Mechanical Properties of Engineered Materials 2008 Part 2 pps
Mechanical Properties of Engineered Materials 2008 Part 2 pps
... treatment of the fundamen-
tals of the mechanical behavior of materials. The text provides a rigorous
review of the fundamental mechanics aspects of the mechanical behavior of
materials.
Shackleford, ... Inc.
1
Overview of Crystal/Defect Structure
and Mechanical Properties and
Behavior
1.1 INTRODUCTION
The mechanical behavior of materials describes the response...
Mechanical Properties of Engineered Materials 2008 Part 1 pps
... Inc.
Bibliography
11FundamentalsofFractureMechanics
11.1Introduction
11.2FundamentalsofFractureMechanics
11.3NotchConcentrationFactors
11.4GriffithFractureAnalysis
11.5EnergyReleaseRateandCompliance
11.6LinearElasticFractureMechanics
11.7Elastic–PlasticFractureMechanics
11.8FractureInitiationandResistance
11.9InterfacialFractureMechanics
11.10DynamicFractureMechanics
11.11Summary
Bibliography
1...
Mechanical Properties of Engineered Materials 2008 Part 4 pps
... expressions:
x
0
x
0
¼
xx
þ
yy
2
þ
xx
À
yy
2
cos2ð3 :23 aÞ
y
0
y
0
¼
xx
þ
yy
2
þ
xx
À
yy
2
cos2ð3 :23 bÞ
x
0
y
0
¼À
xx
À
yy
2
sin2ð3 :23 cÞ
where,
xx
,
yy
,
xy
,
x
0
x
0
,
y
0
y
0
,and
x
0
y
0
arestressesshowninFig.3.6.The
aboveequationscanberepresentedgraphically ... I
2
,andI
3
into the resulting equation, it
can be shown that J
2
is giv...
Mechanical Properties of Engineered Materials 2008 Part 12 pps
... ¼
ffiffiffiffiffiffiffi
EG
p
¼
12EP
2
a
2
BEb
3
!
1
2
¼
2
ffiffiffi
3
p
Pa
Bb
3 =2
ð11:77Þ
and for plane strain conditions:
K ¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
EG
ð1
2
Þ
s
¼
12EP
2
a
2
BEð1
2
Þb
3
!
1
2
¼
2
ffiffiffi
3
p
Pa
Bð1
2
Þ
1 =2
b
3 =2
ð11:78Þ
Copyright ... Inc.
@
r
@r
þ
1
r
@
@
þ
2
r
r
¼0ð11 :21 bÞ
Thein-planestraincomponentsaregivenby
"
rr
¼
@u
r
@r
ð11 :21 cÞ
"
...
Mechanical Properties of Engineered Materials 2008 Part 3 ppt
... Inc.
Theangle,,betweentwodirectionsd
1
¼½x
1
y
1
z
1
andd
2
¼½x
2
y
2
z
2
isgivenby
cos¼
^
dd
1
Á
^
dd
2
¼
x
1
x
2
^
iiþy
1
y
2
^
jjþz
1
z
2
^
kk
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
ðx
2
1
þy
2
1
þz
2
1
Þðx
2
2
þy
2
2
þz
2
2
Þ
q
2: 4Þ
Similarly,theanglebetweentwoplaneswithplanenormalsgivenby
n
1
¼ðu
1
v
1
w
1
)andn
2
¼ðu
2
v
2...
Mechanical Properties of Engineered Materials 2008 Part 6 docx
... (ksi)]
Modulus of
elasticity
[GPa (10
6
psi)]
Alumina (85% dense) 1 620 (23 5) 125 (18) 29 5 ( 42. 5) 22 0 ( 32)
Alumina (99.8% dense) 27 60 (400) 20 5 (30) 345 (60) 385 (56)
Alumina silicate 27 5 (40) 17 (2. 5) 62 ... Inc.
energy,U.Thisgivesthefollowingempiricalconditionforplasticflow
undermultiaxialloading:
y
¼
1
ffiffiffi
2
p
ð
xx
À
yy
Þ
2
þð
yy
À
zz
Þ
2
þð
zz
À
xx
Þ
2
n...
Mechanical Properties of Engineered Materials 2008 Part 7 ppt
... Inc.
Notethat
zx
¼
xz
¼
yz
¼
zy
¼0foranedgedislocation.Theelastic
stressfieldaroundastationaryedgedislocationisthusgivenby
xx
¼À
Gb
2 ð1ÀÞ
yð3x
2
þy
2
Þ
ðx
2
þy
2
Þ
2
ð6 :21 Þ
yy
¼
Gb
2 ð1ÀÞ
yðx
2
Ày
2
Þ
ðx
2
þy
2
Þ
2
ð6 :22 Þ
xy
¼
Gb
2 ð1ÀÞ
xðx
2
Ày
2
Þ
ðx
2
þy
2
Þ
2
ð6 :23 Þ
zz
¼ð
xx
þ
yy
޼Gb
ð1ÀÞ
y
x
2
þy
2
Þ
ð6 :24 Þ
Theabovestre...
Mechanical Properties of Engineered Materials 2008 Part 8 docx
... of
Eq. (7 .26 ) may thus be expressed as
E
2
e
¼
2
3
"
0
ij
"
0
ij
þ ‘
2
1
0ð1Þ
ijk
0ð1Þ
ijk
þ
2
3
2
2
2
þ
12
5
‘
2
3
ij
ij
þ
2
3
2
2
2
À
12
5
‘
2
3
ij
ji
ð7: 32
However, ... energies of the ordinary dis-
locations of type b
1
are greater than the sum of the line energies of the
Shockley partials. Hence,
Gðb
1
Þ
2
> Gðb
2
Þ...
Mechanical Properties of Engineered Materials 2008 Part 9 pdf
... this stage to examine forms of the precipitation strength-
ening equations, (8 .22 ), (8 .23 ) and (8 .25 ). Two of the expressions for dis-
location cutting [Eqs (8 .23 ) and (8 .25 )] show a strength dependence ... (Gleiter and
Hornbogen, 1965):
Á
pc
¼
0 :28
3 =2
f
1=3
b
2
r
G
1 =2
ð8 :25 Þ
where is the anti-ph ase boundary energy, f is the particle volume fraction,
r is the...
Mechanical Properties of Engineered Materials 2008 Part 10 doc
... Silceram 2. 90 121 174 0 2. 1 42 60
Metals
Aluminum 2. 70 69 77 47 26 29
Aluminum–3%Zn–0.7%Zr 2. 83 72 325 18 25 115
Brass (Cu-30%Zn) 8.50 100 550 70 12 65
Nickel 20 %Cr–15%Co 8.18 20 4 120 0 26 25 147
Mild ... (Al
2
O
3
) 3.87 3 82 3 32 0 4.9 99 86
Magnesia (MgO) 3.60 20 7 23 0 0 1 .2 58 64
Silicon nitride (Si
3
N
4
) 166 21 0 0 4.0
Zirconia (ZrC
2
) 5. 92 170 900 0...
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