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International Scholarly Research Notices
Table of Contents
International Scholarly Research Notices
/
2011
/
Article
/
Tab 2
/
Research Article
Numerical Study of Characteristic Equations of Thermoelastic Waves Propagating in a Uniaxial Prestressed Isotropic Plate
Table 2
Collected data of the wave speeds under the natural state and two initial states with two uniaxial prestresses
0
.
0
2
π
4
4
and
0
.
0
4
π
4
4
applied in the
π
1
-direction.
Wave speed (mm/
ΞΌ
s)
Longitudinal wave
Shear wave
Corresponding differences of wave speed due to (
3.5
)β(
3.7
)
LamΓ© mode
Natural state
π
πΏ
0
=
4
.
5
9
0
π
π
0
=
2
.
1
0
6
β
β
π
L
a
m
e
0
=
2
.
9
7
8
π
[
1
0
0
]
L
1
=
4
.
5
4
6
π
[
0
0
1
]
S
1
=
2
.
1
3
0
Ξ
π
[
1
0
0
]
L
1
=
β
0
.
0
4
4
Ξ
π
[
0
0
1
]
S
1
=
0
.
0
2
4
π
L
a
m
e
1
=
2
.
9
8
2
π
[
0
1
0
]
S
1
=
2
.
1
3
0
Ξ
π
[
0
1
0
]
S
1
=
0
.
0
2
4
Ξ
π
L
a
m
e
1
=
0
.
0
0
0
4
Prestress
π
π
1
1
=
0
.
0
2
π
4
4
π
[
0
1
0
]
L
2
=
4
.
5
8
5
π
[
0
0
1
]
S
2
=
2
.
0
5
6
Ξ
π
[
0
1
0
]
L
2
=
β
0
.
0
0
5
Ξ
π
[
0
0
1
]
S
2
=
β
0
.
0
5
0
π
L
a
m
e
2
=
2
.
9
0
8
π
[
1
0
0
]
S
2
=
2
.
1
0
9
Ξ
π
[
1
0
0
]
S
2
=
0
.
0
0
3
Ξ
π
L
a
m
e
2
=
β
0
.
0
7
0
7
π
[
0
0
1
]
L
3
=
4
.
5
8
5
π
[
1
0
0
]
S
3
=
2
.
1
0
9
Ξ
π
[
0
0
1
]
L
3
=
β
0
.
0
0
5
Ξ
π
[
1
0
0
]
S
3
=
0
.
0
0
3
π
[
0
1
0
]
S
3
=
2
.
0
5
6
Ξ
π
[
0
1
0
]
S
3
=
β
0
.
0
5
0
π
[
1
0
0
]
L
1
=
4
.
5
0
2
π
[
0
0
1
]
S
1
=
2
.
1
5
4
Ξ
π
[
1
0
0
]
L
1
=
β
0
.
0
8
8
Ξ
π
[
0
0
1
]
S
1
=
0
.
0
4
8
π
L
a
m
e
1
=
2
.
9
8
6
π
[
0
1
0
]
S
1
=
2
.
1
5
4
Ξ
π
[
0
1
0
]
S
1
=
0
.
0
4
8
Ξ
π
L
a
m
e
1
=
0
.
0
0
0
8
Prestress
π
π
1
1
=
0
.
0
4
π
4
4
π
[
0
1
0
]
L
2
=
4
.
5
8
0
π
[
0
0
1
]
S
2
=
2
.
0
0
6
Ξ
π
[
0
1
0
]
L
2
=
β
0
.
0
1
0
Ξ
π
[
0
0
1
]
S
2
=
β
0
.
1
0
0
π
L
a
m
e
2
=
2
.
8
3
8
π
[
1
0
0
]
S
2
=
2
.
1
1
2
Ξ
π
[
1
0
0
]
S
2
=
0
.
0
0
6
Ξ
π
L
a
m
e
2
=
β
0
.
1
4
1
4
π
[
0
0
1
]
L
3
=
4
.
5
8
0
π
[
1
0
0
]
S
3
=
2
.
1
1
2
Ξ
π
[
0
0
1
]
L
3
=
β
0
.
0
1
0
Ξ
π
[
1
0
0
]
S
3
=
0
.
0
0
6
π
[
0
1
0
]
S
3
=
2
.
0
0
6
Ξ
π
[
0
1
0
]
S
3
=
β
0
.
1
0
0