image (215)

σrz=2μεrz=μ{22Φrz+r(1r(rH)r)2H2z} (216)

image (216) Calculation of Stresses in Terms of the Unknowns A1,A2,B1,B2

Recall the identities of Eq. (90), i.e.,

(λ+2μ)ξ2+λζP2=μ(ξ2+ζS22ζP2)λξ2+(λ+2μ)ζP2=μ(ζS2ξ2) (217)

image (217)

Substitution of Eqs. (201) and (208)(211) into Eq. (197) and use of Eq. (217) yields


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