东南大学学报（英文版）2019，Vol.35Issue(3)：292-301,10.DOI:10.3969/j.issn.1003-7985.2019.03.004
基于改进的近场动力学微极模型的金属块损伤演化研究
Research on damage evolution of metal plate based on improved micropolar peridynamic model
摘要
Abstract
To study the damage evolution of the metal plate in elastic and plastic deformation stages,an improved micropolar peridynamic model is proposed to simulate the deformation process and damage evolution of metal materials with variable Poisson's ratios in the elastic-plastic stages.Firstly,both the stretching and bending moments of the bonds between the material points are added to peridynamic pairwise force functions,and the coordinate transformation of the microbeam made up of bonds is deduced.Therefore,the numerical calculation implementation of the improved micropolar peridynamic model is obtained.Then,the strain values are obtained by solving the difference equation based on the displacement values of material points,and the stress values can be calculated according to generalized Hook's law.The elastic and plastic deformation stages can be estimated based on the von Mises yield criterion,and different constitutive equations are adopted to simulate the damage evolution.Finally,the proposed micropolar peridynamic model is applied to simulate the damage evolution of a metal plate with a hole under velocity boundary conditions,and the effectiveness of the model is verified through experiments.In the experiments,the displacement and strain distributions in the stretching process are analyzed by the digital image correlation (DIC)method.By comparing the results,the proposed model is more accurate than the bond-based peridynamic model and the error of the proposed model is 7.2％ lower than that of the bond-based peridynamic model.By loading different velocity boundary conditions,the relationship between the loads and damage evolution is studied.关键词
近场动力学微极模型/弹塑性本构关系/损伤演化/弹塑性变形/数字图像关联技术/拉伸试验Key words
micropolar peridynamic model/elastic-plastic constitutive equation/damage evolution/plastic deformation/digital image correlation/tensile test分类
数理科学引用本文复制引用
杨会超,许飞云,朱大胜,刘亚东..基于改进的近场动力学微极模型的金属块损伤演化研究[J].东南大学学报（英文版）,2019,35(3):292-301,10.基金项目
The National Natural Science Foundation of China (No.51575101). （No.51575101）
