Crack Analysis Method Based on a Combination of Meshfree Method and Continuous Damage Mechanics

Authors

  • Hyo-Song Kim Faculty of Mechanics, Kim Il Sung University, Pyongyang, DPR Korea
  • Jang-Chol Hwang Faculty of Mechanics, Kim Il Sung University, Pyongyang, DPR Korea
  • Kumchol Yun Faculty of Mechanics, Kim Il Sung University, Pyongyang, DPR Korea
  • Jun-Hyok Ri Institute of Mechanics, State Academy of Sciences, Pyongyang, DPR Korea
  • Chi-Myong Kim Faculty of Civil Engineering, Pyongyang University of Transport, Pyongyang, DPR Korea

DOI:

https://doi.org/10.13052/ejcm2642-2085.3461

Keywords:

Element-free Galerkin (EFG) method, Continuous damage mechanics (CDM)model, damage initiation, damage evolution process

Abstract

In this paper, the application method of continuum damage mechanics in the framework of the element-free method is established. The method of mapping the damage parameters used in continuous damage mechanics (CDM) to the nodes and damping of the element stiffness matrix by the damage parameters are discussed. Since the method of constructing the global stiffness matrix from the element stiffness matrix in the element-free Galerkin method, one of the typical meshfree methods, is different from the finite element method, the continuous damage mechanical model as in the finite element method cannot be applied. To predict the damage initiation and crack propagation directions, the maximum principal stress criterion is used and CDM model is used to predict the damage evolution process under quasi-static loading. The calculated results are compared with several experimental results and show good agreement.

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Author Biographies

Hyo-Song Kim, Faculty of Mechanics, Kim Il Sung University, Pyongyang, DPR Korea

Hyo-Song Kim was born in 1992, graduated from Faculty of Mechanics, Kim Il Sung University, DPR Korea, in 2016 and acquired a Ph.D. in Computational Solid Mechanics. Interest fields are structure design, fracture mechanics and computational mechanics.

Jang-Chol Hwang, Faculty of Mechanics, Kim Il Sung University, Pyongyang, DPR Korea

Jang-Chol Hwang was born in 2002, graduated from Faculty of Mechanics, Kim Il Sung University, DPR Korea, in 2023 and is a graduate student of the faculty of mechanics. Interest fields are computational mechanics and fracture mechanics.

Kumchol Yun, Faculty of Mechanics, Kim Il Sung University, Pyongyang, DPR Korea

Kumchol Yun was born in 1983, graduated from Faculty of Mechanics, Kim Il Sung University, DPR Korea, in 2004. From 2014 to 2019, Yun researched at Harbin Engineering University. Yun is an expert in the fields of mechanics, obtaining the Ph.D. degree in Damage Mechanics. Interest fields are structure design, fracture mechanics, and computational mechanics.

Jun-Hyok Ri, Institute of Mechanics, State Academy of Sciences, Pyongyang, DPR Korea

Jun-Hyok Ri was born in 1986, graduated from University of Sciences in 2006. He obtained the Ph.D. degree from State Academy of Sciences. Interest fields are fracture mechanics, nonlinear optimization and multiscale modeling of composite and damage materials.

Chi-Myong Kim, Faculty of Civil Engineering, Pyongyang University of Transport, Pyongyang, DPR Korea

Chi-Myong Kim was born in 1984, graduated from Pyongyang University of Transport, DPR Korea, in 2006. Kim has been working as a lecturer at faculty of civil engineering, Pyongyang University of Transport, since 2010. Interest fields are bridge structure design and construction. He obtained the Ph.D. degree from Pyongyang University of Transport.

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Published

2026-06-23

How to Cite

Kim, H.-S. ., Hwang, J.-C. ., Yun, K. ., Ri, J.-H. ., & Kim, C.-M. . (2026). Crack Analysis Method Based on a Combination of Meshfree Method and Continuous Damage Mechanics. European Journal of Computational Mechanics, 34(06), 449–470. https://doi.org/10.13052/ejcm2642-2085.3461

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Original Article