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Contents

Preface
Glossary of Symbols


I. Getting Started

1. Concrete Floor
1.1 Finite Element Model
1.1.1 Launching iDIANA
1.1.2 Geometry Definition and Meshing
1.1.3 Material and Physical Properties
1.1.4 Boundary Constraints
1.1.5 Loading
1.1.6 Writing an Input Data File
1.2 Running the Analysis
1.3 Analysis Results
1.3.1 Selecting and Combining Load Cases
1.3.2 Presenting Results as Contour Plot
1.3.3 Presenting Results in a Deformed Model
1.3.4 Exporting Results to a File
1.3.5 Presenting Results in a Graph
2. Cantilever Beam
2.1 Finite Element Model
2.1.1 Geometry Definition
2.1.2 Meshing
2.1.3 Material and Physical Properties
2.1.4 Creation of the Data File
2.2 Performing the Analysis
2.2.1 Initiation
2.2.2 Analysis Settings
2.2.3 Running the Analysis
2.3 Analysis Results
2.3.1 Displacements
2.3.2 Bending Moments
2.3.3 Cauchy Stresses

II. Linear Static Analysis

3. Simple Lattice Frame
3.1 Finite Element Model
3.1.1 Geometry
3.1.2 Constraints and Properties
3.1.3 Mesh Generation and Check
3.2 Single-job Analysis
3.2.1 Tabular Output
3.2.2 Interactive Postprocessing
3.3 Add New Loading
3.3.1 Preprocessing
3.3.2 Analysis Job
3.3.3 Interactive Postprocessing
4. Stayed Steel Chimney
4.1 Finite Element Model
4.1.1 Geometry Definition
4.1.2 Boundary Conditions and Loading
4.1.3 Material and Physical Properties
4.1.4 Mesh Generation and Check
4.2 Analysis
4.3 Interactive Postprocessing
4.3.1 Combination of Load Cases
4.3.2 Drawing Displacements and Stresses
5. Cable-stayed Bridge
5.1 Finite Element Model
5.1.1 Geometry Definition
5.1.2 Material and Physical Properties
5.1.3 Supports
5.1.4 Meshing
5.2 Prestress Optimization for Stays
5.2.1 Loading
5.2.2 Linear Static Analysis
5.2.3 Optimization Analysis
5.3 Permanent Load
5.3.1 Check via Linear Static Analysis
5.4 Influence Line for Mobile Force Load
5.4.1 Modifying the Model
5.4.2 Influence Analysis
5.4.3 Drawing the Influence Line
5.5 Combined Loading
5.5.1 Traffic Load
5.5.2 Linear Static Analysis
5.5.3 Deformation
5.5.4 Axial Stresses in Stays
5.5.5 Bending Moments
6. Skew Plate
6.1 Finite Element Mesh
6.1.1 Geometry and Supports
6.1.2 Meshing
6.1.3 Loading
6.1.4 Properties
6.2 Influence Field Analysis
6.3 Postprocessing the Influence Field
7. Smooth Stress of Membrane
7.1 Finite Element Model
7.1.1 Geometry
7.1.2 Supports and Loading
7.1.3 Material and Physical Properties
7.1.4 Meshing and Check
7.2 Analysis without Smoothing
7.2.1 Tabular Output of Stresses
7.2.2 Deformation and Normal Stress
7.2.3 Shear Stress
7.2.4 Smoothing Shear Stresses in Postprocessing
7.3 Analysis with Smooth Shear Stresses
7.3.1 Deformation and Shear Stress
7.4 Analysis with Constant Shear
7.4.1 Tabular Output of Stresses
7.4.2 Normal Stress
7.4.3 Shear Stress
8. Center Cracked Plate
8.1 Finite Element Model
8.1.1 Geometry
8.1.2 Meshing
8.1.3 Material and Physical Properties
8.1.4 Loading and Boundary Conditions
8.1.5 Adaptation of Node Positions
8.2 Linear Elastic Analysis
8.2.1 Displacement and Stress
8.2.2 Verification of LEFM Analysis Results
8.3 Fatigue Failure Analysis
8.3.1 Wöhler Diagram and Loads
8.3.2 Performing the Analysis
8.3.3 Load Cycles to Failure

