中文摘要：

提出了广义粒子动力学数值分析方法,该方法是一种无网格数值分析方法,可以考虑关联塑性流动法则和非关联塑性流动法则对岩石材料塑性变形的影响。将广义粒子动力学数值分析方法应用于巷道围岩的弹塑性分析,确定了巷道围岩的应力场、位移场和塑性区。该数值模拟结果与有限元结果吻合较好,表明将考虑岩石材料剪胀特性的弹塑性本构理论引入到广义粒子动力学数值分析方法,不失为模拟岩石类材料弹塑性破坏的一种有效数值手段,研究结果为更好地理解岩石材料的屈服破坏过程提供重要的参考。

英文摘要：

The novel meshless numerical method, which is known as general particle dynamics（GPD） method, is proposed. The non-associated flow law and the associated flow law can be employed to analyze the plastic deformation of the surrounding rock masses around tunnels using the GPD method. The stability of the surrounding rock masses around tunnels are also determined using the GPD method as well as the stress fields, displacement fields and plastic zone. The numerical results by the proposed method are in good agreement with the FEM results. It is proved that the GPD method is efficient to predict the elastic-plastic properties of the surrounding rock masses around tunnels.