For the spherically orthotropic problem, justify that Hookes law (11.7.11) can be inverted into form (11.7.13) under

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For the spherically orthotropic problem, justify that Hooke’s law (11.7.11) can be inverted into form (11.7.13) under the relations (11.7.14).

Equation 11.7.11

eR ed eo ER 1 Ee OR  VRO . ER VOR Ee (06 +00) e40 = too/2g = eR$ = TRO/2R, -JA ----- VRO ER 1 + VOR Ee OR

Equation 11.7.13

OR C1ER + C12(eo + eg) 0 = C12eR + C22e + C23e0 de C12eR + C23e + C22e0 TRO = = =C44e0R C44eR$ 60 (C22 -

Equation 11.7.14

C11 C22 C23 ER (1-VOR) m Ee (1 + VOR)m C12 Eg (1 + VOR)m 17 (1 - PROER) EgVRO m Eg 2 VORRER/ -VRO C442UR

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