Question: 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 Equation 6.1 .9 Equation 6.1

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

U = 2(0xex + yey + orez + Exy Yay +Tyz Yyz + TexYx): 1 zije ij

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