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The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
| The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu |
| Autore | Zienkiewicz O. C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Oxford, UK : , : Butterworth-Heinemann, , [2013] |
| Descrizione fisica | 1 online resource (xxxviii, 714 p.) |
| Disciplina | 620/.00151825 |
| Altri autori (Persone) |
TaylorR. L
ZhuJ. Z |
| Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-85617-630-4
0-08-095135-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Author Biography; Title Page; Copyright; Dedication; Contents; List of Figures; List of Tables; Preface; 1 The Standard Discrete System and Origins of the Finite Element Method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; References; 2 Problems in Linear Elasticity and Fields; 2.1 Introduction; 2.2 Elasticity equations
2.2.1 Displacement function2.2.2 Strain matrix; 2.2.2.1 Strain-displacement matrix; 2.2.2.2 Volume change and deviatoric strain; 2.2.3 Stress matrix; 2.2.3.1 Mean stress and deviatoric stress; 2.2.4 Equilibrium equations; 2.2.4.1 Plane stress and plane strain problems; 2.2.4.2 Axisymmetric problems; 2.2.5 Boundary conditions; 2.2.5.1 Boundary conditions on inclined coordinates; 2.2.5.2 Normal pressure loading; 2.2.5.3 Symmetry and repeatability; 2.2.6 Initial conditions; 2.2.7 Transformation of stress and strain; 2.2.7.1 Energy; 2.2.8 Stress-strain relations: Elasticity matrix 2.2.8.1 Isotropic materials2.2.8.2 Deviatoric and pressure-volume relations; 2.2.8.3 Anisotropic materials; 2.2.8.4 Initial strain-thermal effects; 2.3 General quasi-harmonic equation; 2.3.1 Governing equations: Flux and continuity; 2.3.2 Boundary conditions; 2.3.3 Initial condition; 2.3.4 Constitutive behavior; 2.3.5 Irreducible form in φ; 2.3.6 Anisotropic and isotropic forms for k: Transformations; 2.3.7 Two-dimensional problems; 2.4 Concluding remarks; 2.5 Problems; References; 3 Weak Forms and Finite Element Approximation: 1-D Problems; 3.1 Weak forms 3.2 One-dimensional form of elasticity3.2.1 Weak form of equilibrium equation; 3.2.1.1 Adjoint forms; 3.3 Approximation to integral and weak forms: The weighted residual (Galerkin) method; 3.3.1 Galerkin solution of elasticity equation; 3.4 Finite element solution; 3.4.1 Requirements for finite element approximations; 3.5 Isoparametric form; 3.5.1 Higher order elements: Lagrange interpolation; 3.5.1.1 Linear shape functions; 3.5.1.2 Quadratic shape functions; 3.5.2 Integrals on the parent element: Numerical integration; 3.6 Hierarchical interpolation; 3.7 Axisymmetric one-dimensional problem 3.7.1 Weak form for axisymmetric problem3.7.2 A variational notation; 3.7.3 Irreducible form for axisymmetric problem; 3.7.4 Finite element solution; 3.8 Transient problems; 3.8.1 Discrete time methods; 3.8.1.1 Stability and dissipation; 3.8.2 Semi-discretization of the problem; 3.8.2.1 Stability of modes; 3.9 Weak form for one-dimensional quasi-harmonic equation; 3.9.1 Weak form; 3.9.2 Finite element solution of quasi-harmonic problem; 3.9.3 Transient problems; 3.9.3.1 Stability; 3.10 Concluding remarks; 3.11 Problems; References 4 Variational Forms and Finite Element Approximation: 1-D Problems |
| Record Nr. | UNISA-996426332003316 |
Zienkiewicz O. C
|
||
| Oxford, UK : , : Butterworth-Heinemann, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
| The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu |
| Autore | Zienkiewicz O. C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Oxford, UK : , : Butterworth-Heinemann, , [2013] |
| Descrizione fisica | 1 online resource (xxxviii, 714 p.) |
| Disciplina | 620/.00151825 |
| Altri autori (Persone) |
TaylorR. L
ZhuJ. Z |
| Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-85617-630-4
0-08-095135-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Author Biography; Title Page; Copyright; Dedication; Contents; List of Figures; List of Tables; Preface; 1 The Standard Discrete System and Origins of the Finite Element Method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; References; 2 Problems in Linear Elasticity and Fields; 2.1 Introduction; 2.2 Elasticity equations
2.2.1 Displacement function2.2.2 Strain matrix; 2.2.2.1 Strain-displacement matrix; 2.2.2.2 Volume change and deviatoric strain; 2.2.3 Stress matrix; 2.2.3.1 Mean stress and deviatoric stress; 2.2.4 Equilibrium equations; 2.2.4.1 Plane stress and plane strain problems; 2.2.4.2 Axisymmetric problems; 2.2.5 Boundary conditions; 2.2.5.1 Boundary conditions on inclined coordinates; 2.2.5.2 Normal pressure loading; 2.2.5.3 Symmetry and repeatability; 2.2.6 Initial conditions; 2.2.7 Transformation of stress and strain; 2.2.7.1 Energy; 2.2.8 Stress-strain relations: Elasticity matrix 2.2.8.1 Isotropic materials2.2.8.2 Deviatoric and pressure-volume relations; 2.2.8.3 Anisotropic materials; 2.2.8.4 Initial strain-thermal effects; 2.3 General quasi-harmonic equation; 2.3.1 Governing equations: Flux and continuity; 2.3.2 Boundary conditions; 2.3.3 Initial condition; 2.3.4 Constitutive behavior; 2.3.5 Irreducible form in φ; 2.3.6 Anisotropic and isotropic forms for k: Transformations; 2.3.7 Two-dimensional problems; 2.4 Concluding remarks; 2.5 Problems; References; 3 Weak Forms and Finite Element Approximation: 1-D Problems; 3.1 Weak forms 3.2 One-dimensional form of elasticity3.2.1 Weak form of equilibrium equation; 3.2.1.1 Adjoint forms; 3.3 Approximation to integral and weak forms: The weighted residual (Galerkin) method; 3.3.1 Galerkin solution of elasticity equation; 3.4 Finite element solution; 3.4.1 Requirements for finite element approximations; 3.5 Isoparametric form; 3.5.1 Higher order elements: Lagrange interpolation; 3.5.1.1 Linear shape functions; 3.5.1.2 Quadratic shape functions; 3.5.2 Integrals on the parent element: Numerical integration; 3.6 Hierarchical interpolation; 3.7 Axisymmetric one-dimensional problem 3.7.1 Weak form for axisymmetric problem3.7.2 A variational notation; 3.7.3 Irreducible form for axisymmetric problem; 3.7.4 Finite element solution; 3.8 Transient problems; 3.8.1 Discrete time methods; 3.8.1.1 Stability and dissipation; 3.8.2 Semi-discretization of the problem; 3.8.2.1 Stability of modes; 3.9 Weak form for one-dimensional quasi-harmonic equation; 3.9.1 Weak form; 3.9.2 Finite element solution of quasi-harmonic problem; 3.9.3 Transient problems; 3.9.3.1 Stability; 3.10 Concluding remarks; 3.11 Problems; References 4 Variational Forms and Finite Element Approximation: 1-D Problems |
| Record Nr. | UNINA-9910452742803321 |
|
Zienkiewicz O. C
|
||
| Oxford, UK : , : Butterworth-Heinemann, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, CBE, FRS, Previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Previously Director of the Institute for Numerical Methods in Engineering, University of Wales, Swansea, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, California, J.Z. Zhu, Senior Scientist, ESI US R & D, 9891 Broken Land Parkway, Suite 200, Columbia, Maryland
| The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, CBE, FRS, Previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Previously Director of the Institute for Numerical Methods in Engineering, University of Wales, Swansea, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, California, J.Z. Zhu, Senior Scientist, ESI US R & D, 9891 Broken Land Parkway, Suite 200, Columbia, Maryland |
| Autore | Zienkiewicz O. C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2013 |
| Descrizione fisica | 1 online resource (xxxviii, 714 pages) : illustrations (some color) |
| Disciplina | 620/.00151825 |
| Collana | Gale eBooks |
| Soggetto topico |
Finite element method
Fluid dynamics |
| ISBN |
1-85617-630-4
0-08-095135-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Author Biography; Title Page; Copyright; Dedication; Contents; List of Figures; List of Tables; Preface; 1 The Standard Discrete System and Origins of the Finite Element Method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; References; 2 Problems in Linear Elasticity and Fields; 2.1 Introduction; 2.2 Elasticity equations
2.2.1 Displacement function2.2.2 Strain matrix; 2.2.2.1 Strain-displacement matrix; 2.2.2.2 Volume change and deviatoric strain; 2.2.3 Stress matrix; 2.2.3.1 Mean stress and deviatoric stress; 2.2.4 Equilibrium equations; 2.2.4.1 Plane stress and plane strain problems; 2.2.4.2 Axisymmetric problems; 2.2.5 Boundary conditions; 2.2.5.1 Boundary conditions on inclined coordinates; 2.2.5.2 Normal pressure loading; 2.2.5.3 Symmetry and repeatability; 2.2.6 Initial conditions; 2.2.7 Transformation of stress and strain; 2.2.7.1 Energy; 2.2.8 Stress-strain relations: Elasticity matrix 2.2.8.1 Isotropic materials2.2.8.2 Deviatoric and pressure-volume relations; 2.2.8.3 Anisotropic materials; 2.2.8.4 Initial strain-thermal effects; 2.3 General quasi-harmonic equation; 2.3.1 Governing equations: Flux and continuity; 2.3.2 Boundary conditions; 2.3.3 Initial condition; 2.3.4 Constitutive behavior; 2.3.5 Irreducible form in φ; 2.3.6 Anisotropic and isotropic forms for k: Transformations; 2.3.7 Two-dimensional problems; 2.4 Concluding remarks; 2.5 Problems; References; 3 Weak Forms and Finite Element Approximation: 1-D Problems; 3.1 Weak forms 3.2 One-dimensional form of elasticity3.2.1 Weak form of equilibrium equation; 3.2.1.1 Adjoint forms; 3.3 Approximation to integral and weak forms: The weighted residual (Galerkin) method; 3.3.1 Galerkin solution of elasticity equation; 3.4 Finite element solution; 3.4.1 Requirements for finite element approximations; 3.5 Isoparametric form; 3.5.1 Higher order elements: Lagrange interpolation; 3.5.1.1 Linear shape functions; 3.5.1.2 Quadratic shape functions; 3.5.2 Integrals on the parent element: Numerical integration; 3.6 Hierarchical interpolation; 3.7 Axisymmetric one-dimensional problem 3.7.1 Weak form for axisymmetric problem3.7.2 A variational notation; 3.7.3 Irreducible form for axisymmetric problem; 3.7.4 Finite element solution; 3.8 Transient problems; 3.8.1 Discrete time methods; 3.8.1.1 Stability and dissipation; 3.8.2 Semi-discretization of the problem; 3.8.2.1 Stability of modes; 3.9 Weak form for one-dimensional quasi-harmonic equation; 3.9.1 Weak form; 3.9.2 Finite element solution of quasi-harmonic problem; 3.9.3 Transient problems; 3.9.3.1 Stability; 3.10 Concluding remarks; 3.11 Problems; References 4 Variational Forms and Finite Element Approximation: 1-D Problems |
| Record Nr. | UNINA-9910790427003321 |
|
Zienkiewicz O. C
|
||
| Oxford : , : Butterworth-Heinemann, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, CBE, FRS, Previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Previously Director of the Institute for Numerical Methods in Engineering, University of Wales, Swansea, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, California, J.Z. Zhu, Senior Scientist, ESI US R & D, 9891 Broken Land Parkway, Suite 200, Columbia, Maryland
| The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, CBE, FRS, Previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Previously Director of the Institute for Numerical Methods in Engineering, University of Wales, Swansea, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, California, J.Z. Zhu, Senior Scientist, ESI US R & D, 9891 Broken Land Parkway, Suite 200, Columbia, Maryland |
| Autore | Zienkiewicz O. C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2013 |
| Descrizione fisica | 1 online resource (xxxviii, 714 pages) : illustrations (some color) |
| Disciplina | 620/.00151825 |
| Collana | Gale eBooks |
| Soggetto topico |
Finite element method
Fluid dynamics |
| ISBN |
1-85617-630-4
0-08-095135-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Author Biography; Title Page; Copyright; Dedication; Contents; List of Figures; List of Tables; Preface; 1 The Standard Discrete System and Origins of the Finite Element Method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; References; 2 Problems in Linear Elasticity and Fields; 2.1 Introduction; 2.2 Elasticity equations
