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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 .

2 Chapter 2Table 2.1 Exercise 2.30: Boundary conditions

3 Chapter 3Table 3.1 Example 3.3. Nodal forces (kN). The notation is shown in Fig. 3.12(...Table 3.2 Example 3.3. Nodal forces (kN). Solution on the shaded domain shown...

4 Chapter 4Table 4.1 L‐shaped domain, radical mesh ( ), 27 elements, product space. Esti...Table 4.2 L‐shaped domain, radical mesh ( ), 27 elements, product space. Esti...Table 4.3 Example 4.1: The results of extraction by the contour integral meth...Table 4.4 The Fichera domain.p‐convergence, radical mesh , , product space....Table 4.5 Fichera domain.h‐convergence, uniform mesh refinement, (product s...Table 4.6 The Fichera domain.p‐convergence, uniform mesh, , product space.Table 4.7 L‐shaped domain, free‐free boundary conditions, plane strain, , rad...Table 4.8 Convergence of the strain energy ( ). Rigid circular inclusion in a...Table 4.9 Example 4.6. Rigid circular inclusion in an infinite plate under te...Table 4.10 Example 4.7: Estimated error in energy norm.Table 4.11 Geometric and material properties.

5 Chapter 5Table 5.1 Legacy codes: Summary of results.Table 5.2 Numerical simulation codes: Summary of results.Table 5.3 Solution by classical methods: Summary of results.Table 5.4 Fastener forces estimated by the method described in Appendix JTable 5.5 Fastener forces estimated by the linear spring modelTable 5.6 Fastener forces estimated by the nonlinear spring modelTable 5.7 Fastener forces estimated by the multibody contact modelTable 5.8 Example 5.1. Fastener forces estimated by the nonlinear spring mode...Table 5.9 Fastener forces estimated by finite element modelingTable 5.10 Quantities of interest from finite element modeling and Model 3 (k...Table 5.11 Linear model. Computed values of the strain energy ( mm).Table 5.12 Linear model. Computed stress resultants in the local coordinate s...Table 5.13 Nonlinear model, mm. Computed stress resultants in the global coo...Table 5.14 Linear model of the coil segment. Computed values of the strain en...

6 Chapter 6Table 6.1 Calibration of Peterson's material parametera 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 ofVk , 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 resultantsQx 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.