Название: Finite Element Analysis
Автор: Barna Szabó
Издательство: John Wiley & Sons Limited
Жанр: Физика
isbn: 9781119426462
isbn:
16 9 Non‐linear models 9.1 Heat conduction 9.2 Solid mechanics 9.3 Chapter summary Notes
17 Appendix A: Appendix ADefinitionsDefinitions A.1 Normed linear spaces, linear functionals and bilinear forms A.2 Convergence in the space A.3 The Schwarz inequality for integrals Notes
18 Appendix B: Appendix BProof of h‐convergenceProof of h‐convergence
19 Appendix C: Appendix CConvergence in 3D: Empirical resultsConvergence in 3D: Empirical results
20 Appendix D: Appendix DLegendre polynomialsLegendre polynomials D.1 Shape functions based on Legendre polynomials
21 Appendix E: Appendix ENumerical quadratureNumerical quadrature E.1 Gaussian quadrature E.2 Gauss‐Lobatto quadrature Note
22 Appendix F: Appendix FPolynomial mapping functionsPolynomial mapping functions F.1 Interpolation on surfaces
23 Appendix G: Appendix GCorner singularities in two‐dimensional elasticityCorner singularities in two‐dimensional elasticity G.1 The Airy stress function G.2 Stress‐free edges Notes
24 Appendix H: Appendix HComputation of stress intensity factorsComputation of stress intensity factors H.1 Singularities at crack tips H.2 The contour integral method H.3 The energy release rate Note
25 Appendix I: Appendix IFundamentals of data analysisFundamentals of data analysis I.1 Statistical foundations I.2 Test data I.3 Statistical models I.4 Ranking I.5 Confidence intervals Notes
27 Appendix K: Appendix KUseful algorithms in solid mechanicsUseful algorithms in solid mechanics K.1 The traction vector K.2 Transformation of vectors K.3 Transformation of stresses K.4 Principal stresses K.5 The von Mises stress K.6 Statically equivalent forces and moments Notes
28 Bibliography
29 Index
List of Tables
1 Chapter 1Table 1.1 Local and global numbering in Example 1.6.Table 1.2 Exact values of the potential energy for , and .Table 1.3 Example: Computed and estimated values of the potential energy . Un...Table 1.4 Example: Element‐by‐element and total relative errors in energy nor...Table 1.5 Example: Element‐by‐element and total relative errors in energy nor...Table 1.6 Example:p‐Convergence of the 24th eigenvalue in Example 1.16.Table 1.7 The computed values of