Plate Estimates Involving Two Strain Parameters

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Plate Estimates Involving Two Strain Parameters
Chester B Sensenig
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For 6„ sufficiently small we can eliminate m, from the right-hand side of (3. 27) to get e 2 m^ =, ' [3^ + 1^2 ^ e^ + M I U +e^) + l^ ^ e ^] h, e d^ h ^ = ■ fr^ -^ "^2 rr ^1 + ^1 ^ (^1+^2^ -^ ^ rr ^i^ h h h '' ^2 H"^ h _41_ When 6» is sufficiently small we can eliminate m^ from the right-hand sides of the above obtaining m ^2 = ^^E^+ (^1+^2) rr (^^2^^ h When Qq is sufficiently small we can eliminate M, from the right-hand sides of the above to obtain e.
-1 = ^^dT ^ ^ ^ ^1) "^2 = ^fd^ + (^1+^2^
...E ^^^ h h For G. Sufficiently small M„ can be eliminated from the right-hand sides of the above to obtain (3. 28) ^ \ = CP (e^) From (3. 2 8) and (3. 26) we get (3. 9) for 1=3. As we continue proving (3. 9) for larger values of ^, we will at the same time prove (3. 29) " ha -42- which holds for k = 1, 2, 3, ... At points where ^1^, 3 7^ 0.
Since 1/c, .

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