A Coupled Thermomechanical Crack Propagation Behavior of Brittle Materials by Peridynamic Differential Operator  

作　　者：Tianyi Li Xin Gu Qing Zhang 

机构地区：[1]College of Architectural Engineering,Jiangsu Open University,Nanjing,210036,China [2]Department of Engineering Mechanics,Hohai University,Nanjing,211100,China

出　　处：《Computer Modeling in Engineering & Sciences》2024年第7期339-361,共23页工程与科学中的计算机建模（英文）

基　　金：supported by the University Natural Science Foundation of Jiangsu Province(Grant No.23KJB130004);the National Natural Science Foundation of China(Grant Nos.11932006,U1934206,12172121,12002118).

摘　　要：This study proposes a comprehensive,coupled thermomechanical model that replaces local spatial derivatives in classical differential thermomechanical equations with nonlocal integral forms derived from the peridynamic differential operator(PDDO),eliminating the need for calibration procedures.The model employs a multi-rate explicit time integration scheme to handle varying time scales in multi-physics systems.Through simulations conducted on granite and ceramic materials,this model demonstrates its effectiveness.It successfully simulates thermal damage behavior in granite arising from incompatible mineral expansion and accurately calculates thermal crack propagation in ceramic slabs during quenching.To account for material heterogeneity,the model utilizes the Shuffle algorithm andWeibull distribution,yielding results that align with numerical simulations and experimental observations.This coupled thermomechanical model shows great promise for analyzing intricate thermomechanical phenomena in brittle materials.

关 键 词：Peridynamic differential operator thermomechanical coupling HETEROGENEITY numerical simulation 

分 类 号：O17[理学—数学]