III. Dynamic Analysis

9. Earthquake on Five-story Building
9.1 Finite Element Model
9.1.1 Geometry
9.1.2 Meshing
9.1.3 Material and Physical Properties
9.1.4 Boundary Conditions
9.2 Eigenvalue Analysis
9.2.1 Eigenfrequencies
9.2.2 Eigenmodes
9.3 Direct Response Analysis
9.3.1 Displacements
9.3.2 Velocities
9.3.3 Accelerations
9.4 Modal Response Analysis
9.4.1 Displacements
9.4.2 Velocities
9.4.3 Accelerations
9.5 Earthquake Spectral Analysis
9.5.1 Earthquake Spectrum
9.5.2 Spectral Response Analysis
9.5.3 Displacements
9.5.4 Forces
9.5.5 Equivalent stress
10. Explosion near Tank
10.1 Loading
10.2 Material Properties
10.2.1 Foundation Spring
10.2.2 Reinforcement Steel
10.2.3 Concrete
10.2.4 Input Data
10.3 Finite Element Idealization
10.3.1 Shell Elements
10.3.2 Spring Elements
10.3.3 Reinforcement
10.4 Linear Static Analysis
10.4.1 Loading
10.4.2 Performing the Analysis
10.4.3 Checking the Model
10.4.4 Displacements
10.4.5 Forces and Moments
10.5 Eigenvalue Analysis
10.5.1 Dynamic Load Factor
10.5.2 Performing the Analysis
10.5.3 Eigenfrequencies
10.5.4 Eigenmodes
10.6 Transient Nonlinear Dynamic Analysis
10.6.1 Rayleigh Damping Coefficients
10.6.2 Load-Time Diagrams
10.6.3 Organization of Input Data and Commands
10.6.4 Time Steps
10.6.5 Performing the Analysis
10.6.6 Time History Plots
10.6.7 Crack Pattern
11. Moving Wall in Still Water
11.1 Finite Element Model
11.1.1 Geometry
11.1.2 Meshing
11.1.3 Material Properties
11.1.4 Boundary Conditions
11.2 Eigenvalue Analysis of Dry Wall
11.2.1 Eigenfrequencies
11.2.2 Eigenmodes
11.3 Fluid-Structure Interaction Analysis
11.3.1 Eigenfrequencies
11.3.2 Eigenmodes
11.3.3 Periodic Response

