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Finite element analysis of structures through unified formulation / / Erasmo Carrera [and three others]
Finite element analysis of structures through unified formulation / / Erasmo Carrera [and three others]
Autore Carrera Erasmo
Pubbl/distr/stampa Chichester, England : , : Wiley, , 2014
Descrizione fisica 1 online resource (412 p.)
Disciplina 518/.25
Soggetto topico Finite element method
Numerical analysis
ISBN 1-118-53665-7
1-118-53664-9
1-118-53666-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Finite Element Analysis of Structures Through Unified Formulation; Contents; About the Authors; Preface; Nomenclature and Acronyms; Symbols; Acronyms; 1 Introduction; 1.1 What is in this Book; 1.2 The Finite Element Method; 1.2.1 Approximation of the Domain; 1.2.2 The Numerical Approximation; 1.3 Calculation of the Area of a Surface with a Complex Geometry via the FEM; 1.4 Elasticity of a Bar; 1.5 Stiffness Matrix of a Single Bar; 1.6 Stiffness Matrix of a Bar via the PVD; 1.7 Truss Structures and Their Automatic Calculation by Means of the FEM; 1.8 Example of a Truss Structure
1.8.1 Element Matrices in the Local Reference System1.8.2 Element Matrices in the Global Reference System; 1.8.3 Global Structure Stiffness Matrix Assembly; 1.8.4 Application of Boundary Conditions and the Numerical Solution; 1.9 Outline of the Book Contents; References; 2 Fundamental Equations of 3D Elasticity; 2.1 Equilibrium Conditions; 2.2 Geometrical Relations; 2.3 Hooke's Law; 2.4 Displacement Formulation; Further Reading; 3 From 3D Problems to 2D and 1D Problems: Theories for Beams, Plates and Shells; 3.1 Typical Structures; 3.1.1 Three-Dimensional Structures (Solids)
3.1.2 Two-Dimensional Structures (Plates, Shells and Membranes)3.1.3 One-Dimensional Structures (Beams and Bars); 3.2 Axiomatic Method; 3.2.1 Two-Dimensional Case; 3.2.2 One-Dimensional Case; 3.3 Asymptotic Method; Further Reading; 4 Typical FE Governing Equations and Procedures; 4.1 Static Response Analysis; 4.2 Free Vibration Analysis; 4.3 Dynamic Response Analysis; References; 5 Introduction to the Unified Formulation; 5.1 Stiffness Matrix of a Bar and the Related FN; 5.2 Case of a Bar Element with Internal Nodes; 5.2.1 The Case of Bar with Three Nodes
5.2.2 The Case of an Arbitrary Defined Number of Nodes5.3 Combination of the FEM and the Theory of Structure Approximations: A Four-Index FN and the CUF; 5.3.1 FN for a 1D Element with a Variable Axial Displacement over the Cross-section; 5.3.2 FN for a 1D Structure with a Complete Displacement Field: The Case of a Refined Beam Model; 5.4 CUF Assembly Technique; 5.5 CUF as a Unique Approach for 1D, 2D and 3D Structures; 5.6 Literature Review of the CUF; References; 6 The Displacement Approach via the PVD and FN for 1D, 2D and 3D Elements
6.1 Strong Form of the Equilibrium Equations via the PVD6.1.1 The Two Fundamental Terms of the FN; 6.2 Weak Form of the Solid Model Using the PVD; 6.3 Weak Form of a Solid Element Using Index Notation; 6.4 FN for 1D, 2D and 3D Problems in Unique Form; 6.4.1 Three-Dimensional Models; 6.4.2 Two-Dimensional Models; 6.4.3 One-Dimensional Models; 6.5 CUF at a Glance; References; 7 Three-Dimensional FEM Formulation (Solid Elements); 7.1 An Eight-Node Element Using Classical Matrix Notation; 7.1.1 Stiffness Matrix; 7.1.2 Load Vector; 7.2 Derivation of the Stiffness Matrix Using the Index Notation
7.2.1 Governing Equations
Record Nr. UNINA-9910132174803321
Carrera Erasmo  
Chichester, England : , : Wiley, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Finite Element Analysis of the Collapse and Post-Collapse Behavior of Steel Pipes: Applications to the Oil Industry [[electronic resource] /] / by Eduardo N Dvorkin, Rita G. Toscano
Finite Element Analysis of the Collapse and Post-Collapse Behavior of Steel Pipes: Applications to the Oil Industry [[electronic resource] /] / by Eduardo N Dvorkin, Rita G. Toscano
Autore Dvorkin Eduardo N
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (103 p.)
