The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
Autore | Zienkiewicz O. C |
Edizione | [6th ed.] |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 |
Descrizione fisica | 1 online resource (457 p.) |
Disciplina | 620.10601515353 |
Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
NithiarasuPerumal ZienkiewiczO. C |
Soggetto topico |
Finite element method
Mechanics, Applied Fluid dynamics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-63895-8
9786610638956 0-08-045559-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Introduction to the equations of fluid dynamics and the finite element approximation; 1.1 General remarks and classification of fluid dynamics problems discussed in this book; 1.2 The governing equations of fluid dynamics; 1.3 Inviscid, incompressible flow; 1.4 Incompressible (or nearly incompressible) flows; 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation; 1.6 Concluding remarks; References
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 Introduction; 2.2 The steady-state problem in one dimension; 2.3 The steady-state problem in two (or three) dimensions; 2.4 Steady state - concluding remarks; 2.5 Transients - introductory remarks; 2.6 Characteristic-based methods; 2.7 Taylor-Galerkin procedures for scalar variables; 2.8 Steady-state condition; 2.9 Non-linear waves and shocks; 2.10 Treatment of pure convection; 2.11 Boundary conditions for convection-diffusion; 2.12 Summary and concluding remarks ReferencesChapter 3. The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow; 3.1 Introduction; 3.2 Non-dimensional form of the governing equations; 3.3 Characteristic-based split (CBS) algorithm; 3.4 Explicit, semi-implicit and nearly implicit forms; 3.5 Artificial compressibility and dual time stepping; 3.6 'Circumvention' of the Babuška-Brezzi (BB)restrictions; 3.7 A single-step version; 3.8 Boundary conditions; 3.9 The performance of two-step and one-step algorithms on an inviscid problem; 3.10 Concluding remarks; References Chapter 4. Incompressible Newtonian laminar flows4.1 Introduction and the basic equations; 4.2 Use of the CBS algorithm for incompressible flows; 4.3 Adaptive mesh refinement; 4.4 Adaptive mesh generation for transient problems; 4.5 Slow flows - mixed and penalty formulations; 4.6 Concluding remarks; References; Chapter 5. Incompressible non-Newtonian flows; 5.1 Introduction; 5.2 Non-Newtonian flows - metal and polymer forming; 5.3 Viscoelastic flows; 5.4 Direct displacement approach to transient metal forming; 5.5 Concluding remarks; References Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 7. Compressible high-speed gas flow; 7.1 Introduction; 7.2 The governing equations; 7.3 Boundary conditions - subsonic and supersonic flow; 7.4 Numerical approximations and the CBS algorithm; 7.5 Shock capture; 7.6 Variable smoothing; 7.7 Some preliminary examples for the Euler equation; 7.8 Adaptive refinement and shock capture in Euler problems; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
Record Nr. | UNINA-9910457669703321 |
Zienkiewicz O. C | ||
Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
Autore | Zienkiewicz O. C |
Edizione | [6th ed.] |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 |
Descrizione fisica | 1 online resource (457 p.) |
Disciplina | 620.10601515353 |
Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
NithiarasuPerumal ZienkiewiczO. C |
Soggetto topico |
Finite element method
Mechanics, Applied Fluid dynamics |
ISBN |
1-280-63895-8
9786610638956 0-08-045559-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Introduction to the equations of fluid dynamics and the finite element approximation; 1.1 General remarks and classification of fluid dynamics problems discussed in this book; 1.2 The governing equations of fluid dynamics; 1.3 Inviscid, incompressible flow; 1.4 Incompressible (or nearly incompressible) flows; 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation; 1.6 Concluding remarks; References
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 Introduction; 2.2 The steady-state problem in one dimension; 2.3 The steady-state problem in two (or three) dimensions; 2.4 Steady state - concluding remarks; 2.5 Transients - introductory remarks; 2.6 Characteristic-based methods; 2.7 Taylor-Galerkin procedures for scalar variables; 2.8 Steady-state condition; 2.9 Non-linear waves and shocks; 2.10 Treatment of pure convection; 2.11 Boundary conditions for convection-diffusion; 2.12 Summary and concluding remarks ReferencesChapter 3. The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow; 3.1 Introduction; 3.2 Non-dimensional form of the governing equations; 3.3 Characteristic-based split (CBS) algorithm; 3.4 Explicit, semi-implicit and nearly implicit forms; 3.5 Artificial compressibility and dual time stepping; 3.6 'Circumvention' of the