Mixed Method in Elasticity in the Analysis of Layered Beams

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TABLE OF CONTENTS

ABSTRACT . . ACKNOWLEDGEMENT

LIST OF TABLES

LIST OF FIGURES

LIST OF SYMBOLS

CHAPTER ONE: INTRODUCTION . * . . . . 

1.1 Approach To Elasticity Problems-General .. 

1.2 Reduction Of A Two-Dimensional Problem To A One-Dimensional One . . . . 

1.3 Vlasov's Mixed Method , . . 

1.4 Aim And Scope . @ . . 

1.5 Review Of Literature .a . . 

CHAPTER TWO: FORMULATIONS OF THE GOVERNING EQUATIONS .. 0. . . 

2.1 Plane Stress Formulation . . a . 

2.2 Plane Strain Case . . . . . . 

2.3 Application To Horno~enaus Beams In

General . . . . . rn . 

2.4 Application To Layered Beams In General

2.4.1 Two-Layered Beam rn . . 

2.4.2 Three-Layered Beam . . . .

CHAPTER THREE: APPLICATIONS OF THE GOVERNING RELATIONS TO UNIFORULY-LOADED, SIMPLY SUPPORTED HOMOGENOUS AND LAYERED BEAMS .. . . e

3.1 Homogenous Beam . . . o . . .. 

3.1.1 The Solutions . . . . . . I . 

3.1.2 Numerical Results *a . . . 

3.1.3 Discussions . . . . . . . .

Two-Layered Beam . . 

The Solutluns . . 

Yunerical Results

Discuflsims *.

Three-tayared €laam . ,

The Solutions a

Numesical Results

Discussions . .

CHAPTER FOUR: CONCLUSIONS

REFERENCES . . ..

APPENDIX . b

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APA

Consults, E. & Chuks, O (2023). Mixed Method in Elasticity in the Analysis of Layered Beams. Afribary. Retrieved from https://afribary.com/works/mixed-method-in-elasticity-in-the-analysis-of-layered-beams

MLA 8th

Consults, Education, and OJIAKO Chuks "Mixed Method in Elasticity in the Analysis of Layered Beams" Afribary. Afribary, 11 Jan. 2023, https://afribary.com/works/mixed-method-in-elasticity-in-the-analysis-of-layered-beams. Accessed 31 Jan. 2023.

MLA7

Consults, Education, and OJIAKO Chuks . "Mixed Method in Elasticity in the Analysis of Layered Beams". Afribary, Afribary, 11 Jan. 2023. Web. 31 Jan. 2023. < https://afribary.com/works/mixed-method-in-elasticity-in-the-analysis-of-layered-beams >.

Chicago

Consults, Education and Chuks, OJIAKO . "Mixed Method in Elasticity in the Analysis of Layered Beams" Afribary (2023). Accessed January 31, 2023. https://afribary.com/works/mixed-method-in-elasticity-in-the-analysis-of-layered-beams