AIRY STRESS FUNCTION FOR TWO DIMENSIONAL INCLUSION ...
AIRY STRESS FUNCTION FOR TWO DIMENSIONAL INCLUSION ...
AIRY STRESS FUNCTION FOR TWO DIMENSIONAL INCLUSION ...
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inclusion<br />
Mathematica code for finding the stresses and displacements for a circular<br />
γ = ‚<br />
ϕ = ‚<br />
2<br />
an∗z<br />
n=0<br />
n<br />
2<br />
bn∗z<br />
n=0<br />
n<br />
a 0 +za 1+z 2 a 2<br />
b 0 +zb 1+z 2 b 2<br />
γ1 = HS ∗zê4L + ‚<br />
Sz<br />
4<br />
+ m1<br />
z<br />
+ m2<br />
z 2<br />
ϕ1 = HG ∗ zê2L + ‚<br />
Gz<br />
2<br />
+ f1<br />
z<br />
d = D@γ,zD<br />
d1 = D@γ1,zD<br />
a 1 +2za 2<br />
S<br />
4<br />
m1 2m2<br />
− −<br />
z2 z3 f2 f3<br />
+ +<br />
z2 z3 2<br />
mn∗z<br />
n=1<br />
−n<br />
3<br />
fn∗z<br />
n=1<br />
−n<br />
40