钢筋混凝土粘结应力和局部滑移相互关系的 分方程及“悬臂虚梁”法的研究

本文对基本条件进行了分析,导得了粘结应力-局部滑移相互关系的二阶微分方程和六个边界条件,这些方程即为探索粘结状态内在规律的基本方程,但按目前的研究途径求解是很困难的.根据数学关系的相似性,文中提出了虚设的悬臂梁分析模型,则任一点局部滑移、裂缝宽度、钢筋与混凝土的应变差、相邻裂缝间的钢筋总伸长与混凝土总伸长、钢筋平均应变、钢筋应变不均匀系数以及粘结状态钢筋的刚度等重要变量的表达式均可以简便地导得.建议的方法可用于裂缝、变形、粘结性能和有限元法的分析.

Bond Stress and Local Slip of Reinforced Concrete

In this paper,the fundamental conditions are analyzed and the 2nd order differential equation of the relationship between bond stress and local slip as well as six boundary conditions are obtained,which are the basic equations for exploring the inherent laws of bond state.It is, however,too difficult to solve them by using methods in current use. According to mathematical similarity,an analytical model of the fictitious cantilever beam is put forward,and the equations of important variables including local slip at any section,crack width,the difference between steelbar strain and concrete strain,total elongations of both steel bar and concrete between two adjacent cracks,average strain of steel bar,the factor of non-uniform strain of steel bar and the average rigidity of bonded bar can all be conveniently acquired. The proposed method can be used in the analyses of cracks,deformations, bond behaviour and finite element methods.