[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()

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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

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.

References:

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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.

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