裂缝张开位移的数学模型及其变化规律  

Mathematical Model and Variation Regularity of Crack Opening Displacement

作　　者：沈长松[1] 陆绍俊[1] 

机构地区：[1]河海大学水力发电工程系

出　　处：《河海大学学报（自然科学版）》1993年第3期75-84,共10页Journal of Hohai University(Natural Sciences)

摘　　要：本文将裂缝作为边界条件,根据线弹性断裂力学理论,在一定的假定条件下,用有限单元法计算裂缝在水压温度作用下的张开位移,并结合陈村重力拱坝105裂缝的原型观测资料,建立监控裂缝张开位移变化的数学模型和预报方程,通过对水压、温度和时效分量的分解,解释了105裂缝的变化规律.此外,对105裂缝张开位移的骤变成因及灌浆对张开位移的影响也进行了讨论.In this paper, the crack is considered as a boundary condition. Based on the theory of linear elastic fracture mechanics, the opening displacement of crack under the action of water pressure and temperature is calculated by finite element method (FEM). A mathematical model and forecasting equation for monitoring the variation of crack width are developed on the basis of the observed data of crack No. 105 of the Chencun gravity arch dam. Through the resolution of crack displacement into displacements caused by water pressure, temperature and time effect, the regularity of variation of crack No. 105 is explained. Besides, the cause of opening displacement of crack No. 105 and the effect of grouting on opening displacement are discussed too.

关 键 词：数学模型 张开位移 重力拱坝 裂缝 

分 类 号：TU196.1[建筑科学—建筑理论]