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岩石材料裂纹扩展的改进近场动力学方法模拟
引用本文:马鹏飞,李树忱,周慧颖,赵世森.岩石材料裂纹扩展的改进近场动力学方法模拟[J].岩土力学,2019,40(10):4111-4119.
作者姓名:马鹏飞  李树忱  周慧颖  赵世森
作者单位:山东大学 岩土与结构工程研究中心,山东 济南 250061
基金项目:国家重点研发计划(No. 2016YFC0600803)
摘    要:在传统键基近场动力学模型的基础上,提出可以反映岩石类材料应力-应变变化特点的改进型模型,弥补了传统近场动力学模型在模拟岩石类材料时无法反映岩石内应力随应变先增加再减小最后破坏这一特性的不足。运用改进型模型,对含有单裂纹试件在不同预制裂纹角度及拉伸荷载条件下的裂纹扩展过程进行了数值模拟,分析了开裂角度在不同预制裂纹角度及拉伸荷载条件下的变化。结果表明:预制角度及拉伸荷载对开裂角度都有影响,在试件周围拉荷载接近的情况下会获得较小的开裂角,并且在拉荷载一定的条件下开裂角会有先增加后减少的规律。同时模拟了含裂纹岩石在单轴压缩条件下的裂纹扩展情况,将数值模拟的结果与室内试验的结果对比,验证了所提出新模型的有效性。所提出的新模型可以较好地模拟岩石类材料在拉荷载条件下的力学特性,在岩石数值模拟方面有着较为广泛的应用前景。

关 键 词:岩石力学  近场动力学  裂纹扩展  材料断裂  
收稿时间:2018-09-21

Simulations of crack propagation in rock-like materials using modified peridynamic method
MA Peng-fei,LI Shu-chen,ZHOU Hui-ying,ZHAO Shi-sen.Simulations of crack propagation in rock-like materials using modified peridynamic method[J].Rock and Soil Mechanics,2019,40(10):4111-4119.
Authors:MA Peng-fei  LI Shu-chen  ZHOU Hui-ying  ZHAO Shi-sen
Institution:Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, China
Abstract:The traditional peridynamic model is impossible to reflect characteristics of the internal stress in rock-like materials, which first increases, then reduces and finally damages. Based on the traditional bond-based peridynamic model, an improved model is proposed to reflect the characteristics of the stress and strain in rock-like materials. This new model makes up for the deficiency of the traditional one. The modified model was used to simulate the crack propagation process of rock specimens with a single crack under different prefabricated crack angles and tensile loads. The variation of the cracking angle under different prefabricated angles and tensile load conditions is analyzed. The results show that the prefabrication angle and tensile load affect the cracking angle. A small crack angle appears when the tensile load around the rock specimens is nearly equal, and the cracking angle increases first and then reduces under the condition of a certain tensile load. The model was also used to simulate crack propagation process of rock under uniaxial compression. Comparing the results of the numerical simulation with the results of the laboratory test, the validity of the proposed model is verified. The proposed model can well simulate the mechanical properties of rock materials under tensile loading conditions, and it presents a broad application prospect in rock numerical simulation.
Keywords:rock mechanics  peridynamic  crack propagation  material fracture  
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