Disciplina 518/.25
620.17
Collana SpringerBriefs in Computational Mechanics
Soggetto topico Mechanics
Mechanics, Applied
Civil engineering
Manufactures
Solid Mechanics
Civil Engineering
Manufacturing, Machines, Tools, Processes
ISBN 3-642-37361-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Shell element formulations for general nonlinear analysis Modeling techniques -- Collapse and post-collapse behavior of steel pipes Finite element models -- Experimental validation of the finite element models Applications: slotted pipes and axial loads -- Collapse and post-collapse behavior of deepwater pipelines with buckle arrestors. Cross-over mechanisms -- Conclusions.
Record Nr. UNINA-9910438045903321
Dvorkin Eduardo N  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies
The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies
Autore Davies Alan J
Edizione [2nd ed.]
Pubbl/distr/stampa Oxford ; ; New York, : Oxford University Press, 2011
Descrizione fisica 1 online resource (308 p.)
Disciplina 518/.25
Soggetto topico Finite element method
Numerical analysis
Soggetto genere / forma Electronic books.
ISBN 1-283-42690-0
9786613426901
0-19-163033-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent problems; 2.10 Exercises and solutions; 3 The finite element method for elliptic problems
3.1 Difficulties associated with the application of weighted residual methods3.2 Piecewise application of the Galerkin method; 3.3 Terminology; 3.4 Finite element idealization; 3.5 Illustrative problem involving one independent variable; 3.6 Finite element equations for Poisson's equation; 3.7 A rectangular element for Poisson's equation; 3.8 A triangular element for Poisson's equation; 3.9 Exercises and solutions; 4 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements
4.4 Two degrees of freedom at each node4.5 Condensation of internal nodal freedoms; 4.6 Curved boundaries and higher-order elements: isoparametric elements; 4.7 Exercises and solutions; 5 Further topics in the finite element method; 5.1 The variational approach; 5.2 Collocation and least squares methods; 5.3 Use of Galerkin's method for time-dependent and non-linear problems; 5.4 Time-dependent problems using variational principles which are not extremal; 5.5 The Laplace transform; 5.6 Exercises and solutions; 6 Convergence of the finite element method; 6.1 A one-dimensional example
6.2 Two-dimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Non-conforming elements: the patch test; 6.5 Comparison with the finite difference method: stability; 6.6 Exercises and solutions; 7 The boundary element method; 7.1 Integral formulation of boundary-value problems; 7.2 Boundary element idealization for Laplace's equation; 7.3 A constant boundary element for Laplace's equation; 7.4 A linear element for Laplace's equation; 7.5 Time-dependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Pre-processor
8.2 Solution phase8.3 Post-processor; 8.4 Finite element method (FEM) or boundary element method (BEM)?; Appendix A: Partial differential equation models in the physical sciences; A.1 Parabolic problems; A.2 Elliptic problems; A.3 Hyperbolic problems; A.4 Initial and boundary conditions; Appendix B: Some integral theorems of the vector calculus; Appendix C: A formula for integrating products of area coordinates over a triangle; Appendix D: Numerical integration formulae; D.1 One-dimensional Gauss quadrature; D.2 Two-dimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature
Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion
Record Nr. UNINA-9910465743103321
Davies Alan J  
Oxford ; ; New York, : Oxford University Press, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies
The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies
Autore Davies Alan J
Edizione [2nd ed.]
Pubbl/distr/stampa Oxford ; ; New York, : Oxford University Press, 2011
Descrizione fisica 1 online resource (308 p.)
