AIRY STRESS FUNCTION FOR TWO DIMENSIONAL INCLUSION ...

TABLE OF CONTENTS
ACKNOWLEDGEMENTS...................................................................................... ii
ABSTRACT.............................................................................................................. iii
LIST OF ILLUSTRATIONS.................................................................................... vi
Chapter
1. INTRODUCTION………………………………………………………… 1
1.1 Overview ………………………………………………………………. 1
1.2 Use of Symbolic Software ...................................................................... 3
2. FORMULATION OF THE AIRY STRESS FUNCTION ........................... 6
2.1 Airy Stress Function .............................................................................. 6
2.1.1 Polar Coordinate Formulation.................................................. 8
2.2 Complex Variable Methods…………………………………………….. 9
2.2.1 Plane Elasticity Problem using Complex Variables…………. 10
2.3 Investigation of Complex Potentials…………………………………..... 13
2.3.1 Finite Simply Connected Domain…………………………….. 13
2.3.2 Finite Multiply Connected Domain…………………………... 14
2.3.3 Infinite Domain……………………………………………….. 15
3. ADVANCED APPLICATIONS OF THE AIRY STRESS FUNCTION…… 17
3.1 Finite Plate with a Hole Subjected to Tensile Loading…………….. 17
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