Finite Element Analysis. Barna Szabó

Чтение книги онлайн.

      1 Chapter 1Figure 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 1.6 Recommended choice of the function

in one dimension.

Figure 1.7 Example 1.9. Values of

computed by the direct method.

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...

      2 Chapter 2Figure 2.1 Control volume and notation for heat conduction.Figure 2.2 Notation for Example 2.2.Figure 2.3 Example 2.3: The solution u of (a) the periodic problem, (b) the ...Figure 2.4 Notation for two‐dimensional domains.Figure 2.5 Example 2.4: The solution domain and finite element mesh (mm).Figure 2.6 Control volume and notation for heat conduction in 2D.Figure 2.7 Notation for stress components.Figure 2.8 Spring boundary condition. Schematic representation.Figure 2.9 Symmetry and antisymmetry of vectors in two dimensions.Figure 2.10 Notation.Figure 2.11 Virtual displacements corresponding to (a) σ ₁₁ and (b) σ...Figure 2.12 Rigid body constraints. Notation.Figure 2.13 Example 2.7. NotationFigure 2.14 Notation.Figure 2.15 Notation.Figure 2.16 Notation for Exercise 2.7.

      3 Chapter 3Figure 3.1 Standard quadrilateral and triangular elements

      4 Chapter 4Figure 4.1 Reentrant corner. NotationFigure 4.2 The L‐shaped domain with a circular cut‐out. (a) Notation. (b) Th...Figure 4.3 The L‐shaped domain with a circular cut‐out (