Introduction to Fracture Mechanics phần 1 ppsx
Introduction to Fracture Mechanics phần 1 ppsx
... length
as shown below:
,
a
9
Introduction to Fracture Mechanics
1
Introduction to Fracture Mechanics
From Suresh: Fatigue of Materials
Using the results of Inglis (19 13) Griffith found that
the ... Idea : Griffith (19 21) postulated that for unit
crack extension to occur under the influence of the
applied stress, the
decrease
in potential energy of
Griffith Fracture...
Introduction to Fracture Mechanics phần 2 pptx
... strain-displacement relations for polar coordinates
are:
.
1
1
u
u
u
r
,
1
,
u
r
r
u
r
u
rr
rr
19
.
1
2
1
r
u
r
u
u
r
r
r
The ... is:
.0
11 112
2
2
22
2
2
2
rrrrrrrrr
rrrr
rr
Modes of Fracture
The three basic modes of separation of the...
Introduction to Fracture Mechanics phần 3 docx
... singular term (λ = 1/ 2 and thus B
1
=A
1
/3)
we find that:
29
we find that:
2
5
2
1
2
3
2
3
cos
3
1
2
cos
rrAr
~
2 /10
2
1
1
rrrA
ijij
I
ijij
The ... BAr
rx
rr
r
1
25
2sin2sin1
11
BAr
Apply the boundary conditions:
,0cos
11
BA
...
Introduction to Fracture Mechanics phần 4 ppt
...
σ
1
is applied to the first
11
aK
I
33
crack of length 2a
2
. A stress
σ
1
is applied to the first
plate, and a stress σ
2
is applied to the second plate. If
we choose σ
1
, σ
1
, ... important in
fracture mechanics as it allows results from laboratory
scale tests to be applied to large scale fracture problems.
)2( )1(
II
KK
Si
3
N
4
Al
2
O
3
Glass
K
c...
Introduction to Fracture Mechanics phần 5 docx
... done to determine the plastic
zone size and shape for Mode II and Mode III loading.
For θ = 0,
,
3
1
9
1
stressplaner
strainplaner
p
p
For θ = 45˚,
,
3
1
10
8.2
1
3 81. 0
stressplaner
strainplaner
p
p
3
Extent ...
cossin
2
3
1
4
1
2
2
ys
I
p
K
r
Plastic Zone Size
Engineering Formulae
For Plane Stress:
2...
Introduction to Fracture Mechanics phần 6 ppt
... approximate, asymptotic singular solutions
deviate significantly (say, by more than 10 %)
from full elasticity solutions which include higher
order terms. It is found that,
19
ar 1. 0
0
where ... K
Ic
. Find that
inchesmBba 50!28 .1, ,
For the general 3-D case, plane strain and anti-plane
strain loading:
22
22
1
1
K
EE
KK
17
For the plane stress...
Introduction to Fracture Mechanics pdf
... conceptually equivalent to
that of the Griffith model.
Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com
Introduction to Fracture Mechanics
1
Introduction to Fracture Mechanics
From ...
σ
1
is applied to the first
11
aK
I
33
crack of length 2a
2
. A stress
σ
1
is applied to the first
plate, and a stress σ
2
is applied to the sec...
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