2.2.1 Displacement function2.2.2 Strain matrix; 2.2.2.1 Strain-displacement matrix; 2.2.2.2 Volume change and deviatoric strain; 2.2.3 Stress matrix; 2.2.3.1 Mean stress and deviatoric stress; 2.2.4 Equilibrium equations; 2.2.4.1 Plane stress and plane strain problems; 2.2.4.2 Axisymmetric problems; 2.2.5 Boundary conditions; 2.2.5.1 Boundary conditions on inclined coordinates; 2.2.5.2 Normal pressure loading; 2.2.5.3 Symmetry and repeatability; 2.2.6 Initial conditions; 2.2.7 Transformation of stress and strain; 2.2.7.1 Energy; 2.2.8 Stress-strain relations: Elasticity matrix 2.2.8.1 Isotropic materials2.2.8.2 Deviatoric and pressure-volume relations; 2.2.8.3 Anisotropic materials; 2.2.8.4 Initial strain-thermal effects; 2.3 General quasi-harmonic equation; 2.3.1 Governing equations: Flux and continuity; 2.3.2 Boundary conditions; 2.3.3 Initial condition; 2.3.4 Constitutive behavior; 2.3.5 Irreducible form in φ; 2.3.6 Anisotropic and isotropic forms for k: Transformations; 2.3.7 Two-dimensional problems; 2.4 Concluding remarks; 2.5 Problems; References; 3 Weak Forms and Finite Element Approximation: 1-D Problems; 3.1 Weak forms 3.2 One-dimensional form of elasticity3.2.1 Weak form of equilibrium equation; 3.2.1.1 Adjoint forms; 3.3 Approximation to integral and weak forms: The weighted residual (Galerkin) method; 3.3.1 Galerkin solution of elasticity equation; 3.4 Finite element solution; 3.4.1 Requirements for finite element approximations; 3.5 Isoparametric form; 3.5.1 Higher order elements: Lagrange interpolation; 3.5.1.1 Linear shape functions; 3.5.1.2 Quadratic shape functions; 3.5.2 Integrals on the parent element: Numerical integration; 3.6 Hierarchical interpolation; 3.7 Axisymmetric one-dimensional problem 3.7.1 Weak form for axisymmetric problem3.7.2 A variational notation; 3.7.3 Irreducible form for axisymmetric problem; 3.7.4 Finite element solution; 3.8 Transient problems; 3.8.1 Discrete time methods; 3.8.1.1 Stability and dissipation; 3.8.2 Semi-discretization of the problem; 3.8.2.1 Stability of modes; 3.9 Weak form for one-dimensional quasi-harmonic equation; 3.9.1 Weak form; 3.9.2 Finite element solution of quasi-harmonic problem; 3.9.3 Transient problems; 3.9.3.1 Stability; 3.10 Concluding remarks; 3.11 Problems; References 4 Variational Forms and Finite Element Approximation: 1-D Problems |
| Record Nr. | UNINA-9910821662803321 |
|
Zienkiewicz O. C
|
||
| Oxford : , : Butterworth-Heinemann, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method [[electronic resource] ] : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
| The finite element method [[electronic resource] ] : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu |
| Autore | Zienkiewicz O. C |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier Butterworth-Heinemann, 2005 |
| Descrizione fisica | 1 online resource (753 p.) |
| Disciplina | 620.00151825 |
| Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
ZhuJ. Z ZienkiewiczO. C |
| Soggetto topico |
Finite element method
Engineering mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-01652-7
9786611016524 0-08-047277-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method: Its Basis and Fundamentals; Copyright Page; Contents; Preface; Chapter 1. The standard discrete system and origins of the finite element method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; Chapter 2. A direct physical approach to problems in elasticity: plane stress; 2.1 Introduction
2.2 Direct formulation of finite element characteristics 2.3 Generalization to the whole region- internal nodal force concept abandoned; 2.4 Displacement approach as a minimization of total potential energy; 2.5 Convergence criteria; 2.6 Discretization error and convergence rate; 2.7 Displacement functions with discontinuity between elements - non-conforming elements and the patch test; 2.8 Finite element solution process; 2.9 Numerical examples; 2.10 Concluding remarks; 2.11 Problems Chapter 3. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches 3.1 Introduction; 3.2 Integral or 'weak' statements equivalent to the differential equations; 3.3 Approximation to integral formulations: the weighted residual-Galerkin method; 3.4 Virtual work as the 'weak form' of equilibrium equations for analysis of solids or fluids; 3.5 Partial discretization; 3.6 Convergence; 3.7 What are 'variational principles'?; 3.8 'Natural' variational principles and their relation to governing differential equations 3.9 Establishment of natural variational principles for linear, self-adjoint, differential equations 3.10 Maximum, minimum, or a saddle point?; 3.11 Constrained variational principles. Lagrange multipliers; 3.12 Constrained variational principles. Penalty function and perturbed lagrangian methods; 3.13 Least squares approximations; 3.14 Concluding remarks - finite difference and boundary methods; 3.15 Problems; Chapter 4. 'Standard' and 'hierarchical' element shape functions: some general families of C0 continuity; 4.1 Introduction; 4.2 Standard and hierarchical concepts 4.3 Rectangular elements- some preliminary considerations 4.4 Completeness of polynomials; 4.5 Rectangular elements- Lagrange family; 4.6 Rectangular elements- 'serendipity' family; 4.7 Triangular element family; 4.8 Line elements; 4.9 Rectangular prisms - Lagrange family; 4.10 Rectangular prisms - 'serendipity' family; 4.11 Tetrahedral elements; 4.12 Other simple three-dimensional elements; 4.13 Hierarchic polynomials in one dimension; 4.14 Two- and three-dimensional, hierarchical elements of the 'rectangle' or 'brick' type; 4.15 Triangle and tetrahedron family 4.16 Improvement of conditioning with hierarchical forms |
| Record Nr. | UNINA-9910457665903321 |
|
Zienkiewicz O. C
|
||
| Amsterdam ; ; London, : Elsevier Butterworth-Heinemann, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method [[electronic resource] ] : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
| The finite element method [[electronic resource] ] : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu |
| Autore | Zienkiewicz O. C |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier Butterworth-Heinemann, 2005 |
| Descrizione fisica | 1 online resource (753 p.) |
| Disciplina | 620.00151825 |
| Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
ZhuJ. Z ZienkiewiczO. C |
| Soggetto topico |
Finite element method
Engineering mathematics |
| ISBN |
1-281-01652-7
9786611016524 0-08-047277-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method: Its Basis and Fundamentals; Copyright Page; Contents; Preface; Chapter 1. The standard discrete system and origins of the finite element method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; Chapter 2. A direct physical approach to problems in elasticity: plane stress; 2.1 Introduction
2.2 Direct formulation of finite element characteristics 2.3 Generalization to the whole region- internal nodal force concept abandoned; 2.4 Displacement approach as a minimization of total potential energy; 2.5 Convergence criteria; 2.6 Discretization error and convergence rate; 2.7 Displacement functions with discontinuity between elements - non-conforming elements and the patch test; 2.8 Finite element solution process; 2.9 Numerical examples; 2.10 Concluding remarks; 2.11 Problems Chapter 3. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches 3.1 Introduction; 3.2 Integral or 'weak' statements equivalent to the differential equations; 3.3 Approximation to integral formulations: the weighted residual-Galerkin method; 3.4 Virtual work as the 'weak form' of equilibrium equations for analysis of solids or fluids; 3.5 Partial discretization; 3.6 Convergence; 3.7 What are 'variational principles'?; 3.8 'Natural' variational principles and their relation to governing differential equations 3.9 Establishment of natural variational principles for linear, self-adjoint, differential equations 3.10 Maximum, minimum, or a saddle point?; 3.11 Constrained variational principles. Lagrange multipliers; 3.12 Constrained variational principles. Penalty function and perturbed lagrangian methods; 3.13 Least squares approximations; 3.14 Concluding remarks - finite difference and boundary methods; 3.15 Problems; Chapter 4. 'Standard' and 'hierarchical' element shape functions: some general families of C0 continuity; 4.1 Introduction; 4.2 Standard and hierarchical concepts 4.3 Rectangular elements- some preliminary considerations 4.4 Completeness of polynomials; 4.5 Rectangular elements- Lagrange family; 4.6 Rectangular elements- 'serendipity' family; 4.7 Triangular element family; 4.8 Line elements; 4.9 Rectangular prisms - Lagrange family; 4.10 Rectangular prisms - 'serendipity' family; 4.11 Tetrahedral elements; 4.12 Other simple three-dimensional elements; 4.13 Hierarchic polynomials in one dimension; 4.14 Two- and three-dimensional, hierarchical elements of the 'rectangle' or 'brick' type; 4.15 Triangle and tetrahedron family 4.16 Improvement of conditioning with hierarchical forms |
