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The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore
| The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore |
| Autore | Liu G. R |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam : , : Elsevier, , [2014] |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 457 |
| Soggetto topico | Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-08-099441-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Title Page; Copyright; Dedication; Biography; Contents; Preface to the First Edition; 1 Computational Modeling; 1.1 Introduction; 1.2 Physical problems in engineering; 1.3 Computational modeling using FEM; 1.3.1 Modeling of the geometry; 1.3.2 Meshing; 1.3.3 Material or medium properties; 1.3.4 Boundary, initial, and loading conditions; 1.4 Solution procedure; 1.4.1 Discrete system equations; 1.4.2 Equation solvers; 1.5 Results visualization; 2 Briefing on Mechanics for Solids and Structures; 2.1 Introduction; 2.2 Equations for three-dimensional solids; 2.2.1 Stress and strain
2.2.2 Constitutive equations2.2.3 Dynamic equilibrium equations; 2.2.4 Boundary conditions; 2.3 Equations for two-dimensional solids; 2.3.1 Stress and strain; 2.3.2 Constitutive equations; 2.3.3 Dynamic equilibrium equations; 2.4 Equations for truss members; 2.4.1 Stress and strain; 2.4.2 Constitutive equations; 2.4.3 Dynamic equilibrium equations; Solution; 2.5 Equations for beams; 2.5.1 Stress and strain; 2.5.2 Constitutive equations; 2.5.3 Moments and shear forces; 2.5.4 Dynamic equilibrium equations; 2.6 Equations for plates; 2.6.1 Stress and strain; 2.6.2 Constitutive equations 2.6.3 Moments and shear forces2.6.4 Dynamic equilibrium equations; 2.6.5 Reissner-Mindlin plate; 2.7 Remarks; 2.8 Review questions; 3 Fundamentals for Finite Element Method; 3.1 Introduction; 3.2 Strong and weak forms: problem formulation; 3.3 Hamilton's principle: A weak formulation; 3.3.1 Hamilton's principle; 3.3.2 Minimum total potential energy principle; 3.4 FEM procedure; 3.4.1 Domain discretization; 3.4.2 Displacement interpolation; 3.4.3 Standard procedure for constructing shape functions; 3.4.3.1 On the inverse of the moment matrix; 3.4.3.2 On the compatibility of the shape functions 3.4.3.3 On other means of construct shape functions3.4.4 Properties of the shape functions; 3.4.5 Formulation of finite element equations in local coordinate system; 3.4.6 Coordinate transformation; 3.4.7 Assembly of global FE equation; 3.4.8 Imposition of displacement constraints; 3.4.9 Solving the global FE equation; 3.5 Static analysis; 3.6 Analysis of free vibration (eigenvalue analysis); 3.7 Transient response; 3.7.1 Central difference algorithm; 3.7.2 Newmark's method (Newmark, 1959); 3.8 Remarks; 3.8.1 Summary of shape function properties 3.8.2 Sufficient requirements for FEM shape functions3.8.3 Recap of FEM procedure; 3.9 Review questions; 4 FEM for Trusses; 4.1 Introduction; 4.2 FEM equations; 4.2.1 Shape function construction; 4.2.2 Strain matrix; 4.2.3 Element matrices in the local coordinate system; 4.2.4 Element matrices in the global coordinate system; 4.2.4.1 Spatial trusses; 4.2.4.2 Planar trusses; 4.2.5 Boundary conditions; 4.2.6 Recovering stress and strain; 4.3 Worked examples; Exact solution; FEM solution; 4.3.1 Properties of the FEM; 4.3.1.1 Reproduction property of the FEM 4.3.1.2 Convergence property of the FEM |
| Record Nr. | UNISA-996426333203316 |
Liu G. R
|
||