Babuška-Brezzi (BB)restrictions; 3.7 A single-step version; 3.8 Boundary conditions; 3.9 The performance of two-step and one-step algorithms on an inviscid problem; 3.10 Concluding remarks; References Chapter 4. Incompressible Newtonian laminar flows4.1 Introduction and the basic equations; 4.2 Use of the CBS algorithm for incompressible flows; 4.3 Adaptive mesh refinement; 4.4 Adaptive mesh generation for transient problems; 4.5 Slow flows - mixed and penalty formulations; 4.6 Concluding remarks; References; Chapter 5. Incompressible non-Newtonian flows; 5.1 Introduction; 5.2 Non-Newtonian flows - metal and polymer forming; 5.3 Viscoelastic flows; 5.4 Direct displacement approach to transient metal forming; 5.5 Concluding remarks; References Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 7. Compressible high-speed gas flow; 7.1 Introduction; 7.2 The governing equations; 7.3 Boundary conditions - subsonic and supersonic flow; 7.4 Numerical approximations and the CBS algorithm; 7.5 Shock capture; 7.6 Variable smoothing; 7.7 Some preliminary examples for the Euler equation; 7.8 Adaptive refinement and shock capture in Euler problems; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
Record Nr. | UNINA-9910784446803321 |
Zienkiewicz O. C | ||
Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
Autore | Zienkiewicz O. C |
Edizione | [6th ed.] |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 |
Descrizione fisica | 1 online resource (457 p.) |
Disciplina | 620.10601515353 |
Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
NithiarasuPerumal ZienkiewiczO. C |
Soggetto topico |
Finite element method
Mechanics, Applied Fluid dynamics |
ISBN |
1-280-63895-8
9786610638956 0-08-045559-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Introduction to the equations of fluid dynamics and the finite element approximation; 1.1 General remarks and classification of fluid dynamics problems discussed in this book; 1.2 The governing equations of fluid dynamics; 1.3 Inviscid, incompressible flow; 1.4 Incompressible (or nearly incompressible) flows; 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation; 1.6 Concluding remarks; References
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 Introduction; 2.2 The steady-state problem in one dimension; 2.3 The steady-state problem in two (or three) dimensions; 2.4 Steady state - concluding remarks; 2.5 Transients - introductory remarks; 2.6 Characteristic-based methods; 2.7 Taylor-Galerkin procedures for scalar variables; 2.8 Steady-state condition; 2.9 Non-linear waves and shocks; 2.10 Treatment of pure convection; 2.11 Boundary conditions for convection-diffusion; 2.12 Summary and concluding remarks ReferencesChapter 3. The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow; 3.1 Introduction; 3.2 Non-dimensional form of the governing equations; 3.3 Characteristic-based split (CBS) algorithm; 3.4 Explicit, semi-implicit and nearly implicit forms; 3.5 Artificial compressibility and dual time stepping; 3.6 'Circumvention' of the Babuška-Brezzi (BB)restrictions; 3.7 A single-step version; 3.8 Boundary conditions; 3.9 The performance of two-step and one-step algorithms on an inviscid problem; 3.10 Concluding remarks; References Chapter 4. Incompressible Newtonian laminar flows4.1 Introduction and the basic equations; 4.2 Use of the CBS algorithm for incompressible flows; 4.3 Adaptive mesh refinement; 4.4 Adaptive mesh generation for transient problems; 4.5 Slow flows - mixed and penalty formulations; 4.6 Concluding remarks; References; Chapter 5. Incompressible non-Newtonian flows; 5.1 Introduction; 5.2 Non-Newtonian flows - metal and polymer forming; 5.3 Viscoelastic flows; 5.4 Direct displacement approach to transient metal forming; 5.5 Concluding remarks; References Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 7. Compressible high-speed gas flow; 7.1 Introduction; 7.2 The governing equations; 7.3 Boundary conditions - subsonic and supersonic flow; 7.4 Numerical approximations and the CBS algorithm; 7.5 Shock capture; 7.6 Variable smoothing; 7.7 Some preliminary examples for the Euler equation; 7.8 Adaptive refinement and shock capture in Euler problems; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
Record Nr. | UNINA-9910815968403321 |
Zienkiewicz O. C | ||
Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The finite element method for fluid dynamics / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
Autore | Zienkiewicz, Olgierd Cecil |
Edizione | [6th ed.] |
Pubbl/distr/stampa | Amsterdam ; Boston : Elsevier Butterworth-Heinemann, c2005 |
Descrizione fisica | xii, 435 p. : ill. : 26 cm. |
Disciplina | 624.171 |
Altri autori (Persone) |
Taylor, Robert L. (Robert Leroy), 1934-
Nithiarasu, Perumalauthor |
Soggetto topico |
Finite element method
Mechanics, Applied Fluid dynamics |