| Record Nr. | UNINA-9910784446703321 |
|
Zienkiewicz O. C
|
||
| Amsterdam ; ; London, : Elsevier Butterworth-Heinemann, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method [[electronic resource] ] : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
| The finite element method [[electronic resource] ] : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu |
| Autore | Zienkiewicz O. C |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier Butterworth-Heinemann, 2005 |
| Descrizione fisica | 1 online resource (753 p.) |
| Disciplina | 620.00151825 |
| Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
ZhuJ. Z ZienkiewiczO. C |
| Soggetto topico |
Finite element method
Engineering mathematics |
| ISBN |
1-281-01652-7
9786611016524 0-08-047277-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method: Its Basis and Fundamentals; Copyright Page; Contents; Preface; Chapter 1. The standard discrete system and origins of the finite element method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; Chapter 2. A direct physical approach to problems in elasticity: plane stress; 2.1 Introduction
2.2 Direct formulation of finite element characteristics 2.3 Generalization to the whole region- internal nodal force concept abandoned; 2.4 Displacement approach as a minimization of total potential energy; 2.5 Convergence criteria; 2.6 Discretization error and convergence rate; 2.7 Displacement functions with discontinuity between elements - non-conforming elements and the patch test; 2.8 Finite element solution process; 2.9 Numerical examples; 2.10 Concluding remarks; 2.11 Problems Chapter 3. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches 3.1 Introduction; 3.2 Integral or 'weak' statements equivalent to the differential equations; 3.3 Approximation to integral formulations: the weighted residual-Galerkin method; 3.4 Virtual work as the 'weak form' of equilibrium equations for analysis of solids or fluids; 3.5 Partial discretization; 3.6 Convergence; 3.7 What are 'variational principles'?; 3.8 'Natural' variational principles and their relation to governing differential equations 3.9 Establishment of natural variational principles for linear, self-adjoint, differential equations 3.10 Maximum, minimum, or a saddle point?; 3.11 Constrained variational principles. Lagrange multipliers; 3.12 Constrained variational principles. Penalty function and perturbed lagrangian methods; 3.13 Least squares approximations; 3.14 Concluding remarks - finite difference and boundary methods; 3.15 Problems; Chapter 4. 'Standard' and 'hierarchical' element shape functions: some general families of C0 continuity; 4.1 Introduction; 4.2 Standard and hierarchical concepts 4.3 Rectangular elements- some preliminary considerations 4.4 Completeness of polynomials; 4.5 Rectangular elements- Lagrange family; 4.6 Rectangular elements- 'serendipity' family; 4.7 Triangular element family; 4.8 Line elements; 4.9 Rectangular prisms - Lagrange family; 4.10 Rectangular prisms - 'serendipity' family; 4.11 Tetrahedral elements; 4.12 Other simple three-dimensional elements; 4.13 Hierarchic polynomials in one dimension; 4.14 Two- and three-dimensional, hierarchical elements of the 'rectangle' or 'brick' type; 4.15 Triangle and tetrahedron family 4.16 Improvement of conditioning with hierarchical forms |
| Record Nr. | UNINA-9910825026503321 |
|
Zienkiewicz O. C
|
||
| Amsterdam ; ; London, : Elsevier Butterworth-Heinemann, 2005 | ||
| 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
| 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
| 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
| 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 | ||
| ||