IV. Nonlinear Static and Transient Analysis
12. Plate with Circular Hole
12.1 Finite Element Model
12.1.1 Geometry
12.1.2 Thickness and Material Properties
12.1.3 Boundary Constraints
12.1.4 Meshing
12.1.5 Saving the Model
12.2 Preliminary Linear Analysis
12.2.1 Stresses
12.3 Nonlinear Analysis of Aluminum Model
12.3.1 Deformation
12.3.2 Load-Displacement Diagram
12.3.3 Plasticity Status
12.3.4 Stresses
12.4 Kinematic Hardening Material Model
12.4.1 Nonlinear Analysis
12.4.2 Deformation
12.4.3 Plasticity Status
12.4.4 Stresses
12.4.5 Hardening Behavior
12.5 User-supplied Von Mises Material Model
12.5.1 Theory
12.5.2 Fortran Code
12.5.3 Model with User-supplied Material
12.5.4 Nonlinear Analysis
12.5.5 Deformation
12.5.6 Stresses
12.5.7 User-defined Status Variable
13. Rubber Conveyor Belt
13.1 Finite Element Model
13.1.1 Geometry
13.1.2 Creating Sets
13.1.3 Meshing and Check
13.1.4 Material Properties
13.1.5 Boundary Conditions
13.2 Preliminary Linear Elastic Analysis
13.2.1 Displacements
13.2.2 Stresses
13.3 Nonlinear Analysis
13.3.1 Displacements
13.3.2 Stresses
14. Squeezed Disc
14.1 Finite Element Model
14.1.1 Geometry
14.1.2 Meshing
14.1.3 Material and Physical Properties
14.1.4 Boundary Conditions
14.2 Linear Analysis
14.2.1 Deformation
14.3 Nonlinear Contact Analysis
14.3.1 Deformation
14.3.2 Contact Force
14.3.3 Von Mises Stress
14.3.4 Animation
14.3.5 Displacement and Stress along Disc Outline
15. Wedge in Rock Mass
15.1 Finite Element Model
15.1.1 Element Mesh
15.1.2 Material and Physical Properties
15.1.3 Boundary Conditions
15.1.4 Gluing the Parts Together
15.2 Preliminary Linear Analysis
15.2.1 Deformation
15.2.2 Principal Cauchy Stresses
15.2.3 Interface Normal Tractions
15.3 Nonlinear Analysis
15.3.1 User-supplied Coulomb Friction Model
15.3.2 Fortran Code
15.3.3 Performing the Analysis
15.3.4 Deformation
15.3.5 Principal Cauchy Stresses
15.3.6 Interface Normal Tractions
15.3.7 User-defined Status Variables

V. Stability Analysis
16. Buckling of Arch
16.1 Finite Element Model
16.2 Euler Buckling Analysis
16.2.1 Plotting the Buckling Mode
17. Buckling of Thin Plate
17.1 Finite Element Model
17.1.1 Geometry and Meshing
17.1.2 Material and Thickness
17.1.3 Supports and Loading
17.2 Preliminary Linear Analysis
17.2.1 Plotting the Deformation
17.3 Euler Buckling Analysis
17.3.1 Plotting the Buckling Mode
18. Postbuckling of Thin Plate
18.1 Finite Element Model
18.1.1 Geometry and Meshing
18.2 Euler Buckling Analysis
18.2.1 Plotting the Buckling Mode
18.3 Perturbation Analysis
18.3.1 Plotting Second Order Deformation
18.4 Elastic Postbuckling Analysis
18.4.1 Load-Displacement Graphs
18.4.2 Plotting the Postbuckling Deformation
18.5 Postbuckling Analysis with Plasticity
18.5.1 Mode Reduction
18.5.2 Full Set of Displacements
19. Nonlinear Buckling of Imperfect Beam
19.1 Finite Element Model and Linear Analysis
19.2 Euler Buckling Analysis and Imperfection
19.3 Nonlinear Buckling Analysis
20. Nonlinear Buckling of Shell
20.1 Finite Element Model
20.1.1 Shapes
20.1.2 Geometry
20.1.3 Material and Physical Properties
20.1.4 Boundary Conditions
20.1.5 Loading
20.1.6 Meshing
20.1.7 Checking the Model
20.2 Linear Elastic Analysis
20.2.1 Deformation
20.3 Euler Buckling Analysis
20.3.1 Buckling Values
20.3.2 Buckling Modes
20.4 Nonlinear Buckling Analysis
20.4.1 Nonlinear Deformation
21. Postbuckling of T-Beam
21.1 Finite Element Model
21.1.1 T-profile in Two-dimensional Space
21.1.2 Sweep T-profile to Three-dimensional Space
21.1.3 Material and Physical Properties
21.1.4 Supports and Loading
21.1.5 Meshing
21.1.6 Checking the Model
21.2 Preliminary Linear Analysis
21.2.1 Displacements
21.2.2 Axial Stress
21.3 Euler Buckling Analysis
21.3.1 Buckling Values
21.3.2 Buckling Modes
21.4 Postbuckling Analysis
21.4.1 Load-Displacement Trajectory
21.4.2 Postbuckling Deformation
22. Postbuckling of Square Tube
22.1 Finite Element Model
22.1.1 Profile in Two-dimensional Space
22.1.2 Sweep Profile to Three-dimensional Space
22.1.3 Material and Physical Properties
22.1.4 Boundary Conditions
22.1.5 Loading
22.1.6 Meshing
22.1.7 Checking the Model
22.1.8 Undeformed End-plane
22.2 Euler Buckling Analysis
22.2.1 Buckling Values
22.2.2 Buckling Modes
22.3 Postbuckling Analysis
22.3.1 Load-Displacement Trajectories
22.3.2 Postbuckling Deformation

