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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PLATE<br />
rHSH−1+κLH1+κ1Lµ+4rH2µ+H−1+κLµ1LHH−2+κLCos@θDa2−Cos@3θDb2LL<br />
8µH2µ+H−1+κLµ1L<br />
ur1Final =<br />
FullSimplifyA<br />
ur1Ini ê.f1 →− a2 S<br />
2 + a2 HS+Sκ1Lµ<br />
2H2µ−µ1 +κµ1L ê.f3 → − a4 Sµ−a 4 Sµ1<br />
2Hκ1 µ+µ1L ê.<br />
1<br />
8r3 i<br />
µ1k<br />
Si<br />
k<br />
m1 →− a2 HSµ−Sµ1L<br />
2Hκ1 µ+µ1L ê.f2 →0 ê.m2 →0E<br />
r 2 Hr 2 H−1+κ1LH2µ+H−1+κLµ1L−2a 2 HH−1+κ1Lµ+µ1−κµ1LL<br />
2µ+H−1+κLµ1<br />
2Ha 4 Hµ−µ1L+a 2 r 2 H1+κ1LH−µ+µ1L+r 4 Hκ1µ+µ1LLCos@2θD<br />
κ1µ+µ1<br />
ANGULAR DISPLACEMENTS <strong>FOR</strong> THE INNER DISC AND THE OUTER<br />
uθFinal =FullSimplifyAuθIniê.b0→κa0ê.b1→− Sµ+Sκ1µ<br />
2Hκ1µ+µ1L ê.a2→0ê.b2→0E<br />
−<br />
rSH1+ κ1LSin@2θD<br />
4Hκ1µ+ µ1L<br />
uθ1Final =<br />
FullSimplifyAuθ1Iniê.f3→− a4 Sµ−a 4 Sµ1<br />
2Hκ1µ+µ1L ê.m1→− a2 HSµ−Sµ1L<br />
2Hκ1µ+µ1L ê.f2→0ê.m2→0E<br />
− S Ha4 H−µ + µ1L+a 2 r 2 H−1 +κ1L H−µ +µ1L +r 4 Hκ1 µ +µ1LLSin@2θD<br />
4r 3 µ1Hκ1µ+ µ1L<br />
50<br />
y<br />
{<br />
+
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