Disciplina 518/.25
Soggetto topico Finite element method
Numerical analysis
ISBN 0-19-163034-9
1-283-42690-0
9786613426901
0-19-163033-0
Classificazione SK 910
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent problems; 2.10 Exercises and solutions; 3 The finite element method for elliptic problems
3.1 Difficulties associated with the application of weighted residual methods3.2 Piecewise application of the Galerkin method; 3.3 Terminology; 3.4 Finite element idealization; 3.5 Illustrative problem involving one independent variable; 3.6 Finite element equations for Poisson's equation; 3.7 A rectangular element for Poisson's equation; 3.8 A triangular element for Poisson's equation; 3.9 Exercises and solutions; 4 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements
4.4 Two degrees of freedom at each node4.5 Condensation of internal nodal freedoms; 4.6 Curved boundaries and higher-order elements: isoparametric elements; 4.7 Exercises and solutions; 5 Further topics in the finite element method; 5.1 The variational approach; 5.2 Collocation and least squares methods; 5.3 Use of Galerkin's method for time-dependent and non-linear problems; 5.4 Time-dependent problems using variational principles which are not extremal; 5.5 The Laplace transform; 5.6 Exercises and solutions; 6 Convergence of the finite element method; 6.1 A one-dimensional example
6.2 Two-dimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Non-conforming elements: the patch test; 6.5 Comparison with the finite difference method: stability; 6.6 Exercises and solutions; 7 The boundary element method; 7.1 Integral formulation of boundary-value problems; 7.2 Boundary element idealization for Laplace's equation; 7.3 A constant boundary element for Laplace's equation; 7.4 A linear element for Laplace's equation; 7.5 Time-dependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Pre-processor
8.2 Solution phase8.3 Post-processor; 8.4 Finite element method (FEM) or boundary element method (BEM)?; Appendix A: Partial differential equation models in the physical sciences; A.1 Parabolic problems; A.2 Elliptic problems; A.3 Hyperbolic problems; A.4 Initial and boundary conditions; Appendix B: Some integral theorems of the vector calculus; Appendix C: A formula for integrating products of area coordinates over a triangle; Appendix D: Numerical integration formulae; D.1 One-dimensional Gauss quadrature; D.2 Two-dimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature
Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion
Record Nr. UNINA-9910791971603321
Davies Alan J  
Oxford ; ; New York, : Oxford University Press, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The finite element method : an introduction with partial differential equations / / A.J. Davies
The finite element method : an introduction with partial differential equations / / A.J. Davies
Autore Davies Alan J
Edizione [2nd ed.]
Pubbl/distr/stampa Oxford ; ; New York, : Oxford University Press, 2011
Descrizione fisica 1 online resource (308 p.)
Disciplina 518/.25
Soggetto topico Finite element method
Numerical analysis
ISBN 0-19-163034-9
1-283-42690-0
9786613426901
0-19-163033-0
Classificazione SK 910
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent problems; 2.10 Exercises and solutions; 3 The finite element method for elliptic problems
3.1 Difficulties associated with the application of weighted residual methods3.2 Piecewise application of the Galerkin method; 3.3 Terminology; 3.4 Finite element idealization; 3.5 Illustrative problem involving one independent variable; 3.6 Finite element equations for Poisson's equation; 3.7 A rectangular element for Poisson's equation; 3.8 A triangular element for Poisson's equation; 3.9 Exercises and solutions; 4 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements
4.4 Two degrees of freedom at each node4.5 Condensation of internal nodal freedoms; 4.6 Curved boundaries and higher-order elements: isoparametric elements; 4.7 Exercises and solutions; 5 Further topics in the finite element method; 5.1 The variational approach; 5.2 Collocation and least squares methods; 5.3 Use of Galerkin's method for time-dependent and non-linear problems; 5.4 Time-dependent problems using variational principles which are not extremal; 5.5 The Laplace transform; 5.6 Exercises and solutions; 6 Convergence of the finite element method; 6.1 A one-dimensional example
6.2 Two-dimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Non-conforming elements: the patch test; 6.5 Comparison with the finite difference method: stability; 6.6 Exercises and solutions; 7 The boundary element method; 7.1 Integral formulation of boundary-value problems; 7.2 Boundary element idealization for Laplace's equation; 7.3 A constant boundary element for Laplace's equation; 7.4 A linear element for Laplace's equation; 7.5 Time-dependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Pre-processor
8.2 Solution phase8.3 Post-processor; 8.4 Finite element method (FEM) or boundary element method (BEM)?; Appendix A: Partial differential equation models in the physical sciences; A.1 Parabolic problems; A.2 Elliptic problems; A.3 Hyperbolic problems; A.4 Initial and boundary conditions; Appendix B: Some integral theorems of the vector calculus; Appendix C: A formula for integrating products of area coordinates over a triangle; Appendix D: Numerical integration formulae; D.1 One-dimensional Gauss quadrature; D.2 Two-dimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature
Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion
Record Nr. UNINA-9910828886203321
Davies Alan J  
Oxford ; ; New York, : Oxford University Press, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Finite Element Method: Theory, Implementation, and Applications / / by Mats G. Larson, Fredrik Bengzon
The Finite Element Method: Theory, Implementation, and Applications / / by Mats G. Larson, Fredrik Bengzon
Autore Larson Mats G
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (401 p.)
