Show that the six compatibility equations (2.6.2) may also be represented by the three independent fourth-order equations:

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Show that the six compatibility equations (2.6.2) may also be represented by the three independent fourth-order equations:

J ex ?z2  z 24ey azax 34e. 2 23 z 23 z z   +   z + +      z +  +   z z x  +

Equation 2.6.2

Pex aey + 2 x Pey, Pez 2 + z2 ez Per Pex dx az + 2ex  z  aey a z  || = 2- * (-  Fez  z = 2.     Feyz z Fezx z

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