Three Dimensional Analysis - ITTI


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

Contentsii
Acknowledgementsiii
Notationiv
1 Introduction1
2 Three Dimensional Analysis3
2.1 Introduction3
2.2 Theory of Minimum Potential Energy3
3 Tetrahedral Elements13
3.1 Introduction13
3.2 Volume Coordinates Method13
3.3 Intrinsic Shape Functions15
3.4 Ten Node Tetrahedral Element19
3.5 Integration of Tetrahedral Elements23
4 Pentahedral Elements25
4.1 Introduction25
4.2 Six Node Pentahedral Element26
4.3 Fifteen Node Pentahedral Element29
4.4 Integration of Pentahedral Elements33
5 Hexahedral Elements34
5.1 Introduction34
5.2 Eight Node Hexahedral Element34
5.3 Twenty Node Hexahedral Element40
6 Numerical Integration45
7 Pressure Loading47
7.1 Introduction47
7.2 Virtual Work47
8 References52
Appendix53

Document Details

Reference

itti-4

Authors

Gordon. R

Language

English

Type

Publication

Date

2008-01-01

Organisations

UMIST

Region

Global

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