Disciplina 518/.25
Collana Texts in Computational Science and Engineering
Soggetto topico Computer mathematics
Partial differential equations
Mechanics
Mechanics, Applied
Computer-aided engineering
Computational Science and Engineering
Partial Differential Equations
Theoretical and Applied Mechanics
Computer-Aided Engineering (CAD, CAE) and Design
Computational Mathematics and Numerical Analysis
ISBN 3-642-33287-0
Classificazione 004
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Piecewise Polynomial Approximation in 1D -- 2. The Finite Element Method in 1D -- 3. Piecewise Polynomial Approximation in 2D -- 4. The Finite Element Method in 2D -- 5. Time-dependent Problems -- 6. Solving Large Sparse Linear Systems -- 7. Abstract Finite Element Analysis -- 8. The Finite Element -- 9. Non-linear Problems -- 10. Transport Problems -- 11. Solid Mechanics -- 12. Fluid Mechanics -- 13. Electromagnetics -- 14. Discontinuous Galerkin Methods -- A. Some Additional Matlab Code -- References.
Record Nr. UNINA-9910437868303321
Larson Mats G  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Inside finite elements / / Martin Weiser
Inside finite elements / / Martin Weiser
Autore Weiser Martin
Pubbl/distr/stampa Berlin, [Germany] : , : De Gruyter, , 2016
Descrizione fisica 1 online resource (158 p.)
Disciplina 518/.25
Collana De Gruyter Textbook
Soggetto topico Finite element method
Differential equations, Partial
Algorithms
Soggetto genere / forma Electronic books.
ISBN 3-11-038618-6
3-11-037320-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. Finite Element Fundamentals -- 2. Grids and Finite Elements -- 3. Assembly -- 4. Solvers -- 5. Error Estimation -- 6. Mesh Refinement -- 7. Multigrid -- 8. Elastomechanics -- 9. Fluid Mechanics -- A. Grid Data Structure -- B. Function Reference -- Bibliography -- Index
Record Nr. UNINA-9910464964003321
Weiser Martin  
Berlin, [Germany] : , : De Gruyter, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Inside finite elements / / Martin Weiser
Inside finite elements / / Martin Weiser
Autore Weiser Martin
Pubbl/distr/stampa Berlin, [Germany] : , : De Gruyter, , 2016
Descrizione fisica 1 online resource (158 p.)
Disciplina 518/.25
Collana De Gruyter Textbook
Soggetto topico Finite element method
Differential equations, Partial
Algorithms
ISBN 3-11-038618-6
3-11-037320-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. Finite Element Fundamentals -- 2. Grids and Finite Elements -- 3. Assembly -- 4. Solvers -- 5. Error Estimation -- 6. Mesh Refinement -- 7. Multigrid -- 8. Elastomechanics -- 9. Fluid Mechanics -- A. Grid Data Structure -- B. Function Reference -- Bibliography -- Index
Record Nr. UNINA-9910798350103321
Weiser Martin  
Berlin, [Germany] : , : De Gruyter, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Inside finite elements / / Martin Weiser
Inside finite elements / / Martin Weiser
Autore Weiser Martin
Pubbl/distr/stampa Berlin, [Germany] : , : De Gruyter, , 2016
Descrizione fisica 1 online resource (158 p.)
Disciplina 518/.25
Collana De Gruyter Textbook
Soggetto topico Finite element method
Differential equations, Partial
Algorithms
ISBN 3-11-038618-6
3-11-037320-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. Finite Element Fundamentals -- 2. Grids and Finite Elements -- 3. Assembly -- 4. Solvers -- 5. Error Estimation -- 6. Mesh Refinement -- 7. Multigrid -- 8. Elastomechanics -- 9. Fluid Mechanics -- A. Grid Data Structure -- B. Function Reference -- Bibliography -- Index
Record Nr. UNINA-9910810444703321
Weiser Martin  
Berlin, [Germany] : , : De Gruyter, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An introduction to nonlinear finite element analysis [[electronic resource] /] / J.N. Reddy
An introduction to nonlinear finite element analysis [[electronic resource] /] / J.N. Reddy
Autore Reddy J. N (Junuthula Narasimha), <1945->
Pubbl/distr/stampa Oxford ; ; New York, : Oxford University Press, 2004
Descrizione fisica 1 online resource (482 p.)
