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MECHANICAL BEHAVIOR OF MATERIALS
The term mechanical behavior encompasses the response of materials to external forces.
This text considers a wide range of topics, including mechanical testing to determine
material properties, plasticity needed for FEM analyses of automobile crashes, means
of altering mechanical properties, and treatment of several modes of failure. This text
fits courses on mechanical behavior of materials taught in departments of mechanical
engineering and materials science. It includes numerous examples and problems for
student practice and emphasizes quantitative problem solving. End of chapter notes are
included to increase students’ interest.
W. F. Hosford is Professor Emeritus of Materials Science and Engineering at the Uni-
versity of Michigan. He is the author of a number of books, including Metal Forming:
Mechanics and Metallurgy, 2nd ed. (with R. M. Caddell), Mechanics of Crystals and
Textured Polycrystals, and Mechanical Metallurgy.
Mechanical Behavior of Materials
WILLIAM F. HOSFORD
University of Michigan
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge , UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
Information on this title: www.cambridg e.org /9780521846707
© Cambridge University Press 2005
This publication is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print format
2005
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Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. page xv
NotetotheReader
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..xix
1StressandStrain
Introduction
Stress
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1
SignConvention3
Transformation of Axes
Principal Stresses
Mohr’s Stress Circles
Strains
Small Strains
Transformation of Axes
Mohr’s Strain Circles
Force and Moment Balances
Boundary Conditions
Note
Problems
1
2
4
6
6
9
11
12
14
15
16
17
18
2 Elasticity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Introduction
Isotropic Elasticity
Variation of Young’s Modulus
Isotropic Thermal Expansion
Anisotropic Elasticity
Orientation Dependence of Elastic
Response
Orientation Dependence in Cubic
Crystals
Orientation Dependence in Noncubic
Crystals
21
21
24
26
27
29
31
32
v
vi
CONTENTS
Orientation Dependence in Materials
Other Than Single Crystals
Anisotropic Thermal Expansion
Notes
References
Problems
34
34
35
36
36
3TensileTesting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 39
Introduction
Tensile Specimens
Stress–Strain Curves
Ductility
True Stress and Strain
The Bridgman Correction
Temperature Rise
Sheet Anisotropy
Measurement of Force and Strain
Axial Alignment
Special Problems
Notes
References
Problems
39
39
40
43
44
45
47
47
48
49
49
50
51
51
4 Other Tests of Plastic Behavior. . . . . . . . . . . . . . . . . . . . . . . . . . 53
Introduction
Compression Test
Plane-Strain Compression
Plane-Strain Tension
Biaxial Tension (Hydraulic Bulge Test)
Torsion Test
Bend Tests
Hardness Tests
Mutual Indentation Hardness
Note
References
Problems
53
53
56
57
57
59
61
62
66
67
67
67
5 Strain-Hardening of Metals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
Introduction
Mathematical Approximations
Power-Law Approximation
Necking
Work per Volume
Localization of Strain at Defects
Notes
Problems
70
70
72
73
75
75
76
77