南水北调中线工程的大型倒虹吸一般采用深埋式,在冬季停运期,倒虹吸内表面边界条件属于第三类边界条件,通过引入虚边界,对第三类边界条件做了近似处理,并简化温度场,由应力自平衡和力法分别推导出了横向非线性温度自约束应力和框架约束应力,整合这两部分温度应力,得到倒虹吸横向温度应力简化计算公式。对勒马河倒虹吸的计算结果显示,在冬季停运期,其内表面会产生2 MPa的拉应力,而且板厚越大,内表面的拉应力越大,对温度应力控制不利。
The large inverted siphon in the Middle Route of South-to-North Water Transfer Project is usually buried. In winter downtime, the inner surface boundary condition belongs to the third-type boundary conditions. Virtual boundary was introduced to perform the approximate treatment on the third-type boundary conditions,and temperature field was simplified. According to the self-balance of stress and force method, the transverse nonlinear thermal self-constraint stress and framework constraint stress were derived. Integration of the two thermal stresses can provide the simplified formulas of transverse thermal stress of inverted siphon. The formula was applied to Lema River inverted siphon. The results showed that during the winter downtime, the tensile stress of 2 MPa occurs at the inner surface, and the tensile stress at the inner surface is larger when the slab thickness is higher,which is unfavorable to thermal stress control.