Disciplina 518/.25
Soggetto topico Finite element method
Nonlinear mechanics
Soggetto genere / forma Electronic books.
ISBN 0-19-157467-8
9786612354779
1-282-35477-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; 1 Introduction; 1.1 Mathematical Models; 1.2 Numerical Simulations; 1.3 The Finite Element Method; 1.4 Nonlinear Analysis; 1.4.1 Introduction; 1.4.2 Classification of Nonlinearities; 1.5 The Big Picture; References; 2 The Finite Element Method: A Review; 2.1 Introduction; 2.2 One-Dimensional Problems; 2.2.1 Governing Differential Equation; 2.2.2 Finite Element Approximation; 2.2.3 Derivation of the Weak Form; 2.2.4 Interpolation Functions; 2.2.5 Finite Element Model; 2.3 Two-Dimensional Problems; 2.3.1 Governing Differential Equation; 2.3.2 Finite Element Approximation
2.3.3 Weak Formulation2.3.4 Finite Element Model; 2.3.5 Interpolation Functions; 2.3.6 Assembly of Elements; 2.4 Library of Two-Dimensional Finite Elements; 2.4.1 Introduction; 2.4.2 Triangular Elements; 2.4.3 Rectangular Elements; 2.5 Numerical Integration; 2.5.1 Preliminary Comments; 2.5.2 Coordinate Transformations; 2.5.3 Integration Over a Master Rectangular Element; 2.5.4 Integration Over a Master Triangular Element; 2.6 Computer Implementation; 2.6.1 General Comments; 2.6.2 One-Dimensional Problems; 2.6.3 Two-Dimensional Problems; 2.7 Closure; Problems; References
3 Heat Transfer and Other Field Problems in One Dimension3.1 Model Differential Equation; 3.2 Weak Formulation; 3.3 Finite Element Model; 3.4 Solution Procedures; 3.4.1 General Comments; 3.4.2 Direct Iteration Procedure; 3.4.3 Newton's Iteration Procedure; 3.5 Computer Implementation; 3.5.1 Introduction; 3.5.2 Preprocessor Unit; 3.5.3 Processor Unit; 3.6 Closing Remarks; Problems; References; 4 Nonlinear Bending of Straight Beams; 4.1 Introduction; 4.2 Euler-Bernoulli Beams; 4.2.1 Basic Assumptions; 4.2.2 Displacement Field and Strains; 4.2.3 Weak Forms; 4.2.4 Finite Element Model
4.2.5 Iterative Solutions of Nonlinear Equations4.2.6 Load Increments; 4.2.7 Membrane Locking; 4.2.8 Computer Implementation; 4.3 Timoshenko Beams; 4.3.1 Displacement Field and Strains; 4.3.2 Weak Forms; 4.3.3 General Finite Element Model; 4.3.4 Shear and Membrane Locking; 4.3.5 Tangent Stiffness Matrix; Problems; References; 5 Heat Transfer and Other Fields Problems in Two Dimensions; 5.1 Model Equation; 5.2 Weak Form; 5.3 Finite Element Model; 5.4 Solution Procedures; 5.4.1 Direct Iteration; 5.4.2 Newton-Raphson Iteration; 5.5 Computer Implementation; 5.5.1 Introduction
5.5.2 Numerical Integration5.5.3 Element Calculations; Problems; References; 6 Nonlinear Bending of Elastic Plates; 6.1 Introduction; 6.2 Classical Plate Theory; 6.2.1 Assumptions of the Kinematics; 6.2.2 Displacement Field and Strains; 6.3 Variational Formulation of CPT; 6.3.1 Virtual Work; 6.3.2 Weak Forms; 6.3.3 Equilibrium Equations; 6.3.4 Boundary Conditions; 6.3.5 Stress Resultant-Deflection Relations; 6.4 Finite Element Models of CPT; 6.4.1 General Formulation; 6.4.2 Tangent Stiffness Coefficients; 6.4.3 Some Plate Finite Elements
6.5 Computer Implementation Aspects and Numerical Results of CPT Elements
Record Nr. UNINA-9910465791003321
Reddy J. N (Junuthula Narasimha), <1945->  
Oxford ; ; New York, : Oxford University Press, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui