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Finite element analysis with error estimators [e-book] : an introduction to the FEM and adaptive error analysis for engineering students / J.E. Akin
| Finite element analysis with error estimators [e-book] : an introduction to the FEM and adaptive error analysis for engineering students / J.E. Akin |
| Autore | Akin, J. E. |
| Pubbl/distr/stampa | Amsterdam ; Boston : Elsevier/Butterworth-Heinemann, 2005 |
| Descrizione fisica | xviii, 447 p. : ill. ; 25 cm |
| Disciplina | 620.00151825 |
| Soggetto topico |
Finite element method
Structural analysis (Engineering) Error analysis (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
9780750667227
0750667222 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction, Mathematical Premliminaries, Element Interpolation and Local Coordinates, One-Dimensional Integration, Error Estimation for Elliptic Problems, Super-convergent Patch Recovery, Variational Methods, Cylindrical Analysis Problems, General Interpolation, Integration Methods, Scalar Fields, Vector Fields, Index, Solutions Manual |
| Record Nr. | UNISALENTO-991003229189707536 |
Akin, J. E.
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| Amsterdam ; Boston : Elsevier/Butterworth-Heinemann, 2005 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
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 | ||
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The finite element method [e-book] / O.C. Zienkiewicz, R.L. Taylor
| The finite element method [e-book] / O.C. Zienkiewicz, R.L. Taylor |
| Autore | Zienkiewicz, Olgierd Cecil |
| Edizione | [5th ed.] |
| Pubbl/distr/stampa | Oxford ; Boston : Butterworth-Heinemann, 2000 |
| Descrizione fisica | 3 v. : ill. ; 26 cm |
| Disciplina | 624.17 |
| Altri autori (Persone) | Taylor, Robert L. (Robert Leroy), <1934- > |
| Altri autori (Enti) | Elsevier Science Publishers |
| Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
| Soggetto genere / forma | Electronic books. |
| Formato | Risorse elettroniche |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | v. 1. The basis -- v. 2. Solid mechanics -- v. 3. Fluid dynamics |
| Record Nr. | UNISALENTO-991003223819707536 |
|
Zienkiewicz, Olgierd Cecil
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| Oxford ; Boston : Butterworth-Heinemann, 2000 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Finite element method : simulation, numerical analysis and solution techniques / / Răzvan Păcurar, editor
| Finite element method : simulation, numerical analysis and solution techniques / / Răzvan Păcurar, editor |
| Pubbl/distr/stampa | [Place of publication not identified] : , : IntechOpen, , [2018] |
| Descrizione fisica | 1 online resource (322 pages) |
| Disciplina | 624.171 |
| Soggetto topico |
Structural analysis (Engineering)
Finite element method |
| ISBN |
953-51-4079-5
953-51-3850-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Finite element nethod |
| Record Nr. | UNINA-9910265147903321 |
| [Place of publication not identified] : , : IntechOpen, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for fluid dynamics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, P. Nithiarasu
| The finite element method for fluid dynamics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, P. Nithiarasu |
| Autore | Zienkiewicz Olek C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014 |
| Descrizione fisica | 1 online resource (xxxvi, 544 pages) |
| Disciplina | 620.10601515353 |
| Altri autori (Persone) |
TaylorR. L
NithiarasuP |
| Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-08-095137-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910453494103321 |
|
Zienkiewicz Olek C
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| Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for solid & structural mechanics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, D.D. Fox
| 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 [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor
| 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
| 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 | ||
| ||
The finite element method for solid and structural mechanics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor
| 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-9910823730903321 |
|
Zienkiewicz O. C
|
||
| Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
