Question: Explicitly develop relations (12.8.6) and verify that by using the value of b given in (12.8.7) the temperature terms will drop out of these relations.

Explicitly develop relations (12.8.6) and verify that by using the value of b given in (12.8.7) the temperature terms will drop out of these relations.

Equation 12.8.6

9x =  Jy =  'du' dv +  dy Txy =  'du' dv + x  du dv - (+) +2- + [2B(2+u) - a(3 +2)]T du' x v' +2+ [2B(2+) -

Equation 12.8.7

6= (1+r)a, , plane strain plane strain

0x = Jy = 2 du dv + dy Txy = 'du' dv + x du' dv - (+) +2- + [2B(2+u) - a(3 +2)]T du' x v' +2+ [2B(2+) - (3 +2)]T

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