Starting with the general expression (6.1.7), explicitly develop forms (6.1.9) and (6.1.10) for the strain energy density.

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Starting with the general expression (6.1.7), explicitly develop forms (6.1.9) and (6.1.10) for the strain energy density.

Equation 6.1 .7

U = (oxex + yey + Ozez + Exy Yay +TyzYyz + TexYx): 1 zije ij

Equation 6.1 .9

U(e) =  dejjekk + eijeij - (x+y+)+(++ +26 +26 +2) = ey+e xy

Equation 6.1 .10

U(a): = 1+v 2E ijo ij V 2E jjkk 1+v =  +  ( 0  + 0  +0 + 2 + 2 + 2)(+0+0 2E 2E

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