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AvE4EvA, 2013. — 223 p. — ISBN-10: 87-403-0855-3; ISBN-13: 978-87-403-0855-6.
The level of knowledge content given in this book is designed for the students who have completed elementary mechanics of solids for stresses and strains associated with various geometries including simple trusses, beams, shafts, columns, etc.Fracture mechanics is included in this book with necessary preliminary steps for those who might have had difficulties with the subject in the past.At the successful completion of understanding the content, the students will be able to reach a stage where they can do self-directed learning at any further advanced level in the area of mechanics of solids. The emphasis is given on the fundamental concepts for students to quickly follow through for an advanced level if required in the future.Brief Contents Preface List of Symbols Stress And Strain Linear Elastic Stress-Strain Relations Circular Plates Fundamentals For Theory Of Elasticity Linear Elastic Stress Field In Cracked Bodies Plastic Deformation Around A Crack Tip Crack Growth Based On The Energy Balance Fatigue Endnotes
E-Book Content
Ho Sung Kim
Mechanics
Solids and Fracture
Ho Sung Kim
Mechanics of Solids and Fracture
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Mechanics of Solids and Fracture 1st edition © 2013 Ho Sung Kim & AvE4EvA MuViMixRecords ISBN-10: 87-403-0855-3 ISBN-13: 978-87-403-0855-6
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Mechanics of Solids and Fracture
Contents
Contents Preface
9
List of Symbols
10
1
Stress And Strain
12
1.1
Stress at a point
12
1.2
Relation of principal stress with other stress components
13
1.3
Stresses on oblique plane
15
1.4
3D Mohr’s circle representation
19
1.5
Strain at a point
22
2 Linear Elastic Stress-Strain Relations
28
2.1
The Hooke’s law
28
2.2
Calculation of stresses from elastic strains
31
2.3
Plane stress and plane strain
33
2.4
Strain energy
35
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Mechanics of Solids and Fracture
Contents
2.5
Generalised Hooke’s law
38
2.6
Elastic properties dependant on orientation
42
3
Circular Plates
46
3.1
Stress and strain
46
3.2
Bending moment
49
3.3
Slope and deflection without boundary conditions
51
3.4 A general axi-symmetric case where a circular plate is subjected to combined uniformly distributed load (p) and central concentrated load (F)
52
3.5 A case where a circular plate with edges clamped is subjected to a pressure (p) 54 3.6 A case where a circular plate with edges clamped is subjected to a centrally concentrated load (F)
55
3.7 A case where a circular plate with edges freely supported is subjected to a pressure (p) 58 3.8 A case where a circular plate with edges freely supported is subjected to a central 61
concentrated load (F) 3.9 A case where a circular plate with edges freely supported is subjected to a load (F) round a circle
64
3.10 A case where an annular ring with edges freely supported is subjected 68
to a load round a circle (p = 0)
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Mechanics of Solids and Fracture
Contents
4 Fundamentals For Theory Of Elasticity
72
4.1
Equilibrium and compatibility equa