基于虚拟区域方法的复合缺陷边坡与SH波相互作用机理研究

边坡失稳是土木工程领域必须面对的重大挑战与威胁，复合缺陷边坡在洞室、界面、裂纹等各种因素耦合作用下更易发生失稳。目前对边坡稳定性的解析研究主要集中在简单结构，但对含有各种介质缺陷的复杂边坡稳定性分析大多集中在数值方法研究。本项目拟利用理论分析和数值计算与仿真相结合的方法，通过解析建模，揭示复合缺陷边坡与SH波的相互作用机理，获得影响边坡稳定性评价的关键因素，并对结构进行优化，提高其稳定性。研究内容有：（1）基于虚拟区域方法，利用波函数展开方法及“镜像”思想建立含有洞室和界面裂纹的复合缺陷边坡与SH波相互作用的解析模型；（2）基于弹性断裂力学理论，通过机理分析提出影响复合缺陷边坡稳定性评价的关键因素及其取值范围；（3）基于多目标差分进化算法，通过调控关键因素，获得多因素优化的参数集合，进而提高复合缺陷边坡稳定性。本项目的研究成果将对土木工程领域中复合缺陷边坡的稳定性分析起到积极的推动作用。

Slope instability is a major challenge and threat in the field of civil engineering. The slope with composite defective is more likely to occur the phenomenon of instability due to the coupling effect of various factors such as caverns, interfaces, cracks and so on. The analytical investigation of slope stability is mainly focused on the simple structure currently, but the stability investigation of the complex slope with various medium defects is mostly focused on the study of numerical methods. This project intends to use the methods of theoretical analysis and numerical calculation with simulation, reveal the interaction mechanism between the slope with composite defective and SH waves through the analysis of the analytical model, obtain the key factors affecting slope stability evaluation, and optimize the structure to improve the stability of the structure. The research contents are as follows: (1) The analytical model of the interaction of the composite defective slope including the hole and the interfacial crack and SH waves is established with the method of wave function expansion and the idea of “image” based on fictitious domain method. (2) The range of values of key factors affecting slope stability evaluation are proposed through analyzing the mechanism based on elastic fracture mechanics theory. (3) The key factors are regulated and controlled by multi-objective differential evolutionary algorithm, and a set of parameters for multifactor optimization are obtained to improve the stability of the slope with composite defective. The research results of this project will play a positive role in the stability analysis of the composite defect slope structure in the field of civil engineering.