ISBN | 0750663227 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003909049707536 |
Zienkiewicz, Olgierd Cecil | ||
Amsterdam ; Boston : Elsevier Butterworth-Heinemann, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
The finite element method for mechanics of solids with ANSYS applications / Ellis H. Dill |
Autore | Dill, Ellis Harold, 1932- |
Pubbl/distr/stampa | Boca Raton, Fla. : CRC Press, c2012 |
Descrizione fisica | xv, 492 p. : ill ; 25 cm |
Disciplina | 620.001 |
Collana | Advances in engineering series |
Soggetto topico |
Continuum mechanics
Finite element method Engineering mathematics |
ISBN | 9781439845837 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991002010989707536 |
Dill, Ellis Harold, 1932- | ||
Boca Raton, Fla. : CRC Press, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
The finite element method for solid & structural mechanics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, D.D. Fox |
Autore | Zienkiewicz O. C |
Edizione | [Seventh edition.] |
Pubbl/distr/stampa | Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014 |
Descrizione fisica | 1 online resource (xxxi, 624 p.) |
Disciplina | 624.1/71 |
Altri autori (Persone) |
TaylorR. L
FoxD. D |
Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
Soggetto genere / forma | Electronic books. |
ISBN | 0-08-095136-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910453687103321 |
Zienkiewicz O. C | ||
Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The finite element method for solid and structural mechanics / / O.C. Zienkiewicz, CBE, FRS, previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Spain, previously Director of the Institute for Numerical Methods in Engineering, University of Whales, Swansea, UK, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, CA, USA, D.D. Fox, Dassault Systemes SIMULIA, Providence, RI, USA |
Autore | Zienkiewicz O. C |
Edizione | [Seventh edition.] |
Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2014 |
Descrizione fisica | 1 online resource (xxxi, 624 pages) : illustrations (some color) |
Disciplina | 624.1/71 |
Collana | Gale eBooks |
Soggetto topico |
Continuum mechanics - Mathematics
Structural analysis (Engineering) - Mathematics Finite element method |
ISBN | 9780080951362 (electronic bk) |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | chapter 1. General problems in solid mechanics and nonlinearity -- chapter 2. Galerkin method of approximation : irreducible and mixed forms -- chapter 3. Solution of nonlinear algebraic equations -- chapter 4. Inelastic and nonlinear materials -- chapter 5. Geometrically nonlinear problems : finite deformation -- chapter 6. Material constitution for finite deformation -- chapter 7. Material constitution using representative volume elements -- chapter 8. Treatment of constraints : contact and tied interfaces -- chapter 9. Pseudo-rigid and rigid-flexible bodies -- chapter 10. Background mathematics and linear shell theory -- chapter 11. Differential geometry and calculus on manifolds -- chapter 12. Geometrically nonlinear problems in continuum mechanics -- chapter 13. A nonlinear geometrically exact rod model -- chapter 14. A nonlinear geometrically exact shell model -- chapter 15. Computer procedures for finite element analysis. |
Record Nr. | UNINA-9910790765503321 |
Zienkiewicz O. C | ||
Oxford : , : Butterworth-Heinemann, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The finite element method for solid and structural mechanics / / O.C. Zienkiewicz, CBE, FRS, previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Spain, previously Director of the Institute for Numerical Methods in Engineering, University of Whales, Swansea, UK, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, CA, USA, D.D. Fox, Dassault Systemes SIMULIA, Providence, RI, USA |
Autore | Zienkiewicz O. C |
Edizione | [Seventh edition.] |
Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2014 |
Descrizione fisica | 1 online resource (xxxi, 624 pages) : illustrations (some color) |
Disciplina | 624.1/71 |
Collana | Gale eBooks |
Soggetto topico |
Continuum mechanics - Mathematics
Structural analysis (Engineering) - Mathematics Finite element method |
ISBN | 9780080951362 (electronic bk) |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | chapter 1. General problems in solid mechanics and nonlinearity -- chapter 2. Galerkin method of approximation : irreducible and mixed forms -- chapter 3. Solution of nonlinear algebraic equations -- chapter 4. Inelastic and nonlinear materials -- chapter 5. Geometrically nonlinear problems : finite deformation -- chapter 6. Material constitution for finite deformation -- chapter 7. Material constitution using representative volume elements -- chapter 8. Treatment of constraints : contact and tied interfaces -- chapter 9. Pseudo-rigid and rigid-flexible bodies -- chapter 10. Background mathematics and linear shell theory -- chapter 11. Differential geometry and calculus on manifolds -- chapter 12. Geometrically nonlinear problems in continuum mechanics -- chapter 13. A nonlinear geometrically exact rod model -- chapter 14. A nonlinear geometrically exact shell model -- chapter 15. Computer procedures for finite element analysis. |
Record Nr. | UNINA-9910823118603321 |
Zienkiewicz O. C | ||
Oxford : , : Butterworth-Heinemann, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The finite element method for solid and structural mechanics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor |
Autore | Zienkiewicz O. C |
Edizione | [6th ed.] |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, 2005 |
Descrizione fisica | 1 online resource (653 p.) |
Disciplina | 624.1/71 |
Altri autori (Persone) | TaylorRobert L <1934-> (Robert Leroy) |
Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-63894-X
9786610638949 0-08-045558-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; The Finite Element Method for Solid and Structural Mechanics; Copyright Page; Contents; Preface; Chapter 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; Chapter 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 problems2.5 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; Chapter 3. Solution of non-linear algebraic equations; 3.1 Introduction; 3.2 Iterative techniques; 3.3 General remarks - incremental and rate methods; References; Chapter 4. Inelastic and non-linear materials; 4.1 Introduction; 4.2 Viscoelasticity - history dependence of deformation 4.3 Classical time-independent plasticity theory4.4 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; Chapter 5. Geometrically non-linear problems - finite deformation; 5.1 Introduction; 5.2 Governing equations 5.3 Variational description for finite deformation5.4 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; Chapter 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 Chapter 7. Treatment of constraints - contact and tied interfaces7.1 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; Chapter 8. Pseudo-rigid and rigid-flexible bodies; 8.1 Introduction; 8.2 Pseudo-rigid motions; 8.3 Rigid motions; 8.4 Connecting a rigid body to a flexible body; 8.5 Multibody coupling by joints; 8.6 Numerical examples; References; Chapter 9. Discrete element methods; 9.1 Introduction; 9.2 Early DEM formulations; 9.3 Contact detection 9.4 Contact constraints and boundary conditions |
Record Nr. | UNINA-9910457666703321 |
Zienkiewicz O. C | ||
Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, 2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The finite element method for solid and structural mechanics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor |
Autore | Zienkiewicz O. C |
Edizione | [6th ed.] |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, 2005 |
Descrizione fisica | 1 online resource (653 p.) |
Disciplina | 624.1/71 |
Altri autori (Persone) | TaylorRobert L <1934-> (Robert Leroy) |
Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
ISBN |
1-280-63894-X
9786610638949 0-08-045558-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; The Finite Element Method for Solid and Structural Mechanics; Copyright Page; Contents; Preface; Chapter 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; Chapter 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 problems2.5 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; Chapter 3. Solution of non-linear algebraic equations; 3.1 Introduction; 3.2 Iterative techniques; 3.3 General remarks - incremental and rate methods; References; Chapter 4. Inelastic and non-linear materials; 4.1 Introduction; 4.2 Viscoelasticity - history dependence of deformation 4.3 Classical time-independent plasticity theory4.4 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; Chapter 5. Geometrically non-linear problems - finite deformation; 5.1 Introduction; 5.2 Governing equations 5.3 Variational description for finite deformation5.4 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; Chapter 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 Chapter 7. Treatment of constraints - contact and tied interfaces7.1 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; Chapter 8. Pseudo-rigid and rigid-flexible bodies; 8.1 Introduction; 8.2 Pseudo-rigid motions; 8.3 Rigid motions; 8.4 Connecting a rigid body to a flexible body; 8.5 Multibody coupling by joints; 8.6 Numerical examples; References; Chapter 9. Discrete element methods; 9.1 Introduction; 9.2 Early DEM formulations; 9.3 Contact detection 9.4 Contact constraints and boundary conditions |
Record Nr. | UNINA-9910784446903321 |
Zienkiewicz O. C | ||
Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, 2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|