VI. Potential Flow Analysis

23. Heat Flow in Prefabricated Floor
23.1 Finite Element Model
23.1.1 Geometry
23.1.2 Mesh Generation and Loading
23.1.3 Material Properties
23.2 Steady-state Heat Flow Analysis
23.2.1 Temperatures
23.2.2 Heat Fluxes
24. Two-dimensional Heat Transfer with Convection
24.1 Finite Element Model
24.1.1 Geometry
24.1.2 Meshing
24.1.3 Material Properties
24.1.4 Boundary Conditions
24.2 Steady-state Analysis
24.2.1 Temperatures
24.2.2 Fluxes
25. One-dimensional Heat Transfer with Radiation
25.1 Finite Element Model
25.2 Nonlinear Steady-state Analysis
25.2.1 Verification
26. Heat Flow in Rod
26.1 Finite Element Model
26.1.1 Geometry
26.1.2 Meshing
26.1.3 Material and Physical Properties
26.1.4 Boundary Flux
26.2 Nonlinear Transient Analysis
26.2.1 Temperatures
27. Solidification in Perfect Insulation
27.1 Finite Element Model
27.2 Nonlinear Transient Analysis
27.2.1 Initialization and First Time Step
27.2.2 Subsequent Time Steps
27.2.3 Solidification Front in Time
28. Reynolds Lubrication
28.1 Finite Element Mesh
28.1.1 Geometry
28.1.2 Meshing
28.1.3 Material and Physical Properties
28.1.4 Loading and Boundary Conditions
28.2 Lubrication Analysis
28.2.1 Verification
28.2.2 Pressure Distribution
29. Parameters of a Rectangular Cross-section
29.1 Finite Element Model
29.1.1 Geometry
29.1.2 Meshing
29.1.3 Material Properties
29.2 Cross-section Analysis
29.2.1 Cross-sectional Properties
29.2.2 Shear Stresses
30. Parameters of an L-shape Cross-section
30.1 Finite Element Mesh
30.1.1 Geometry
30.1.2 Meshing
30.1.3 Material Properties
30.2 Cross-section Analysis
30.2.1 Cross-sectional Properties
30.2.2 Shear Stresses

VII. Coupled Flow-Stress Analysis

31. One-dimensional Heat Transfer and Linear Elasticity
31.1 Finite Element Model
31.2 Linear Steady-state Heat Flow Analysis
31.2.1 Temperatures
31.3 Switch to Structural Analysis
31.3.1 Deformation and Strains
31.4 Nonlinear Steady-state Heat Flow Analysis
31.4.1 Temperatures
31.5 Switch to Structural Analysis
31.5.1 Deformation and Strains

