
混凝土裂缝端部粘聚力的计算
徐世烺1、王利民1,2
Calculation of Cohesive Stress Along the Fictitious Crack Zone in Concrete Materials
Xu Shilang1、 Wang Limin1,2
混凝土裂缝端部断裂过程区的粘聚力分布是导致混凝土断裂呈现非线性特性的重要原因。基于混凝土的断裂特性和虚拟裂缝端部存在粘聚力的分析模型,并通过分布函数的特性分析,提出了粘聚力分布函数的两种简化表达式:一为单参数待定式,另一为双参数待定式。由变形体叠加原理,推导出计算单参数待定函数公式和计算双参数待定函数代数方程组。进而通过裂缝张开位移实测数据即可求得粘聚力分布,并且给出了适当的算例分析和讨论。
Nonlinear fracture behaviors of concrete materials are mainly caused by the cohesive stress along the fracture process zone. Based upon concrete fracture properties and the analytical model of crack with cohesive forces, two simple formulae concisely expressing the cohesive stress distribution are presented through analyzing characteristics of the cohesive force distribution function. One formula has only one undefined parameter. The other one has two undefined parameters. According to the superposition principle of deformation body, a formula for calculating the sole undefined parameter to control the cohesive force distribution function is deduced. Similarly, two algebra equations for solving the two undefined parameters also for controlling the cohesive force distribution are given. As a result, using the test data of crack opening displacement, the cohesive stress distribution is determined. The relevant calculation examples and discussions are given, too, in this paper.
concrete / crack opening displacement / fictitious crack cohesive force / algebra equations
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