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石宏顺,钱松荣,原群盛,徐婷,张国浩.基于近场动力学理论的准脆性材料的本构力函数的构建
Construction of the constitutive force function of quasi-brittle materials based on the peridynamic theory[J].计算力学学报,2017,(4):422~427
基于近场动力学理论的准脆性材料的本构力函数的构建
Construction of the constitutive force function of quasi-brittle materials based on the peridynamic theory
Construction of the constitutive force function of quasi-brittle materials based on the peridynamic theory
投稿时间:2016-03-27  修订日期:2016-08-09
DOI:10.7511/jslx201704004
中文关键词:  近场动力学    准脆性材料  PMB  本构力函数
英文关键词:peridynamic  bond  quasi-brittle material  prototype microelastic brittle material  constitutive force function
基金项目:贵州省留学人员科技活动(黔人项目资助合同[2014]13号);贵州省联合基金(黔科合LH字[2014]7624号)资助项目.
作者单位E-mail
石宏顺 贵州大学 机械工程学院, 贵阳 550025  
钱松荣 贵州大学 机械工程学院, 贵阳 550025 qiansongrong@163.com 
原群盛 贵州大学 机械工程学院, 贵阳 550025  
徐婷 贵州大学 机械工程学院, 贵阳 550025  
张国浩 贵州大学 机械工程学院, 贵阳 550025  
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中文摘要:
      近场动力学理论(PD)是基于非局部思想的连续介质力学新理论,用于研究材料破坏问题。根据准脆性材料破坏的线性和非线性的力学行为,在初始微观弹脆性材料(PMB)的本构力函数中引入了键的损伤模型,将键的断裂过程分成了线性的弹性变形阶段和非线性的损伤变形阶段,以此构建了准脆性材料的本构力函数的基本形式。以典型的准脆性材料为例构建了其本构力函数,通过在压缩载荷下对含预制不同角度单裂纹缺陷的类岩材料的裂纹扩展进行PD数值模拟仿真,裂纹起裂位置和扩展方向与试样试验结果在一定程度上保持了一致,证明了该基于近场动力学理论的典型准脆性材料的本构力函数可用于该类材料的破坏分析。
英文摘要:
      Peridynamic(PD) theory is a new non-local continuum mechanics theory,which can be used for studying material failure.Based on the linear and nonlinear mechanical behavior of failure process of quasi-brittle materials,the basic form constitutive force function of the quasi-brittle material was built by introducing the damage model of bond,which divided the fracture process of the bond into the linear elastic deformation stage and the nonlinear damage deformation stage,into the constitutive force function of the prototype microelastic brittle (PMB) material.Then,a typical quasi-brittle material was used as an example to build this constitutive force function.Experiment and PD numerical simulation of crack growth in rock-like material model with pre-existing single crack at different angles under a compression load were conducted.The results showed that the position of crack initiation and the direction of crack propagation were consistent to some extent,and verified that the constitutive force function of the typical quasi-brittle material was suitable for failure analysis.
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