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Preface to the Second Edition | ||
Preface to the First Edition | ||
Pt. 1 | Preliminaries | |
1.1 | General Comments | 3 |
1.2 | Historical Background | 5 |
1.3 | The Basic Concept of the Finite Element Method | 5 |
1.4 | The Present Study | 15 |
2 | Integral Formulations and Variational Methods | 18 |
2.1 | Need for Weighted-Integral Forms | 18 |
2.2 | Some Mathematical Concepts and Formulae | 20 |
2.3 | Weak Formulation of Boundary Value Problems | 28 |
2.4 | Variational Methods of Approximation | 40 |
Pt. 2 | Finite Element Analysis of One-Dimensional Problems | |
3 | Second-Order Boundary Value Problems | 67 |
3.2 | Basic Steps of Finite Element Analysis | 70 |
3.3 | Applications | 105 |
4 | Bending of Beams | 143 |
4.2 | The Euler-Bernoulli Beam Element | 143 |
4.3 | Plane Truss and Euler-Bernoulli Frame Elements | 167 |
4.4 | The Timoshenko Beam and Frame Elements | 177 |
4.5 | Inclusion of Constraint Equations | 187 |
5 | Finite Element Error Analysis | 199 |
5.1 | Approximation Errors | 199 |
5.2 | Various Measures of Errors | 200 |
5.3 | Convergence of Solution | 201 |
5.4 | Accuracy of the Solution | 202 |
6 | Eigenvalue and Time-Dependent Problems | 209 |
6.1 | Eigenvalue Problems | 209 |
6.2 | Time-Dependent Problems | 224 |
7 | Numerical Integration and Computer Implementation | 246 |
7.1 | Isoparametric Formulations and Numerical Integration | 246 |
7.2 | Computer Implementation | 258 |
7.3 | Applications of the Computer Program FEM1DV2 | 270 |
Pt. 3 | Finite Element Analysis of Two-Dimensional Problems | |
8 | Single-Variable Problems | 295 |
8.2 | Boundary Value Problems | 297 |
8.3 | Some Comments on Mesh Generation and Imposition of Boundary Conditions | 334 |
8.4 | Applications | 340 |
8.5 | Eigenvalue and Time-Dependent Problems | 370 |
9 | Interpolation Functions, Numerical Integration, and Modeling Considerations | 404 |
9.1 | Library of Elements and Interpolation Functions | 404 |
9.2 | Numerical Integration | 421 |
9.3 | Modeling Considerations | 439 |
10 | Plane Elasticity | 455 |
10.2 | Governing Equations | 456 |
10.3 | Weak Formulations | 459 |
10.4 | Finite Element Model | 461 |
10.5 | Evaluation of Integrals | 465 |
10.6 | Assembly and Boundary and Initial Conditions | 468 |
11 | Flows of Viscous Incompressible Fluids | 482 |
11.2 | Governing Equations | 483 |
11.3 | Velocity-Pressure Finite Element Model | 484 |
11.4 | Penalty-Finite Element Model | 488 |
12 | Bending of Elastic Plates | 508 |
12.2 | Classical Plate Model | 510 |
12.3 | Shear Deformable Plate Model | 516 |
12.4 | Eigenvalue and Time-Dependent Problems | 520 |
13 | Computer Implementation | 533 |
13.2 | Preprocessor | 534 |
13.3 | Element Computations: Processor | 535 |
13.4 | Applications of the Computer Program FEM2DV2 | 540 |
Pt. 4 | Advanced Topics | |
14 | Weighted-Residual Finite Element Models, and Finite Element Models of Nonlinear and Three-Dimensional Problems | 579 |
14.2 | Alternative Formulations | 580 |
14.3 | Nonlinear Problems | 594 |
14.4 | Three-Dimensional Problems | 599 |
App. 1 Fortran Listing of FEM1DV2 | 609 | |
App. 2 Fortran Listing of FEM2DV2 | 640 | |
Index | 679 |
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Add An Introduction to the Finite Element Method, J.N. Reddy's, An Introduction to the Finite Element Method, third edition is an update of one of the most popular FEM textbooks available. The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and, An Introduction to the Finite Element Method to the inventory that you are selling on WonderClubX
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Add An Introduction to the Finite Element Method, J.N. Reddy's, An Introduction to the Finite Element Method, third edition is an update of one of the most popular FEM textbooks available. The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and, An Introduction to the Finite Element Method to your collection on WonderClub |