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基于等效应变原理,将锚索与被锚固围岩分别由马克思韦尔体、开尔文体模拟,建立了一种考虑锚索与被锚固围岩之间耦合作用关系的新元件计算模型,并推导了其本构方程、蠕变方程、松弛方程,从理论上解释了锚索预应力损失与围岩变形之间的计算关系;以济南市某深基坑桩锚支护体系为工程背景,通过理论计算、现场测试、公式拟合等方法对比分析了该模型计算结果现场测试数据,结果表明,该模型能够能够很好地反映出锚索预应力的变化规律,呈现出初期骤降,中期平稳减小,后期基本不变的趋势;该模型较未考虑耦合效应的模型(广义开尔文体)计算结果更贴近试验数据,更能反映出锚索预应力真实变化规律;研究成果为预应力工程的设计、施工提供了理论依据和技术支持。
Based on the principle of equivalent strain, a new component calculation model considering the coupling between anchor line and anchored surrounding rock is established by deducing the new component calculation model of anchor cable and anchored surrounding rock from Maxwell body and Kelvin body respectively. The constitutive equation, creep equation and relaxation equation are obtained, which theoretically explain the relationship between the prestress loss of anchor cable and the deformation of surrounding rock. Taking the pile-anchor supporting system of a deep foundation pit in Jinan as the engineering background, The results show that the model can well reflect the change law of the prestressing force of the anchor cable, showing the initial plunge, the mid-term stability The model is more close to the experimental data than the model without the coupling effect (generalized kelvin), which can better reflect the real change law of the prestressing force of the anchor cable. The research results are as follows: Design, construction provides a theoretical basis and technical support.