| Amsterdam : , : Elsevier, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore
| The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore |
| Autore | Liu G. R |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam : , : Elsevier, , [2014] |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 457 |
| Soggetto topico | Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-08-099441-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Title Page; Copyright; Dedication; Biography; Contents; Preface to the First Edition; 1 Computational Modeling; 1.1 Introduction; 1.2 Physical problems in engineering; 1.3 Computational modeling using FEM; 1.3.1 Modeling of the geometry; 1.3.2 Meshing; 1.3.3 Material or medium properties; 1.3.4 Boundary, initial, and loading conditions; 1.4 Solution procedure; 1.4.1 Discrete system equations; 1.4.2 Equation solvers; 1.5 Results visualization; 2 Briefing on Mechanics for Solids and Structures; 2.1 Introduction; 2.2 Equations for three-dimensional solids; 2.2.1 Stress and strain
2.2.2 Constitutive equations2.2.3 Dynamic equilibrium equations; 2.2.4 Boundary conditions; 2.3 Equations for two-dimensional solids; 2.3.1 Stress and strain; 2.3.2 Constitutive equations; 2.3.3 Dynamic equilibrium equations; 2.4 Equations for truss members; 2.4.1 Stress and strain; 2.4.2 Constitutive equations; 2.4.3 Dynamic equilibrium equations; Solution; 2.5 Equations for beams; 2.5.1 Stress and strain; 2.5.2 Constitutive equations; 2.5.3 Moments and shear forces; 2.5.4 Dynamic equilibrium equations; 2.6 Equations for plates; 2.6.1 Stress and strain; 2.6.2 Constitutive equations 2.6.3 Moments and shear forces2.6.4 Dynamic equilibrium equations; 2.6.5 Reissner-Mindlin plate; 2.7 Remarks; 2.8 Review questions; 3 Fundamentals for Finite Element Method; 3.1 Introduction; 3.2 Strong and weak forms: problem formulation; 3.3 Hamilton's principle: A weak formulation; 3.3.1 Hamilton's principle; 3.3.2 Minimum total potential energy principle; 3.4 FEM procedure; 3.4.1 Domain discretization; 3.4.2 Displacement interpolation; 3.4.3 Standard procedure for constructing shape functions; 3.4.3.1 On the inverse of the moment matrix; 3.4.3.2 On the compatibility of the shape functions 3.4.3.3 On other means of construct shape functions3.4.4 Properties of the shape functions; 3.4.5 Formulation of finite element equations in local coordinate system; 3.4.6 Coordinate transformation; 3.4.7 Assembly of global FE equation; 3.4.8 Imposition of displacement constraints; 3.4.9 Solving the global FE equation; 3.5 Static analysis; 3.6 Analysis of free vibration (eigenvalue analysis); 3.7 Transient response; 3.7.1 Central difference algorithm; 3.7.2 Newmark's method (Newmark, 1959); 3.8 Remarks; 3.8.1 Summary of shape function properties 3.8.2 Sufficient requirements for FEM shape functions3.8.3 Recap of FEM procedure; 3.9 Review questions; 4 FEM for Trusses; 4.1 Introduction; 4.2 FEM equations; 4.2.1 Shape function construction; 4.2.2 Strain matrix; 4.2.3 Element matrices in the local coordinate system; 4.2.4 Element matrices in the global coordinate system; 4.2.4.1 Spatial trusses; 4.2.4.2 Planar trusses; 4.2.5 Boundary conditions; 4.2.6 Recovering stress and strain; 4.3 Worked examples; Exact solution; FEM solution; 4.3.1 Properties of the FEM; 4.3.1.1 Reproduction property of the FEM 4.3.1.2 Convergence property of the FEM |
| Record Nr. | UNINA-9910452772203321 |
|
Liu G. R
|
||
| Amsterdam : , : Elsevier, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore
| The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore |
| Autore | Liu G. R |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2014 |
| Descrizione fisica | 1 online resource (xxi, 433 pages) : illustrations (some color) |
| Disciplina | 457 |
| Collana | Gale eBooks |
| Soggetto topico | Finite element method |
| ISBN | 0-08-099441-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Title Page; Copyright; Dedication; Biography; Contents; Preface to the First Edition; 1 Computational Modeling; 1.1 Introduction; 1.2 Physical problems in engineering; 1.3 Computational modeling using FEM; 1.3.1 Modeling of the geometry; 1.3.2 Meshing; 1.3.3 Material or medium properties; 1.3.4 Boundary, initial, and loading conditions; 1.4 Solution procedure; 1.4.1 Discrete system equations; 1.4.2 Equation solvers; 1.5 Results visualization; 2 Briefing on Mechanics for Solids and Structures; 2.1 Introduction; 2.2 Equations for three-dimensional solids; 2.2.1 Stress and strain
2.2.2 Constitutive equations2.2.3 Dynamic equilibrium equations; 2.2.4 Boundary conditions; 2.3 Equations for two-dimensional solids; 2.3.1 Stress and strain; 2.3.2 Constitutive equations; 2.3.3 Dynamic equilibrium equations; 2.4 Equations for truss members; 2.4.1 Stress and strain; 2.4.2 Constitutive equations; 2.4.3 Dynamic equilibrium equations; Solution; 2.5 Equations for beams; 2.5.1 Stress and strain; 2.5.2 Constitutive equations; 2.5.3 Moments and shear forces; 2.5.4 Dynamic equilibrium equations; 2.6 Equations for plates; 2.6.1 Stress and strain; 2.6.2 Constitutive equations 2.6.3 Moments and shear forces2.6.4 Dynamic equilibrium equations; 2.6.5 Reissner-Mindlin plate; 2.7 Remarks; 2.8 Review questions; 3 Fundamentals for Finite Element Method; 3.1 Introduction; 3.2 Strong and weak forms: problem formulation; 3.3 Hamilton's principle: A weak formulation; 3.3.1 Hamilton's principle; 3.3.2 Minimum total potential energy principle; 3.4 FEM procedure; 3.4.1 Domain discretization; 3.4.2 Displacement interpolation; 3.4.3 Standard procedure for constructing shape functions; 3.4.3.1 On the inverse of the moment matrix; 3.4.3.2 On the compatibility of the shape functions 3.4.3.3 On other means of construct shape functions3.4.4 Properties of the shape functions; 3.4.5 Formulation of finite element equations in local coordinate system; 3.4.6 Coordinate transformation; 3.4.7 Assembly of global FE equation; 3.4.8 Imposition of displacement constraints; 3.4.9 Solving the global FE equation; 3.5 Static analysis; 3.6 Analysis of free vibration (eigenvalue analysis); 3.7 Transient response; 3.7.1 Central difference algorithm; 3.7.2 Newmark's method (Newmark, 1959); 3.8 Remarks; 3.8.1 Summary of shape function properties 3.8.2 Sufficient requirements for FEM shape functions3.8.3 Recap of FEM procedure; 3.9 Review questions; 4 FEM for Trusses; 4.1 Introduction; 4.2 FEM equations; 4.2.1 Shape function construction; 4.2.2 Strain matrix; 4.2.3 Element matrices in the local coordinate system; 4.2.4 Element matrices in the global coordinate system; 4.2.4.1 Spatial trusses; 4.2.4.2 Planar trusses; 4.2.5 Boundary conditions; 4.2.6 Recovering stress and strain; 4.3 Worked examples; Exact solution; FEM solution; 4.3.1 Properties of the FEM; 4.3.1.1 Reproduction property of the FEM 4.3.1.2 Convergence property of the FEM |
| Record Nr. | UNINA-9910790676403321 |
|
Liu G. R
|
||
| Oxford : , : Butterworth-Heinemann, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore
| The finite element method : a practical course / / G.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore |
| Autore | Liu G. R |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2014 |
| Descrizione fisica | 1 online resource (xxi, 433 pages) : illustrations (some color) |
| Disciplina | 457 |
| Collana | Gale eBooks |
| Soggetto topico | Finite element method |
| ISBN | 0-08-099441-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half Title; Title Page; Copyright; Dedication; Biography; Contents; Preface to the First Edition; 1 Computational Modeling; 1.1 Introduction; 1.2 Physical problems in engineering; 1.3 Computational modeling using FEM; 1.3.1 Modeling of the geometry; 1.3.2 Meshing; 1.3.3 Material or medium properties; 1.3.4 Boundary, initial, and loading conditions; 1.4 Solution procedure; 1.4.1 Discrete system equations; 1.4.2 Equation solvers; 1.5 Results visualization; 2 Briefing on Mechanics for Solids and Structures; 2.1 Introduction; 2.2 Equations for three-dimensional solids; 2.2.1 Stress and strain
2.2.2 Constitutive equations2.2.3 Dynamic equilibrium equations; 2.2.4 Boundary conditions; 2.3 Equations for two-dimensional solids; 2.3.1 Stress and strain; 2.3.2 Constitutive equations; 2.3.3 Dynamic equilibrium equations; 2.4 Equations for truss members; 2.4.1 Stress and strain; 2.4.2 Constitutive equations; 2.4.3 Dynamic equilibrium equations; Solution; 2.5 Equations for beams; 2.5.1 Stress and strain; 2.5.2 Constitutive equations; 2.5.3 Moments and shear forces; 2.5.4 Dynamic equilibrium equations; 2.6 Equations for plates; 2.6.1 Stress and strain; 2.6.2 Constitutive equations 2.6.3 Moments and shear forces2.6.4 Dynamic equilibrium equations; 2.6.5 Reissner-Mindlin plate; 2.7 Remarks; 2.8 Review questions; 3 Fundamentals for Finite Element Method; 3.1 Introduction; 3.2 Strong and weak forms: problem formulation; 3.3 Hamilton's principle: A weak formulation; 3.3.1 Hamilton's principle; 3.3.2 Minimum total potential energy principle; 3.4 FEM procedure; 3.4.1 Domain discretization; 3.4.2 Displacement interpolation; 3.4.3 Standard procedure for constructing shape functions; 3.4.3.1 On the inverse of the moment matrix; 3.4.3.2 On the compatibility of the shape functions 3.4.3.3 On other means of construct shape functions3.4.4 Properties of the shape functions; 3.4.5 Formulation of finite element equations in local coordinate system; 3.4.6 Coordinate transformation; 3.4.7 Assembly of global FE equation; 3.4.8 Imposition of displacement constraints; 3.4.9 Solving the global FE equation; 3.5 Static analysis; 3.6 Analysis of free vibration (eigenvalue analysis); 3.7 Transient response; 3.7.1 Central difference algorithm; 3.7.2 Newmark's method (Newmark, 1959); 3.8 Remarks; 3.8.1 Summary of shape function properties 3.8.2 Sufficient requirements for FEM shape functions3.8.3 Recap of FEM procedure; 3.9 Review questions; 4 FEM for Trusses; 4.1 Introduction; 4.2 FEM equations; 4.2.1 Shape function construction; 4.2.2 Strain matrix; 4.2.3 Element matrices in the local coordinate system; 4.2.4 Element matrices in the global coordinate system; 4.2.4.1 Spatial trusses; 4.2.4.2 Planar trusses; 4.2.5 Boundary conditions; 4.2.6 Recovering stress and strain; 4.3 Worked examples; Exact solution; FEM solution; 4.3.1 Properties of the FEM; 4.3.1.1 Reproduction property of the FEM 4.3.1.2 Convergence property of the FEM |
| Record Nr. | UNINA-9910822731503321 |
|
Liu G. R
|
||
| Oxford : , : Butterworth-Heinemann, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||