VIII. Phased Analysis

32. Composed Beam
32.1 Finite Element Model
32.1.1 Geometry
32.1.2 Material and Physical Properties
32.1.3 Supports and Load
32.1.4 Meshing
32.1.5 Checking the Model
32.2 Phase 1
32.2.1 Analysis results
32.3 Phase 2
32.3.1 Analysis Results
33. Assemblage of Bridge Sections
33.1 Phase 1
33.2 Phase 2
33.3 Phase 3
33.4 Phase 4
33.5 Phase 5
33.6 Phase 6
33.7 Phase 7
33.8 Phase 8
33.9 Phase 9
33.10 Phase 10
33.11 Phase 11
34. Construction of a Tunnel Section
34.1 Finite Element Model
34.1.1 Geometry Definition
34.1.2 Boundary Constraints
34.1.3 Meshing
34.1.4 Loads
34.1.5 Material and Physical Properties
34.1.6 Writing an Input Data File
34.2 Nonlinear Phased Analysis
34.2.1 Phase 1
34.2.2 Phase 2
34.2.3 Phase 3
34.2.4 Phase 4
34.2.5 Conclusion

IX. Solution Procedures
35. Free Vibration of Thin Plate
35.1 Finite Element Model
35.2 First Three Eigenmodes
35.2.1 Model Check and Eigenfrequencies
35.2.2 Drawing the Eigenmodes
35.3 Six More Eigenmodes
35.3.1 Eigenfrequencies and Verification
35.3.2 Drawing the Eigenmodes

X. Pre- and Postprocessing
36. Tensile Test Specimen
36.1 Finite Element Model
36.1.1 Geometry
36.1.2 Meshing
36.1.3 Material Properties
36.1.4 Supports and Loading
36.2 Linear Elastic Analysis
36.3 Assessment of Analysis Results
36.3.1 Displacements
36.3.2 Stresses
37. DXF File for Hoisting Hook
37.1 Read DXF File
37.2 Finite Element Model
37.2.1 Geometry
37.2.2 Meshing
37.2.3 Loading
37.2.4 Supports
37.2.5 Material and Physical Properties
37.3 Analysis and Postprocessing
37.3.1 Deformation
37.3.2 Stresses
38. Segmented Concrete Tunnel Lining
38.1 Finite Element Model
38.1.1 Geometry
38.1.2 Meshing
38.1.3 Boundary Constraints
38.1.4 Loading
38.1.5 Material and Physical Properties
38.1.6 Closing the Interfaces
38.2 Analysis and Postprocessing
38.2.1 Deformation and Bending Moments
38.2.2 Interface Normal and Shear Strains

XI. User-supplied Subroutines

39. Getting Started with User-supplied Subroutines
39.1 UNIX Systems
39.1.1 Questions and Tasks
39.1.2 Answers
39.2 Windows Systems
39.2.1 Questions and Tasks
39.2.2 Answers
40. Nonlinear Elasticity
40.1 Nonlinear Elastic Analysis
40.1.1 Input Data
40.1.2 Fortran Code for Subroutines
40.1.3 Analysis
40.1.4 Convergence Rate
40.1.5 Analysis Results
40.2 Thermoelastic Nonlinear Analysis
40.2.1 Input Data
40.2.2 Fortran Code for Subroutines
40.2.3 Analysis
40.2.4 Convergence Rate
40.2.5 Analysis Results
41. Rate-dependent Elasticity
41.1 Undamped System
41.1.1 Input Data
41.1.2 Fortran Code for Subroutine
41.1.3 Analysis
41.1.4 Convergence Rate
41.1.5 Analysis Results
41.2 Damped System
41.2.1 Input Data
41.2.2 Analysis
41.2.3 Convergence Rate
41.2.4 Analysis Results
42. Damage Model
42.1 Finite Element Model
42.2 Fortran Code for Subroutine
42.3 Analysis
42.4 Convergence Rate
42.5 Resulting Strains

XII. Appendix

A. Available Element Types
B. Keywords
B.1 Analysis Type
B.2 Elements
B.3 Material Properties
B.4 Loading
B.5 Constraints
B.6 Options
B.7 Preprocessing
B.8 Postprocessing
B.9 Results
B.10 Class

Bibliography
Index
About this document ...


DIANA-9.3 User's Manual - Analysis Examples
First ed.

Copyright (c) 2008 by TNO DIANA BV.