各向异性对平板裂纹扩展路径的影响研究  

Effect of anisotropy on the crack propagation path of plate

作　　者：张向奎[1] 申国哲[2] 许博 郑国君[2] 胡平[2] 李伟东[2] ZHANG Xiang-kui;SHEN Guo-zhe;XU Bo;ZHENG Guo-jun;HU Ping;LI Wei-dong(School of Artificial Intelligence,Dalian University of Technology,Dalian 116024,China;School of Automotive Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学人工智能学院,大连116024 [2]大连理工大学汽车工程学院,大连116024

出　　处：《计算力学学报》2023年第5期815-820,共6页Chinese Journal of Computational Mechanics

基　　金：辽宁省应用基础研究计划(2022JH2/101300224)资助项目。

摘　　要：近场动力学理论克服了经典连续介质力学在模拟裂纹扩展方面的不足。本文基于微梁键构建了一般各向异性近场动力学平面模型,并探讨了各向异性对于裂纹扩展路径的影响。首先,建立一般各向异性的微梁键,并基于插值法建立了一般各向异性近场动力学平面模型的应变能密度表达式;然后,利用应变能密度互等原理求解出近场动力学平面本构模型的一般各向异性参数;最后,通过带初始切口的平板断裂实验研究了不同各向异性参数对于平板裂纹扩展路径的影响。Peridynamic(PD)theory can overcome the shortcomings of Classical Continuum Mechanics(CCM)in simulating crack initiation and crack propagation.In this paper,a general anisotropic PD plate model is proposed based on the micro-beam bond,and the effect of anisotropy on the crack propagation path of a plate is discussed.Firstly,the general anisotropic micro-beam bond was established,and the strain energy density of the general anisotropic PD plate model was determined by interpolation method.Secondly,the general anisotropic parameters of the PD plate constitutive model were obtained by equating the strain energy densities of PD and CCM theories.Finally,the general isotropic PD plate model was established by parametric degradation,and the effects of anisotropy on the plate crack propagation path were studied by a pre-notched plate under tension condition.

关 键 词：裂纹扩展 近场动力学 各向异性 微梁键 

分 类 号：O346.1[理学—固体力学]