[1] Yang Huichao, Xu Feiyun, Zhu Dasheng, Liu Yadong, et al. Research on damage evolution of metal platebased on improved micropolar peridynamic model [J]. Journal of Southeast University (English Edition), 2019, 35 (3): 292-301. [doi:10.3969/j.issn.1003-7985.2019.03.004]
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Research on damage evolution of metal platebased on improved micropolar peridynamic model(
)
基于改进的近场动力学微极模型的金属块损伤演化研究
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 35
- Issue:
- 2019 3
- Page:
- 292-301
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2019-09-30
Info
- Title:
- Research on damage evolution of metal platebased on improved micropolar peridynamic model
- 基于改进的近场动力学微极模型的金属块损伤演化研究
- Author(s):
- Yang Huichao1, Xu Feiyun1, Zhu Dasheng2, Liu Yadong1
-
1School of Mechanical Engineering, Southeast University, Nanjing 211189, China
2School of Mechanical Engineering, Nanjing Institute of Technology, Nanjing 211167, China
- Keywords:
- micropolar peridynamic model; elastic-plastic constitutive equation; damage evolution; plastic deformation; digital image correlation; tensile test
- PACS:
- O347.1
- DOI:
- 10.3969/j.issn.1003-7985.2019.03.004
- 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 micro-beam 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.
- 为了研究金属材料的损伤演化过程, 提出一种改进的近场动力学微极模型, 通过在近场动力学微极模型中构建弹塑性本构关系, 来模拟不同泊松比金属材料的弹塑性变形和损伤过程.首先, 结合物质点键所受的拉力, 通过增加键间物质点的相互作用弯矩, 对物质点构成的微极梁进行坐标转换, 得到近场动力学微极模型的数值计算形式.然后, 通过差分算法计算物质点的位移得到应变值, 并根据广义胡克定律得到应力值, 使用米赛斯屈服准则来判定弹塑性变形状态, 并采用不同的本构方程来模拟金属材料的弹塑性变形及损伤过程.最后, 将近场动力学微极模型应用于含中心圆孔的金属板在不同速度边界条件下的损伤演化过程模拟, 并通过实验验证模型的有效性.实验中, 利用DIC方法来分析位移与应变分布.通过与DIC分析结果相比较, 改进的近场动力学微极模型的误差比键基模型误差低7.2%.此外, 通过加载不同速度边界条件, 得到了金属块的加载速度与损伤演化的关系.
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Memo
- Memo:
-
Biographies: Yang Huichao(1978—), male, Ph.D.candicate; Xu Feiyun(corresponding author), male, doctor, professor, fyxu@seu.edu.cn.
Foundation item: The National Natural Science Foundation of China(No.51575101).
Citation: Yang Huichao, Xu Feiyun, Zhu Dasheng, et al. Research on damage evolution of metal plate based on improved micropolar peridynamic model[J].Journal of Southeast University(English Edition), 2019, 35(3):292-301.DOI:10.3969/j.issn.1003-7985.2019.03.004.