NAFEMS Workbook of Examples

The Workbook forms one of a series of NAFEMS publications aimed at promoting awareness of Finite Element theory and practice. In particular, this document complements the Finite Element Primer and the Guidelines to Finite Element Practice and is intended to be used both as supplementary documentation to the NAFEMS recommended 30 hour Finite Element training course (summarised in Appendix A), and as a personal reference for the junior analyst.

Throughout the workbook the exercises are kept geometrically simple, to minimise the modelling effort required, ensuring that the reader can complete each task without resorting to the use of graphical preprocessors.

Contents

GENERAL INTRODUCTION

Purpose And Layout of Workbook

Overview of Examples

EXERCISE 1 – SINGLE BAR ELEMENT

Problem Specification

Analysis Specification

Discussion

Introduction
Theory
Target solution
Discussion of Analyses
Discussion of Further Analyses

EXERCISE 2 – SINGLE BEAM ELEMENT

Problem Specification

Analysis Specification

Discussion

Introduction
Target solution
Discussion of Analyses
Discussion of Further Analyses

EXERCISE 3 – TWO-DIMENSIONAL PATCH TEST

Problem Specification

Analysis Specification

Discussion

Introduction
Target Solution
Discussion of Analyses
Discussion of Further Analyses

EXERCISE 4 – CONTINUUM BEAM – TIP LOADED

Problem Specification

Analysis Specification

Discussion

Introduction
Theory
Target Solutions
Discussion of Analyses
Discussion of Further Analyses

EXERCISE 5 – INFINITE THICK PIPE

(Treated as 2D)

Problem Specification

Analysis Specification

Discussion

Introduction
Theory
Target Solutions
Discussion of Analyses
Discussion of Further Analyses

EXERCISE 6 – BIMETALLIC STRIP

Problem Specification

Analysis Specification

Discussion

Introduction
Theory
Target Solution
Discussion of Analyses
Discussion of Further Analyses

EXERCISE 7 – TAPERED CANTILEVER

Problem Specification

Analysis Specification

Discussion

Introduction
Theory
Target Solution
Discussion of Analyses
Discussion of Further Analyses

EXERCISE 8 – HOLE IN A PLATE UNDER TENSION

Problem Specification

Analysis Specification

Discussion

Introduction
Target Solution
Discussion of Analyses
Discussion of Further Analyses

EXAMPLE 9 – FLAT BAR WITH EDGE NOTCHES

Problem Specification

Analysis Specification

Discussion

Introduction
Theory
Target Solution
Discussion of Analyses

EXERCISE 10 – CYLINDRICAL SHELL

Problem Specification

Analysis Specification

Discussion

Introduction
Theory
Target Solution
Discussion of Analyses
Discussion of Further Analyses

APPENDIX A : NAFEMS 30 HOUR F.E. COURSE
APPENDIX B : REFERENCES