ALL 12 CHAPTERS COVERED
SOLUTIONS MANUAL
,Table of Contents
Chapter 1. Elastic Response of Solids
Chapter 2. Yielding and Plastic Flow
Chapter 3. Controlling Strength
Chapter 4. Time-Dependent
Deformation Chapter 5. Fracture: An
Overview
Chapter 6. Elements of Fracture
Mechanics Chapter 7. Fracture
Toughness
Chapter 8. Environment-Assisted
Cracking Chapter 9. Cyclic Stress and
Strain Fatigue Chapter 10. Fatigue Crack
Propagation Chapter 11. Analyses of
Engineering Failures Chapter 12.
Consequences of Product Failure
,Deformation and Fracture Mechanics of Engineering Materials, 5th ed. Problem Solutions p. 1/162
Draft document, Copyright R. Hertzberg, R. Vinci, J. Hertzberg 2009
CHAPTER 1
Review
1.1 In your own words, what are two differences between product testing and
material testing?
Possible answers include: (a) The goal of the two procedures is different. Whereas
product testing is design to determine the lifetime of a component under conditions
that mimic real- world use, material testing is intended to extract fundamental
material properties that are independent of the material’s use. (b) The specimen
shape is different. Product testing must use the material in the shape in which it will
be used in the real product. Material testing uses idealized specimen shapes
designed to unambiguously determine one or more properties of the material with
the simplest analysis possible.
1.2 What are the distinguishing differences between elasticity, plasticity, and fracture?
Elasticity involves only deformation that is fully reversible when the applied load is
removed (even if it takes time to occur). Plasticity is permanent shape change
without cracking, even when no load exists. Fracture inherently involves breaking of
bonds and the creation of new surfaces. Often two or more of these processes take
place simultaneously, but the contribution of each can be separated from the others.
1.3 Write the definitions for engineering stress, true stress, engineering strain,
and true strain for loading along a single axis.
load P
eng engineering stress (1-1a)
initial cross-sectional area
A0
tru true stress
load P (1-2a)
e
instantaneous cross-sectional areai
A
(1-1b)
change in length lf l0
engineering strain
eng
initial length l0
final l
true true strain ln ln (1-2b)
length f
initial l0
length
Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional
purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of
this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the
copyright owner is unlawful.
, Deformation and Fracture Mechanics of Engineering Materials, 5th ed. Problem Solutions p. 1/162
1.4 Under Copyright
Draft document, what conditions
R. Hertzberg,is
R. Eq.
Vinci,1-4 valid? 2009
J. Hertzberg What makes it no longer useful if
those conditions are not met?
Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional
purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of
this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the
copyright owner is unlawful.
SOLUTIONS MANUAL
,Table of Contents
Chapter 1. Elastic Response of Solids
Chapter 2. Yielding and Plastic Flow
Chapter 3. Controlling Strength
Chapter 4. Time-Dependent
Deformation Chapter 5. Fracture: An
Overview
Chapter 6. Elements of Fracture
Mechanics Chapter 7. Fracture
Toughness
Chapter 8. Environment-Assisted
Cracking Chapter 9. Cyclic Stress and
Strain Fatigue Chapter 10. Fatigue Crack
Propagation Chapter 11. Analyses of
Engineering Failures Chapter 12.
Consequences of Product Failure
,Deformation and Fracture Mechanics of Engineering Materials, 5th ed. Problem Solutions p. 1/162
Draft document, Copyright R. Hertzberg, R. Vinci, J. Hertzberg 2009
CHAPTER 1
Review
1.1 In your own words, what are two differences between product testing and
material testing?
Possible answers include: (a) The goal of the two procedures is different. Whereas
product testing is design to determine the lifetime of a component under conditions
that mimic real- world use, material testing is intended to extract fundamental
material properties that are independent of the material’s use. (b) The specimen
shape is different. Product testing must use the material in the shape in which it will
be used in the real product. Material testing uses idealized specimen shapes
designed to unambiguously determine one or more properties of the material with
the simplest analysis possible.
1.2 What are the distinguishing differences between elasticity, plasticity, and fracture?
Elasticity involves only deformation that is fully reversible when the applied load is
removed (even if it takes time to occur). Plasticity is permanent shape change
without cracking, even when no load exists. Fracture inherently involves breaking of
bonds and the creation of new surfaces. Often two or more of these processes take
place simultaneously, but the contribution of each can be separated from the others.
1.3 Write the definitions for engineering stress, true stress, engineering strain,
and true strain for loading along a single axis.
load P
eng engineering stress (1-1a)
initial cross-sectional area
A0
tru true stress
load P (1-2a)
e
instantaneous cross-sectional areai
A
(1-1b)
change in length lf l0
engineering strain
eng
initial length l0
final l
true true strain ln ln (1-2b)
length f
initial l0
length
Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional
purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of
this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the
copyright owner is unlawful.
, Deformation and Fracture Mechanics of Engineering Materials, 5th ed. Problem Solutions p. 1/162
1.4 Under Copyright
Draft document, what conditions
R. Hertzberg,is
R. Eq.
Vinci,1-4 valid? 2009
J. Hertzberg What makes it no longer useful if
those conditions are not met?
Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional
purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of
this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the
copyright owner is unlawful.
