混凝土底板浇筑温度应力的解析解

State Equation Solution of Thermal Stresses for a Concrete Floor on an Elastic Foundation under Construction

该文采用分离变量法和叠加原理给出了混凝土底板一维瞬态温度场的解析解,后用三维热弹性理论和状态方程解法导出双向W inker地基上混凝土底板浇筑温度应力的解析解.本方法能够计入混凝土底板浇筑过程中弹性模量随混凝土龄期的变化、分层浇筑过程、层间停歇浇筑时间长短等对底板温度应力的影响.计算结果表明,方法有效、可靠.

In this paper, the analytical solution of one dimensional transient temperature field for a concrete floor is given by discrete variable method and superposition principle. The theoretical solution of thermal stresses for a concrete floor on an elastic foundation is deduced according to three dimensional elastic - thermal theory and state equation method. It can simulate the variation of casting thermal and mechanic parameters for the concrete floor, such as hydration temperature rise, environmental temperature, elastic module and interlayer time for stopping casting. Computational results of a concrete floor for an engineering show that the method is efficient, dependable, practical, and is a best method appropriate for engineering technician to calculate the thermal stresses of massive concrete floor.