Mechanics Of Materials Saouma Episode 10 pptx
Mechanics.Of.Materials.Saouma Episode 10 pptx
... ≈
Ea
0
10
this is enough to lower the theoretical fracture
strength from
E
√
10
to a critical value of magnitude
E
100
√
10
, or a factor of 100 .
20 Also
σ
theor
max
=2σ
act
cr
a
a
o
a =10
−6
m ... independent of the crack length. However, under plane stress R is found
to be an increasing function of a, Fig. 13.9
59 If we examine an initial crack of length a
i
:
Victor...
The Coming of Materials Science Episode 10 pptx
... encyclopedia
of materials some years ago,
I
found it required an effort of imagination to include
articles on various aspects
of
water, and on inks. Yet one
of
the most important
families of materials ...
Reptation
of
a
polymer chain. The chain moves snake-like through its confining
virtual tube.
322
The Coining
of
Materials Science
t
Figure
8.9.
Diagram o...
Mechanics.Of.Materials.Saouma Episode 1 doc
... Loading 5
Victor Saouma Mechanics of Materials II
Draft
iv
Victor Saouma Mechanics of Materials II
Draft
Part I
CONTINUUM MECHANICS
Draft
viii CONTENTS
Victor Saouma Mechanics of Materials II
Draft
iii
PREFACE
One ... Compatibility 30
Victor Saouma Mechanics of Materials II
Draft
DRAFT
Lecture Notes
Introduction to
MECHANICSofMATERIALS
Fundamentals of Inela...
Mechanics.Of.Materials.Saouma Episode 2 potx
... a
3
3
V
3
(1.47)
Victor Saouma Mechanics of Materials II
Draft
4 KINETICS
The vector sum of all external forces acting on the free body is equal to the rate of change
of the total momentum
2
.
12 ... orthogonal.
Victor Saouma Mechanics of Materials II
Draft
Chapter 2
KINETICS
Or How Forces are Transmitted
2.1 Force, Traction and Stress Vectors
1 There are two kinds of...
Mechanics.Of.Materials.Saouma Episode 3 docx
... 8x, 10, 10& lt;, 8y, − 10, 10& lt;, 8z, − 10, 10& lt;,
Axes −> Automatic, AxesLabel −> 8"X", "Y", "Z"<D
-10
-5
0
5
10
X
-10
-5
0
5
10
Y
-10
-5
0
5
10
Z
-10
-5
0
5
X
1
0
-5
0
5
Y
Ö ... Automatic,
AxesLabel -> 8"x1", "x2", "x3"<D
-10
0
10
x1
-10
0
10
x2
-10
0
10
x3
-10
0
10
x1
-
10
0...
Mechanics.Of.Materials.Saouma Episode 4 pps
... B
1/2
(4.129)
Example 4 -10: Polar Decomposition I
Victor Saouma Mechanics of Materials II
Draft
4.2 Strain Tensor 13
and thus
C = F
c
·F (4.61-a)
=
10 0
01A
0 A 1
T
100
01A
0 A 1
=
10 0
01+A
2
2A
02A ... E
22
=
∂u
2
∂X
2
(4.86)
Victor Saouma Mechanics of Materials II
Draft
4.2 Strain Tensor 19
Therefore the off diagonal terms of the linear strain te...
Mechanics.Of.Materials.Saouma Episode 5 ppsx
... n
(2)
·n
(2)
=1)
n
(2)
=
001
(4.178)
Victor Saouma Mechanics of Materials II
Draft
40 KINEMATIC
Figure 4.12: Wheatstone Bridge Configurations
Victor Saouma Mechanics of Materials II
Draft
Chapter 5
MATHEMATICAL
PRELIMINARIES; ... hydrostatic strain
1
3
e1 represents the volume change.
Victor Saouma Mechanics of Materials II
Draft
42 KINEMATIC
Victor Saouma Mechan...
Mechanics.Of.Materials.Saouma Episode 6 pps
... =
dq
θ
rev
(6.44)
Victor Saouma Mechanics of Materials II
Draft
12 FUNDAMENTAL LAWS of CONTINUUM MECHANICS
Victor Saouma Mechanics of Materials II
Draft
6.4 Conservation of Energy; First Principle of Thermodynamics ... =
1
2
T
ij
E
ij
(7.7)
Victor Saouma Mechanics of Materials II
Draft
6.5 Second Principle of Thermodynamics 9
equations of state. Any sta...
Mechanics.Of.Materials.Saouma Episode 7 docx
... quadratic function of the strains such that, Eq. 18.29
T
ij
=
∂W
∂E
ij
(8.14)
hence it follows that
W =
1
2
T
ij
E
ij
(8.15)
Victor Saouma Mechanics of Materials II
Draft
10 CONSTITUTIVE EQUATIONS; ... state
temperature, the strain componenet of an elementary volume of an unconstrained isotropic body are
given by
E
(Θ)
ij
= α(Θ − Θ
0
)δ
ij
(7.57)
Victor Saouma Mechanics o...
Mechanics.Of.Materials.Saouma Episode 8 potx
... θIm
σ
0
2
a
2(re
iθ
)
3
= σ
0
a
2r
sin
θ
2
cos
θ
2
sin
3θ
2
(10. 26)
30 Combining the above equations, with Eq. 10. 13-d, 10. 14-d, and 10. 15 we obtain
Victor Saouma Mechanics of Materials II
Draft
4 ELASTICITY BASED ... −3C
13
y
2
(9.32-c)
Victor Saouma Mechanics of Materials II
Draft
10. 3 Crack in an Infinite Plate, (Westergaard, 1939) 3
σ
σ
σ
σ
x
x
0
0
0
0
1
2
2a...
Từ khóa: