Start Over Please hold this item Export MARC Display Return To Browse
 
     
Limit search to available items
Record: Previous Record Next Record
Author Szabo, B. A. (Barna Aladar), 1935-
Title Introduction to finite element analysis : formulation, verification, and validation / Barna Szabo, Ivo Babuska.
Publication Info Oxford : Wiley-Blackwell, 2011.


Click on the following to:
Go to ebook
Persistent link to this item
Click link and copy URL from browser navigation toolbar

Descript xviii, 364 p. : ill.
Contents About the Authors. Series Preface. Preface. 1 Introduction. 1.1 Numerical simulation. 1.2 Why is numerical accuracy important? 1.3 Chapter summary. 2 An outline of the finite element method. 2.1 Mathematical models in one dimension. 2.2 Approximate solution. 2.3 Generalized formulation in one dimension. 2.4 Finite element approximations. 2.5 FEM in one dimension. 2.6 Properties of the generalized formulation. 2.7 Error estimation based on extrapolation. 2.8 Extraction methods. 2.9 Laboratory exercises. 2.10 Chapter summary. 3 Formulation of mathematical models. 3.1 Notation. 3.2 Heat conduction. 3.3 The scalar elliptic boundary value problem. 3.4 Linear elasticity. 3.5 Incompressible elastic materials. 3.6 Stokes' flow. 3.7 The hierarchic view of mathematical models. 3.8 Chapter summary. 4 Generalized formulations. 4.1 The scalar elliptic problem. 4.2 The principle of virtual work. 4.3 Elastostatic problems. 4.4 Elastodynamic models. 4.5 Incompressible materials. 4.6 Chapter summary. 5 Finite element spaces. 5.1 Standard elements in two dimensions. 5.2 Standard polynomial spaces. 5.3 Shape functions. 5.4 Mapping functions in two dimensions. 5.5 Elements in three dimensions. 5.6 Integration and differentiation. 5.7 Stiffness matrices and load vectors. 5.8 Chapter summary. 6 Regularity and rates of convergence. 6.1 Regularity. 6.2 Classification. 6.3 The neighborhood of singular points. 6.4 Rates of convergence. 6.5 Chapter summary. 7 Computation and verification of data. 7.1 Computation of the solution and its first derivatives. 7.2 Nodal forces. 7.3 Verification of computed data. 7.4 Flux and stress intensity factors. 7.5 Chapter summary. 8 What should be computed and why? 8.1 Basic assumptions. 8.2 Conceptualization: drivers of damage accumulation. 8.3 Classical models of metal fatigue. 8.4 Linear elastic fracture mechanics. 8.5 On the existence of a critical distance. 8.6 Driving forces for damage accumulation. 8.7 Cycle counting. 8.8 Validation. 8.9 Chapter summary. 9 Beams, plates and shells. 9.1 Beams. 9.2 Plates. 9.3 Shells. 9.4 The Oak Ridge experiments. 9.5 Chapter summary. 10 Nonlinear models. 10.1 Heat conduction. 10.2 Solid mechanics. 10.3 Chapter summary. A Definitions. A.1 Norms and seminorms. A.2 Normed linear spaces. A.3 Linear functionals. A.4 Bilinear forms. A.5 Convergence. A.6 Legendre polynomials. A.7 Analytic functions. A.8 The Schwarz inequality for integrals. B Numerical quadrature. B.1 Gaussian quadrature. B.2 Gauss-Lobatto quadrature. C Properties of the stress tensor. C.1 The traction vector. C.2 Principal stresses. C.3 Transformation of vectors. C.4 Transformation of stresses. D Computation of stress intensity factors. D.1 The contour integral method. D.2 The energy release rate. E Saint-Venant's principle. E.1 Green's function for the Laplace equation. E.2 Model problem. F Solutions for selected exercises. Bibliography. Index.
Note 400 annual accesses. UkHlHU
ISBN 9781119993827 (e-book)
 Click on the terms below to find similar items in the catalogue
Author Szabo, B. A. (Barna Aladar), 1935-
Subject Finite element method.
Alt author Babuska, Ivo.
Descript xviii, 364 p. : ill.
Contents About the Authors. Series Preface. Preface. 1 Introduction. 1.1 Numerical simulation. 1.2 Why is numerical accuracy important? 1.3 Chapter summary. 2 An outline of the finite element method. 2.1 Mathematical models in one dimension. 2.2 Approximate solution. 2.3 Generalized formulation in one dimension. 2.4 Finite element approximations. 2.5 FEM in one dimension. 2.6 Properties of the generalized formulation. 2.7 Error estimation based on extrapolation. 2.8 Extraction methods. 2.9 Laboratory exercises. 2.10 Chapter summary. 3 Formulation of mathematical models. 3.1 Notation. 3.2 Heat conduction. 3.3 The scalar elliptic boundary value problem. 3.4 Linear elasticity. 3.5 Incompressible elastic materials. 3.6 Stokes' flow. 3.7 The hierarchic view of mathematical models. 3.8 Chapter summary. 4 Generalized formulations. 4.1 The scalar elliptic problem. 4.2 The principle of virtual work. 4.3 Elastostatic problems. 4.4 Elastodynamic models. 4.5 Incompressible materials. 4.6 Chapter summary. 5 Finite element spaces. 5.1 Standard elements in two dimensions. 5.2 Standard polynomial spaces. 5.3 Shape functions. 5.4 Mapping functions in two dimensions. 5.5 Elements in three dimensions. 5.6 Integration and differentiation. 5.7 Stiffness matrices and load vectors. 5.8 Chapter summary. 6 Regularity and rates of convergence. 6.1 Regularity. 6.2 Classification. 6.3 The neighborhood of singular points. 6.4 Rates of convergence. 6.5 Chapter summary. 7 Computation and verification of data. 7.1 Computation of the solution and its first derivatives. 7.2 Nodal forces. 7.3 Verification of computed data. 7.4 Flux and stress intensity factors. 7.5 Chapter summary. 8 What should be computed and why? 8.1 Basic assumptions. 8.2 Conceptualization: drivers of damage accumulation. 8.3 Classical models of metal fatigue. 8.4 Linear elastic fracture mechanics. 8.5 On the existence of a critical distance. 8.6 Driving forces for damage accumulation. 8.7 Cycle counting. 8.8 Validation. 8.9 Chapter summary. 9 Beams, plates and shells. 9.1 Beams. 9.2 Plates. 9.3 Shells. 9.4 The Oak Ridge experiments. 9.5 Chapter summary. 10 Nonlinear models. 10.1 Heat conduction. 10.2 Solid mechanics. 10.3 Chapter summary. A Definitions. A.1 Norms and seminorms. A.2 Normed linear spaces. A.3 Linear functionals. A.4 Bilinear forms. A.5 Convergence. A.6 Legendre polynomials. A.7 Analytic functions. A.8 The Schwarz inequality for integrals. B Numerical quadrature. B.1 Gaussian quadrature. B.2 Gauss-Lobatto quadrature. C Properties of the stress tensor. C.1 The traction vector. C.2 Principal stresses. C.3 Transformation of vectors. C.4 Transformation of stresses. D Computation of stress intensity factors. D.1 The contour integral method. D.2 The energy release rate. E Saint-Venant's principle. E.1 Green's function for the Laplace equation. E.2 Model problem. F Solutions for selected exercises. Bibliography. Index.
Note 400 annual accesses. UkHlHU
ISBN 9781119993827 (e-book)
Author Szabo, B. A. (Barna Aladar), 1935-
Subject Finite element method.
Alt author Babuska, Ivo.

Subject Finite element method.
Descript xviii, 364 p. : ill.
Contents About the Authors. Series Preface. Preface. 1 Introduction. 1.1 Numerical simulation. 1.2 Why is numerical accuracy important? 1.3 Chapter summary. 2 An outline of the finite element method. 2.1 Mathematical models in one dimension. 2.2 Approximate solution. 2.3 Generalized formulation in one dimension. 2.4 Finite element approximations. 2.5 FEM in one dimension. 2.6 Properties of the generalized formulation. 2.7 Error estimation based on extrapolation. 2.8 Extraction methods. 2.9 Laboratory exercises. 2.10 Chapter summary. 3 Formulation of mathematical models. 3.1 Notation. 3.2 Heat conduction. 3.3 The scalar elliptic boundary value problem. 3.4 Linear elasticity. 3.5 Incompressible elastic materials. 3.6 Stokes' flow. 3.7 The hierarchic view of mathematical models. 3.8 Chapter summary. 4 Generalized formulations. 4.1 The scalar elliptic problem. 4.2 The principle of virtual work. 4.3 Elastostatic problems. 4.4 Elastodynamic models. 4.5 Incompressible materials. 4.6 Chapter summary. 5 Finite element spaces. 5.1 Standard elements in two dimensions. 5.2 Standard polynomial spaces. 5.3 Shape functions. 5.4 Mapping functions in two dimensions. 5.5 Elements in three dimensions. 5.6 Integration and differentiation. 5.7 Stiffness matrices and load vectors. 5.8 Chapter summary. 6 Regularity and rates of convergence. 6.1 Regularity. 6.2 Classification. 6.3 The neighborhood of singular points. 6.4 Rates of convergence. 6.5 Chapter summary. 7 Computation and verification of data. 7.1 Computation of the solution and its first derivatives. 7.2 Nodal forces. 7.3 Verification of computed data. 7.4 Flux and stress intensity factors. 7.5 Chapter summary. 8 What should be computed and why? 8.1 Basic assumptions. 8.2 Conceptualization: drivers of damage accumulation. 8.3 Classical models of metal fatigue. 8.4 Linear elastic fracture mechanics. 8.5 On the existence of a critical distance. 8.6 Driving forces for damage accumulation. 8.7 Cycle counting. 8.8 Validation. 8.9 Chapter summary. 9 Beams, plates and shells. 9.1 Beams. 9.2 Plates. 9.3 Shells. 9.4 The Oak Ridge experiments. 9.5 Chapter summary. 10 Nonlinear models. 10.1 Heat conduction. 10.2 Solid mechanics. 10.3 Chapter summary. A Definitions. A.1 Norms and seminorms. A.2 Normed linear spaces. A.3 Linear functionals. A.4 Bilinear forms. A.5 Convergence. A.6 Legendre polynomials. A.7 Analytic functions. A.8 The Schwarz inequality for integrals. B Numerical quadrature. B.1 Gaussian quadrature. B.2 Gauss-Lobatto quadrature. C Properties of the stress tensor. C.1 The traction vector. C.2 Principal stresses. C.3 Transformation of vectors. C.4 Transformation of stresses. D Computation of stress intensity factors. D.1 The contour integral method. D.2 The energy release rate. E Saint-Venant's principle. E.1 Green's function for the Laplace equation. E.2 Model problem. F Solutions for selected exercises. Bibliography. Index.
Note 400 annual accesses. UkHlHU
Alt author Babuska, Ivo.
ISBN 9781119993827 (e-book)
Persistent link to this item
Click link and copy URL from browser navigation toolbar

Links and services for this item:

Persistent link to this item
Click link and copy URL from browser navigation toolbar