摘要
根据传热学和固体力学原理导出了温度场、应力场耦合微分控制方程,并用伽辽金法推导了两场耦合的有限元计算公式。在NCAP-2D有限元程序的基础上扩充了冻结温度场和应力场的有限元程序,使其适应于冻土墙深基坑两场耦合分析。分析结果表明:冻土墙的变形呈一曲线的形式,最大位移发生在跨中顶部;地基因不同的热膨胀系数造成地表和基坑底部位移值不同。数值模拟的系统分析可为冻土墙围护深基坑开挖工程的设计与施工提供科学依据。
The governing differential equations of the coupled problem of temperature and stress fields are firstly derived from the theory of heat transfer and theory of solid mechanics. The finite element formulae of this program are obtained from Galerkin's method.NCAP-2D program are developed and used to analyze the coupled program in frozen soil wall surrounding deep foundation. Finally, an example are analyzed by means of this program. Results are obtained. One is the largest displacement appears in the top middle part of frozen soil wall, while the other is displacements changing with different heat expansion coefficient. Systematic analysis of numerical simulating are the basis for design and construction of excavation of deep foundation pit conserved by frozen soil wall.
基金
国家自然科学基金项目(10072047)
冻土工程国家重点实验室基金项目(200104)
关键词
冻土墙
温度场
应力场
耦合分析
frozen soil wall
temperature field
stress field
coupled analysis
