ALL 12 CHAPTERS COVERED
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SOLUTIONS MANUAL
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,TableofContents fg fg
Chapter 1. Elastic Response of Solids
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Chapter 2. Yielding and Plastic Flow
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Chapter 3. Controlling Strength
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Chapter 4. Time-Dependent Deformation
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Chapter 5. Fracture: An Overview
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Chapter 6. Elements of Fracture Mechanics
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Chapter 7. Fracture Toughness
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Chapter 8. Environment-Assisted Cracking
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Chapter 9. Cyclic Stress and Strain Fatigue
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Chapter 10. Fatigue Crack Propagation
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Chapter 11. Analyses of Engineering Failures
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Chapter 12. Consequences of Product Failure
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,Deformation fgand fgFracture fgMechanics fgof fgEngineering fgMaterials, fg5th fged. Problem fgSolutions fgp.
fg 1/162
Draft fgdocument, fgCopyright fgR. fgHertzberg, fgR. fgVinci, fgJ. fgHertzberg fg2009
CHAPTER 1 fg
Review
1.1 In your own words,
f g f g f g f g what are two differences between product testing
f g f g f g f g f g f g
and material testing?
f g f g fg
Possible answers include: (a) The goal of the two procedures is different. Whereas
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product testing is design to determine the lifetime of a component under conditions that
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mimic real- world use, material testing is intended to extract fundamental material
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properties that are independent of the material’s use. (b) The specimen shape is different.
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Product testing must use the material in the shape in which it will be used in the real
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product. Material testing uses idealized specimen shapes designed to unambiguously
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determine one or more properties of the material with the simplest analysis possible.
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1.2 What are the distinguishing differences between elasticity, plasticity, and fracture?
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Elasticity involves only deformation that is fully reversible when the applied load is
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removed (even if it takes time to occur). Plasticity is permanent shape change without
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cracking, even when no load exists. Fracture inherently involves breaking of bonds and
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the creation of new surfaces. Often two or more of these processes take place
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simultaneously, but the contribution of each can be separated from the others.
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1.3 Write the definitions for engineering stress, true stress, engineering
f g f g f g f g f g f g f g f g
strain, and true strain for loading along a single axis.
f g f g f g fg fg fg fg fg fg fg
load
eng engineering stress
fg fg fg (1-1a)
P
f g
initial cross-sectional area A0
fg fg
true (1-2a)
load
true stress
fg fg fg
P
f g
instantaneous cross-sectional area Ai fg fg (1-1b)
change in length lf fg l0
fg
engineering strain
fg fg fg f g
fg fg fg fg fg
eng
initial length fg l0
final lf
fg
true true strain ln
fg fg fg fg fg ln fg fg
(1-2b)
length
fg l0
initial length fg
Excerpts fgfrom fgthis fgwork fgmay fgbe fgreproduced fgby fginstructors fgfor fgdistribution fgon fga fgnot-for-profit fgbasis fgfor fgtesting fgor
fg instructional f g purposes fgonly fgto fgstudents fgenrolled fgin fgcourses fgfor fgwhich fgthe fgtextbook fghas fgbeen fgadopted. f g Any fgother
fg reproduction fgor fgtranslation fgof f g this fg work fgbeyond f g that fgpermitted fg by fg Sections fg107 fg or fg108 fg of fgthe f g 1976 fg United
fg States fgCopyright f g Act fgwithout fgthe fg permission f g of fgthe
copyright fgowner fgis fgunlawful.
, 1.4 Under what conditions is Eq. 1-4 valid? What makes it no longer
f g f g f g f g f g f g f g f g f g f g f g
useful if those conditions are not met?
f g f g f g fg
th
fg fg fg
Deformation fgand fgFracture fgMechanics fgof fgEngineering fgMaterials, fg5 fged. Problem fgSolutions fgp.
fg 1/162
Draft fgdocument, fgCopyright fgR. fgHertzberg, fgR. fgVinci, fgJ. fgHertzberg fg2009
Excerpts fgfrom fgthis fgwork fgmay fgbe fgreproduced fgby fginstructors fgfor fgdistribution fgon fga fgnot-for-profit fgbasis fgfor fgtesting fgor
fg instructional f g purposes fgonly fgto fgstudents fgenrolled fgin fgcourses fgfor fgwhich fgthe fgtextbook fghas fgbeen fgadopted. f g Any fgother
fg reproduction fgor fgtranslation fgof f g this fg work fgbeyond f g that fgpermitted fg by fg Sections fg107 fg or fg108 fg of fgthe f g 1976 fg United
fg States fgCopyright f g Act fgwithout fgthe fg permission f g of fgthe
copyright fgowner fgis fgunlawful.
fg fg fg
SOLUTIONS MANUAL
fg
,TableofContents fg fg
Chapter 1. Elastic Response of Solids
fg fg fg fg fg
Chapter 2. Yielding and Plastic Flow
fg fg fg fg fg fg
Chapter 3. Controlling Strength
fg fg fg fg
Chapter 4. Time-Dependent Deformation
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Chapter 5. Fracture: An Overview
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Chapter 6. Elements of Fracture Mechanics
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Chapter 7. Fracture Toughness
fg fg fg fg
Chapter 8. Environment-Assisted Cracking
fg fg fg
Chapter 9. Cyclic Stress and Strain Fatigue
fg fg fg fg fg fg fg
Chapter 10. Fatigue Crack Propagation
fg fg fg fg fg
Chapter 11. Analyses of Engineering Failures
fg fg fg fg fg fg
Chapter 12. Consequences of Product Failure
fg fg fg fg fg fg
,Deformation fgand fgFracture fgMechanics fgof fgEngineering fgMaterials, fg5th fged. Problem fgSolutions fgp.
fg 1/162
Draft fgdocument, fgCopyright fgR. fgHertzberg, fgR. fgVinci, fgJ. fgHertzberg fg2009
CHAPTER 1 fg
Review
1.1 In your own words,
f g f g f g f g what are two differences between product testing
f g f g f g f g f g f g
and material testing?
f g f g fg
Possible answers include: (a) The goal of the two procedures is different. Whereas
fg fg fg fg fg fg fg fg fg fg fg fg
product testing is design to determine the lifetime of a component under conditions that
fg fg fg fg fg fg fg fg fg fg fg fg fg fg
mimic real- world use, material testing is intended to extract fundamental material
fg fg fg fg fg fg fg fg fg fg fg fg
properties that are independent of the material’s use. (b) The specimen shape is different.
fg fg fg fg fg fg fg fg fg fg fg fg fg fg
Product testing must use the material in the shape in which it will be used in the real
fg fg fg fg fg fg fg fg fg fg fg fg fg fg fg fg fg fg
product. Material testing uses idealized specimen shapes designed to unambiguously
fg fg fg fg fg fg fg fg fg fg
determine one or more properties of the material with the simplest analysis possible.
fg fg fg fg fg fg f g fg fg fg fg fg fg
1.2 What are the distinguishing differences between elasticity, plasticity, and fracture?
fg fg fg fg fg fg fg fg fg
Elasticity involves only deformation that is fully reversible when the applied load is
fg fg fg fg fg fg fg fg fg fg fg fg
removed (even if it takes time to occur). Plasticity is permanent shape change without
fg fg fg fg fg fg fg fg fg fg fg fg fg fg
cracking, even when no load exists. Fracture inherently involves breaking of bonds and
fg fg fg fg fg fg fg fg fg fg fg fg fg
the creation of new surfaces. Often two or more of these processes take place
fg fg fg fg fg fg fg fg fg fg fg fg fg fg
simultaneously, but the contribution of each can be separated from the others.
fg fg fg fg fg fg fg fg fg fg fg fg
1.3 Write the definitions for engineering stress, true stress, engineering
f g f g f g f g f g f g f g f g
strain, and true strain for loading along a single axis.
f g f g f g fg fg fg fg fg fg fg
load
eng engineering stress
fg fg fg (1-1a)
P
f g
initial cross-sectional area A0
fg fg
true (1-2a)
load
true stress
fg fg fg
P
f g
instantaneous cross-sectional area Ai fg fg (1-1b)
change in length lf fg l0
fg
engineering strain
fg fg fg f g
fg fg fg fg fg
eng
initial length fg l0
final lf
fg
true true strain ln
fg fg fg fg fg ln fg fg
(1-2b)
length
fg l0
initial length fg
Excerpts fgfrom fgthis fgwork fgmay fgbe fgreproduced fgby fginstructors fgfor fgdistribution fgon fga fgnot-for-profit fgbasis fgfor fgtesting fgor
fg instructional f g purposes fgonly fgto fgstudents fgenrolled fgin fgcourses fgfor fgwhich fgthe fgtextbook fghas fgbeen fgadopted. f g Any fgother
fg reproduction fgor fgtranslation fgof f g this fg work fgbeyond f g that fgpermitted fg by fg Sections fg107 fg or fg108 fg of fgthe f g 1976 fg United
fg States fgCopyright f g Act fgwithout fgthe fg permission f g of fgthe
copyright fgowner fgis fgunlawful.
, 1.4 Under what conditions is Eq. 1-4 valid? What makes it no longer
f g f g f g f g f g f g f g f g f g f g f g
useful if those conditions are not met?
f g f g f g fg
th
fg fg fg
Deformation fgand fgFracture fgMechanics fgof fgEngineering fgMaterials, fg5 fged. Problem fgSolutions fgp.
fg 1/162
Draft fgdocument, fgCopyright fgR. fgHertzberg, fgR. fgVinci, fgJ. fgHertzberg fg2009
Excerpts fgfrom fgthis fgwork fgmay fgbe fgreproduced fgby fginstructors fgfor fgdistribution fgon fga fgnot-for-profit fgbasis fgfor fgtesting fgor
fg instructional f g purposes fgonly fgto fgstudents fgenrolled fgin fgcourses fgfor fgwhich fgthe fgtextbook fghas fgbeen fgadopted. f g Any fgother
fg reproduction fgor fgtranslation fgof f g this fg work fgbeyond f g that fgpermitted fg by fg Sections fg107 fg or fg108 fg of fgthe f g 1976 fg United
fg States fgCopyright f g Act fgwithout fgthe fg permission f g of fgthe
copyright fgowner fgis fgunlawful.