Simplified calculation of transverse thermal stress of inverted siphon in winter downtime

The lar ge inv erted siphon in the Middle Route of South2t o2Nor th Water Tr ansfer Pr oject is usually bur ied. In w inter dow ntime, the inner surface bo unda ry conditio n belo ng s t o the third2type boundar y conditio ns. Virtual boundar y was intr oduced to perform the approx imate tr eatment on the third2type bo undary conditio ns, and temper ature field was simplified. Acco rding to the self2balance o f str ess and fo rce metho d, the tr ansv erse no nlinear thermal self2const raint stress and framew or k constraint st ress w ere derived. Integr ation of t he tw o therma l stresses can pro vide the simplified formulas of tr ansv erse thermal stress of inverted sipho n. The formula was applied to Lema River inverted sipho n. The results show ed that dur ing the winter dow ntime, the tensile str ess o f 2 MPa occur s at the inner surface, and the t ensile st ress at the inner surface is larg er w hen the slab thick2 ness is higher, which is unfav or able to thermal stress contro l.

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