This manual is part of a set of training material for finite element analysis software packages, developed by the Manchester Computer Centre UMIST Support Unit under the Universities Funding Council, Information Systems Committee (UFC,ISC) Information Technology Training Initiative (ITTI), during 1993 -1995.
This module was developed and written by Dr Rae S. Gordon, FE Project Officer, MCC UMIST Support Unit
The illustrations for this document were prepared by Mrs Mary McDerby of the Manchester Computer Centre Graphics Unit and Dr Rae S. Gordon of the Manchester Computer Centre UMIST Support Unit.
The material was updated in 2007 under the supervision of Dr Jim Wood, Department of Mechanical Engineering, University of Strathclyde, who was also a member of the Steering Committee for the original ITTI project. The updating involved conversion of all text documents to pdf; conversion of all associated overheads to Powerpoint and conversion of all figures to jpeg format. Colour was also added to figures.
This updating was funded by the Higher Education Academy Engineering Subject Centre.
Contents | ii |
Acknowledgements | iii |
Notation | iv |
1 Introduction | 1 |
2 Three Dimensional Analysis | 3 |
2.1 Introduction | 3 |
2.2 Theory of Minimum Potential Energy | 3 |
3 Tetrahedral Elements | 13 |
3.1 Introduction | 13 |
3.2 Volume Coordinates Method | 13 |
3.3 Intrinsic Shape Functions | 15 |
3.4 Ten Node Tetrahedral Element | 19 |
3.5 Integration of Tetrahedral Elements | 23 |
4 Pentahedral Elements | 25 |
4.1 Introduction | 25 |
4.2 Six Node Pentahedral Element | 26 |
4.3 Fifteen Node Pentahedral Element | 29 |
4.4 Integration of Pentahedral Elements | 33 |
5 Hexahedral Elements | 34 |
5.1 Introduction | 34 |
5.2 Eight Node Hexahedral Element | 34 |
5.3 Twenty Node Hexahedral Element | 40 |
6 Numerical Integration | 45 |
7 Pressure Loading | 47 |
7.1 Introduction | 47 |
7.2 Virtual Work | 47 |
8 References | 52 |
Appendix | 53 |
Reference | itti-4 |
---|---|
Author | Gordon. R |
Language | English |
Audiences | Analyst Student |
Type | Publication |
Date | 1st January 2008 |
Organisation | UMIST |
Region | Global |
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