Application of Elastodynamic Finite Integration Technique ...
Finite Integration Technique
2
Anti -Plane Shear Waves: Discretized Equations are as follows: +1 , = , ∆ + 1 ∆ 2 , − + 1 − ∆ 2 , ∆ + 1 , ∆ 2 − + 1 , − ∆ 2 ∆ , + 3 , = + 1 , ∆ ∆ +1 ( ∆ 2 , ) − +1 ( − ∆ 2 , ) , + 3 , = + 1 , ∆ ∆ +1 ( , ∆ 2 ) − +1 ( , − ∆ 2 ). Where , and , represent the value of shear stresses at a point with coordinates and and at time ∆ .Likewise, , represents velocity at point , and at time ∆ . ∆ ∆ ∆ ∆ ∆ ∆ = = =
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Finite Integration Technique for Anti-plane Shear Wave
Transcript of Finite Integration Technique
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Anti -Plane Shear Waves:
Discretized Equations are as follows:
+1(, ) =
(, ) + (+
12 ( +
2 , )
+12 (
2 , )
++
12 (, +
2 )
+12 (,
2 )
),
+
32(, ) =
+12(, ) +
(
+1 ( +
2, )
+1 (
2, )),
+
32(, ) =
+12(, ) +
(
+1 (, +
2)
+1 (,
2)).
Where (, ) and
(, ) represent the value of shear stresses at a point with coordinates
and and at time .Likewise, (, ) represents velocity at point (, ) and at time .
=
+
=
=
