -- 4.9 Viscoplasticity -- a generalization -- 4.10 Some special problems of brittle materials -- 4.11 Non-uniqueness and localization in elasto-plastic deformations -- 4.12 Non-linear quasi-harmonic field problems -- 4.13 Concluding remarks -- References -- 5. Geometrically non-linear problems -- finite deformation -- 5.1 Introduction -- 5.2 Governing equations -- 5.3 Variational description for finite deformation -- 5.4 Two-dimensional forms -- 5.5 A three-field, mixed finite deformation formulation -- 5.6 A mixed-enhanced finite deformation formulation -- 5.7 Forces dependent on deformation -- pressure loads -- 5.8 Concluding remarks -- References -- 6. Material constitution for finite deformation -- 6.1 Introduction -- 6.2 Isotropic elasticity -- 6.3 Isotropic viscoelasticity -- 6.4 Plasticity models -- 6.5 Incremental formulations -- 6.6 Rate constitutive models -- 6.7 Numerical examples -- 6.8 Concluding remarks -- References -- 7. Treatment of constraints -- contact and tied interfaces -- 7.1 Introduction -- 7.2 Node-node contact: Hertzian contact -- 7.3 Tied interfaces -- 7.4 Node-surface contact -- 7.5 Surface-surface contact -- 7.6 Numerical examples -- 7.7 Concluding remarks -- References -- 8. Pseudo-rigid and rigid-flexible bodies -- 8.1 Introduction -- 8.2 Pseudo-rigid motions -- 8.3 Rigid motions -- 8.4 Connecting a rigid bo |
The finite element method for solid and structural mechanics [texte imprimé] / O.C. Zienkiewicz, Auteur . - Paris (France) : Elsevier, 2005 . - XV + 631 p. : ill. ; 25 cm. ISBN : 978-0-7506-6321-2 Langues : Anglais ( eng)
| Catégories : |
Éléments finis, Méthode des ; Milieux continus, Mécanique des ; Théorie des constructions
|
| Index. décimale : |
531.2 |
| Note de contenu : |
Cover -- The Finite Element Method for Solid and Structural Mechanics Sixth edition -- Contents -- Preface -- 1. General problems in solid mechanics and non-linearity -- 1.1 Introduction -- 1.2 Small deformation solid mechanics problems -- 1.3 Variational forms for non-linear elasticity -- 1.4 Weak forms of governing equations -- 1.5 Concluding remarks -- References -- 2. Galerkin method of approximation -- irreducible and mixed forms -- 2.1 Introduction -- 2.2 Finite element approximation -- Galerkin method -- 2.3 Numerical integration -- quadrature -- 2.4 Non-linear transient and steady-state problems -- 2.5 Boundary conditions: non-linear problems -- 2.6 Mixed or irreducible forms -- 2.7 Non-linear quasi-harmonic field problems -- 2.8 Typical examples of transient non-linear calculations -- 2.9 Concluding remarks -- References -- 3. Solution of non-linear algebraic equations -- 3.1 Introduction -- 3.2 Iterative techniques -- 3.3 General remarks -- incremental and rate methods -- References -- 4. Inelastic and non-linear materials -- 4.1 Introduction -- 4.2 Viscoelasticity -- history dependence of deformation -- 4.3 Classical time-independent plasticity theory -- 4.4 Computation of stress increments -- 4.5 Isotropic plasticity models -- 4.6 Generalized plasticity -- 4.7 Some examples of plastic computation -- 4.8 Basic formulation of creep problems -- 4.9 Viscoplasticity -- a generalization -- 4.10 Some special problems of brittle materials -- 4.11 Non-uniqueness and localization in elasto-plastic deformations -- 4.12 Non-linear quasi-harmonic field problems -- 4.13 Concluding remarks -- References -- 5. Geometrically non-linear problems -- finite deformation -- 5.1 Introduction -- 5.2 Governing equations -- 5.3 Variational description for finite deformation -- 5.4 Two-dimensional forms -- 5.5 A three-field, mixed finite deformation formulation -- 5.6 A mixed-enhanced finite deformation formulation -- 5.7 Forces dependent on deformation -- pressure loads -- 5.8 Concluding remarks -- References -- 6. Material constitution for finite deformation -- 6.1 Introduction -- 6.2 Isotropic elasticity -- 6.3 Isotropic viscoelasticity -- 6.4 Plasticity models -- 6.5 Incremental formulations -- 6.6 Rate constitutive models -- 6.7 Numerical examples -- 6.8 Concluding remarks -- References -- 7. Treatment of constraints -- contact and tied interfaces -- 7.1 Introduction -- 7.2 Node-node contact: Hertzian contact -- 7.3 Tied interfaces -- 7.4 Node-surface contact -- 7.5 Surface-surface contact -- 7.6 Numerical examples -- 7.7 Concluding remarks -- References -- 8. Pseudo-rigid and rigid-flexible bodies -- 8.1 Introduction -- 8.2 Pseudo-rigid motions -- 8.3 Rigid motions -- 8.4 Connecting a rigid bo |
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