具有随机裂纹岩石类材料破坏形态的近场动力学模拟  

Peridynamics simulation of failure patterns of rock materials with random cracks

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作  者:彭一 宁晓骏[1] 刘国坤 侯庆 郑立静 PENG Yi;NING Xiaojun;LIU Guokun;HOU Qing;ZHENG Lijing(School of Civil Engineering and Mechanics,Kunming University of Science and Technology,Kunming Yunnan 650500,China)

机构地区:[1]昆明理工大学建筑工程学院,云南昆明650500 [2]湖南工程学院,湖南湘潭411104

出  处:《工业安全与环保》2024年第10期36-42,共7页Industrial Safety and Environmental Protection

基  金:云南省教育厅项目(22B0737)。

摘  要:随机裂隙的存在会导致岩石呈现多样化的失效过程,为此利用常规态型近场动力学模型建立了岩石破坏算法,通过建立随机裂隙的几何参数(裂隙中心点位置、迹长、倾角)分布函数,实现带有随机裂隙岩石材料的破坏过程模拟,同时提出了基于多裂隙扩展的裂隙量化参数用以定量描述裂隙的演化过程,最后探讨了边界加载速率、弹性模量及随机裂隙数量对裂隙演化过程的影响。结果表明,较大的加载速率会明显影响岩石内部裂隙的发育程度及扩展形态,导致裂隙扩展率及裂隙发育率进展加快,裂隙倾向于多形式的扩展;而弹性模量增加会造成裂隙以单一化的形式扩展,并不会呈现多形态裂隙对岩石破坏的共同作用;随机裂隙数量的增加会导致裂隙内部相互发育、扩展,形成较为复杂的裂隙网络,使得岩石破坏呈现碎片化。The existence of random fissures will lead to diverse failure processes in rocks,so the rock failure algori thm is established by using the ordinary state-based peridynamics model,and the failure process simulation of rock materials with random fractures is realized by establishing the geometric parameters(position of fracture center point,trace length,inclination)distribution function of random fractures,in addition,fracture quantification parameters based on multi-fracture propagation are proposed to quantitatively describe the evolution process of fractures.Finally,the ef fects of boundary loading rate,elastic modulus of materials and random number of fractures on the fracture evolution process are discussed.The results show that a large loading rate will significantly affect the development length and propagation morphology of fractures in the rock,resulting in accelerated fracture propagation rate and fracture devel opment rate,and fractures tend to spread in multiple forms.The increase of elastic modulus will cause the singulariza tion of fracture propagation,and will not show the joint effect of multi-morphological fractures.The increase of the number of random fractures inside the rock will lead to the mutual development and expansion of the fractures,forming a more complex fracture network,which significantly reduces the strength of the overall structure.

关 键 词:蒙特卡洛方法 岩石破坏 近场动力学 随机裂隙 裂隙量化参数 

分 类 号:TU45[建筑科学—岩土工程]

 

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