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Advanced Finite Element Methodsby: Carlos Felippaen |
Advanced Finite Element Methods, a course taught at Colorado University by Prof. Carlos Felippa, has become one of the standard course in the finite element community.
This documents contains 36 chapters of his lectures in this course, (650 pages)
Suitable for postgraduate level students of Mechanical, Aerospace, Civil Engineering Students.
TABLE OF CONTENTS:
Part I: The Variational Principles of Mechanics (Chapters 1-9)
Part II: Axisymmetric Solids (Chapters 10-14)
Part III: General Solids (Chapters 15-21)
Part IV: Advanced Element Derivation Tools (Chapter 22-23)
Part V: Thin Plates, Membranes, Templates (Chapter 24-30)
Part VI: Shell Structures (Chapters 31-36)
CHAPTERS:
1. Overview
2. Decomposition of Poisson Problems
3. Weak and Variational Forms of the Poisson Equation
4. The Bernoulli- Euler Beam
5. Three-Dimensional Linear Elastostatics
6. The HR Variational Principle of Elastostatics
7. The Three-Field Mixed Principle of Elastostatics
8. Hybrid Variational Principles: Formulation
9. Hybrid Variational Principles of Elastostatics
10. Axisymmetric Solids (Structures of Revolution)
11. Axisymmetric Solid: Iso-P Elements
12. 4- and 8-Node Iso-P Quadrilateral Ring Elements
13. A Complete Axisymmetric FEM Program
14. Axisymmetric Solid Benchmark Problems
15. Solid Elements: Overview
16. The Linear Tetrahedron
17. The Quadratic Tetrahedron
18. Hexahedron Elements
19. Pyramid Solid Elements
20. Element Morphing
21. Element Fabrication Overview
22. The Patch Test
23. Kirchhoff Plates: Field Equations
24. Kirchhoff Plates: BCs and Variational Forms
25. Thin Plate Elements: Overview
26. Triangular Plate Displacement Elements
27. Finite Element Templates for Plate Bending
Compiled by: Mubeen, UET Lahore. (mubeen@myspyre.pk)
28. Optimal Membrane Triangles with Drilling Freedoms
29. Shell Structures: Basic Concepts
30. A Solid Shell Element
31. Triangular Shell Elements
32. Quadrilateral Shell Elements
33. Numerical examples for linear analysis
34. Numerical examples for linearized buckling analysis
35. Numerical examples for nonlinear analysis
36. A High Performance Thin Shell Triangle