Barna Szabó - Finite Element Analysis

6 Chapter 6Table 6.1 Calibration of Peterson's material parameter a based on the random f...Table 6.2 Additional calibration data to augment Table 6.1.Table 6.3 24S‐T3 alloy: Fatigue limit values predicted by the random fatigue ...Table 6.4 24S‐T3 aluminum alloy: Computed values of Vk , βk , and for Table 6.5 Computed log likelihood values .Table 6.6 Results of validation experiments performed on notched 2024‐T3 alum...Table 6.7 Results of experiments for out‐of‐phase fully reversed axial and t...Table 6.8 Test records used for the calibration of Model B.Table 6.9 The outcome of the validation experiment for out‐of‐phase axial an...Table 6.10 The outcome of validation experiments for out‐of‐phase axial and ...Table 6.11 The computed log likelihood ( ) values for predictors A and B.Table 6.12 Ideal data ( ): Minimum 95% confidence intervals ( ).

7 Chapter 7Table 7.1 Example 7.2. Estimated range of the stress resultants Qx and Qy (N/m...Table 7.2 Example 7.4. The first non‐zero natural frequency (Hz) correspondin...Table 7.3 Example 7.5. Natural frequencies (Hz) for mode 20 computed using th...

8 Chapter 8Table 8.1 Displacement boundary conditions.Table 8.2 Displacement boundary conditions for the determination of the coeff...Table 8.3 Material properties of the hexagonal pattern (MPa and ).Table 8.4 Material properties of the square pattern (MPa and ).Table 8.5 Comparison of material properties (psi and ).Table 8.6 Displacement boundary conditions for the problem of localization.Table 8.7 Displacement boundary conditions.

9 Chapter 9Table 9.1 Critical values of the axial displacement (mm) and the rotation θ ...Table 9.2 Example 9.7: The results of computation for .Table 9.3 Example 9.10: Computed values of the quantities of interest with a...

10 Appendix CTable C.1 Fichera domain (elasticity). Estimation of the reference value of t...Table C.2 Fichera domain. h ‐Convergence, uniform mesh, (trunk space).

11 Appendix ETable E.1 Abscissas and weights for Gaussian quadratureTable E.2 Abscissas and weights for Gauss‐Lobatto quadrature

12 Appendix FTable F.1 Coordinates of one‐dimensional optimal sets and from reference [...Table F.2 Triangular coordinates of the interior interpolation points for .

13 Appendix GTable G.1 Lowest positive values of for three types of homogeneous boundary ...

14 Appendix HTable H.1 Values of the function .

15 Appendix ITable I.1 Average static properties of 24S‐T3 (2024‐T3) aluminum from referen...Table I.2 Summary of test records extracted from NACA & NASA technical report...Table I.3 Estimated parameters for the bilinear model.Table I.4 Estimated parameters for the fatigue limit model.Table I.5 Estimated parameters for the random fatigue limit model.

1 Chapter 1 Figure 1.1 Exact and approximate solutions for the problem in Example 1.1. Figure 1.2 Exercise 1.3: The function . Figure 1.3 Lagrange shape functions in one dimension, . Figure 1.4 Legendre shape functions in one dimension, . Figure 1.5 Typical finite element basis functions in one dimension. Figure 1.6 Recommended choice of the function in one dimension. Figure 1.7 Example 1.9. Values of computed by the direct method. Figure 1.8 Exercise 1.18. Notation. Figure 1.9 Relative error in energy norm. , . Figure 1.10 Relative error in energy norm. , . Figure 1.11 The solution , given by eq. (1.119), in the neighborhood of f... Figure 1.12 The exact solution for and its linear interpolant for , unifo... Figure 1.13 The ratio corresponding to the h version, . Figure 1.14 The ratio corresponding to the p version. Uniform mesh, 5 elem...