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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... 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
and
.Figure 3.2 Trunk space. Illustration of spanning sets for
,
and
.Figure 3.3 Product space. Illustration of spanning set for the space
.Figure 3.4 Hierarchic shape functions for quadrilateral elements. Trunk spac...Figure 3.5 Isoparametric quadrilateral and triangular elements.Figure 3.6 Notation for (a) the standard triangular element and (b) quarter‐...Figure 3.7 Quadrilateral element with one curved side.Figure 3.8 Quadrilateral elements bounded by circular segments.Figure 3.9 The standard tetrahedral and pentahedral elements
and
.Figure 3.10 Meshing of a spherical surface with 202 triangular elements.Figure 3.11 Nodal forces associated with the 8‐node quadrilateral element. N...Figure 3.12 Example 3.3. Notation.Figure 3.13 Example 3.3. The smallest solution domain.
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 (
). Comparison of tw...Figure 4.4 The L‐shaped domain. (a) Notation, (b) radically graded 27‐elemen...Figure 4.5 The L‐shaped domain. Comparison of three discretization schemes. ...Figure 4.6 The L‐shaped domain with a circular cut‐out. (a) 18‐element mesh,...Figure 4.7 Definition of
.Figure 4.8 Example 4.2: The first two normalized eigenfunctions.Figure 4.9 Multi‐material interface, notation.Figure 4.10 Example 4.3. (a) Notation. (b) Value of the determinant of the m...Figure 4.11 The Fichera domain, 189‐element mesh. (a) Uniform mesh:
,
,
....Figure 4.12 The Laplace problem on the Fichera domain. Comparison of three d...Figure 4.13 A problem of elasticity on an L‐shaped domain. Comparison of thr...Figure 4.14 (a) A typical compact tension test specimen. (b) A typical finit...Figure 4.15 One quarter of a compact tension test specimen. (a) Mesh detail,...Figure 4.16 (a) Loading by a concentrated force. (b) Loading by a step funct...Figure 4.17 Poisson ratio locking. Notation.Figure 4.18 (a) Rigid circular inclusion in an infinite
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