Elements of Elasticity ：The Commonwealth and International Library: Structures and Solid Body Mechanics Division

Publication subTitle ：The Commonwealth and International Library: Structures and Solid Body Mechanics Division

Author： Dugdale D. S.;Neal B. G.

Publisher： Elsevier Science‎

Publication year： 2014

E-ISBN: 9781483191201

P-ISBN(Paperback): 9780082034957

P-ISBN(Hardback): 9780082034957

Subject： TB302.3 Mechanical testing

Language： ENG

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Description

Elements of Elasticity details the fundamental concepts in the theory of elasticity. The title emphasizes discussing the essential formulas, along with elementary matters.
The text first covers stress and strain, and then proceeds to tackling the elasticity equation. Next, the selection covers plane stress and strain, along with curvilinear coordinates and polar coordinates. The next chapter deals with rotating discs and thick cylinders. Chapter 8 details strain energy in plates, while Chapter 9 discusses torsion. The last chapter covers stress propagation.
The book will be of great interest to engineers, particularly those who deal with fracture mechanics.

Chapter

Front Cover

Elements of Elasticity

Table of Contents

AUTHOR'S PREFACE

CHAPTER 1. STRAIN

1.1. Coordinate systems

1.2. Displacements

1.3. Strain components

1.4. Transformation of strains

1.5. Compatibility of strains

1.6. Displacement functions

1.7. Increase in area

Problems

CHAPTER 2. STRESS

2.1. Definitions

2.2. Stress equilibrium equations

2.3. Transformation of stresses

2.4. Graphical representation

2.5. Stress at boundaries

Problems

CHAPTER 3. ELASTICITY EQUATIONS

3.1. Linear medium

3.2. Dilatation and distortion

3.3. Elastic constants

3.4. Strain energy

Problems

CHAPTER 4. PLANE STRESS AND STRAIN

4.1. Definitions

4.2. Stress and displacement functions

4.3. Body forces and thermal strain

4.4. Analysis of strain gauge readings

4.5. Problems in rectangular coordinates

Problems

CHAPTER 5. CURVILINEAR COORDINATES

5.1. Alternative coordinates

5.2. Conformal transformations

5.3. Derivatives in curvilinear coordinates

5.4. Stress and strain

Problems

CHAPTER 6. POLAR COORDINATES

6.1. General equations

6.2. Axial symmetry

6.3. Harmonic solutions

6.4. Circular hole in a sheet

6.5. Stresses giving a resultant force

6.6. Force at apex of wedge

Problems

CHAPTER 7. ROTATING DISCS AND THICK CYLINDERS

7.1. Basic equations

7.2. Solid disc and disc with central hole

7.3. Rotating cylinder

7.4. Cylinders under internal and external pressure

7.5. Shrinkage stresses

7.6. Graphical construction

Problems

CHAPTER 8. STRAIN ENERGY IN PLATES

8.1. Energy balance for plane stress

8.2. Internal stress

8.3. Strain energy in flexure

8.4. Strain in a thin plate

8.5. Compatibility equation

8.6. Internal stress in a thin plate

Problems

CHAPTER 9. TORSION

9.1. Torsion of a uniform prism

9.2. Various solid sections

9.3. Hollow sections

9.4. Membrane analogy

Problems

CHAPTER 10. STRESS PROPAGATION

10.1. One-dimensional stress waves

10.2. Reflection from a boundary

10.3. Harmonic excitation

Problems

APPENDIX: CONDENSED SUFFIX NOTATION

INDEX

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