Advances in peridynamics modeling of deformation and fracturing of brittle geomaterials  

作　　者：Feng Tian Zaobao Liu Hongbo Li Enda Zhang Jinxin Zhou Jian-fu Shao 

机构地区：[1]Key Lab of Ministry of Education on Safe Mining of Deep Metal Mines,College of Resources and Civil Engineering,Northeastern University,Shenyang,Liaoning 110819,China [2]Key Lab of Deep Engineering and Intelligent Technology,Institute of Deep Engineering and Intelligent Technology,Northeastern University,Shenyang,Liaoning 110819,China [3]Univ.Lille,CNRS,Centrale Lille,UMR 9013-LaMcube-Laboratoire de M´ecanique,Multiphysique,Multi-´echelle,Lille F-59000,France

出　　处：《Deep Resources Engineering》2024年第3期57-81,共25页深部资源工程（英文）

基　　金：supported by the National Natural Science Foundation of China(NO.52278333).

摘　　要：Peridynamics(PD)is an emerging method that establishes a theoretical framework based on non-local theory to describe material mechanical behavior with spatial integral equations.It gives a unified expression of the me-dium including state transformation and characterization in different scales.It is showing great potential for evaluating the complicated mechanical behaviors of brittle solids.In the past two decades,peridynamics has been showing its great potential and advantages in modeling crackings of brittle materials although there are many challenges.The present paper summarizes firstly the theoretical framework and advantages of peridy-namics for modeling fracturing.It introduces then the theoretical improvements to address challenges of peri-dynamics in modeling brittle solid crackings including the release of Poisson ratio limit,different fracture criteria,contact-friction models,coupled constitutive models,and computing accuracy.Afterward,the extension of peridynamics is introduced to the coupled modeling with the other methods such as finite element method,phase field method,and particle-like method before its applications in static and dynamic cracking as well as those under impacts.Meanwhile,some contents that require further exploration are briefly summarized.Finally,the blind spots and future development of peridynamics are analyzed and discussed for the deformation and fracturing modeling of brittle geomaterials.

关 键 词：PERIDYNAMICS Non-local theory Discontinuous problem Brittle geomaterials Numerical simulation 

分 类 号：TG1[金属学及工艺—金属学]