On Energy Release Rates and Fracture Energy of Elastic Bodies With Cohesive Cracks

AN Ruimei; HOU Yongkang; LI Yunfeng; DUAN Shujin

doi:10.21656/1000-0887.440289

Volume 45 Issue 3

Mar. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(3): 295-302

AN Ruimei, HOU Yongkang, LI Yunfeng, DUAN Shujin. On Energy Release Rates and Fracture Energy of Elastic Bodies With Cohesive Cracks[J]. Applied Mathematics and Mechanics, 2024, 45(3): 295-302. doi: 10.21656/1000-0887.440289

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On Energy Release Rates and Fracture Energy of Elastic Bodies With Cohesive Cracks

doi: 10.21656/1000-0887.440289

AN Ruimei^{1, 2
,},
HOU Yongkang³,
LI Yunfeng⁴,
DUAN Shujin^{1, 5
,
,}

1.
School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China
2.
Key Laboratory of Roads and Railway Engineering Safety Control, Ministry of Education, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China
3.
School of Urban Geology and Engineering, Hebei GEO University, Shijiazhuang 050031, P.R.China
4.
College of Civil Engineering and Architecture, Shandong University of Science and Technology, Qingdao, Shandong 266590, P.R.China
5.
School of Energy and Construction Engineering, Shandong Huayu University of Technology, Dezhou, Shandong 253034, P.R.China

Received Date: 2023-09-21
Rev Recd Date: 2023-11-15
Publish Date: 2024-03-01

Abstract

Abstract

According to the cohesive crack model, there is a cohesive region near the crack tip of a cracked elastomer, and the expressions of fracture parameters in the cohesive region make the core research content. Under the assumption of a cohesive zone existing at the tip of a linear crack in an elastic plate, the zone was replaced by a fictitious linear crack, and a definite nonlinear functional relationship between the fictitious crack opening displacement and the cohesion was given. An elastic plate with a mode-Ⅰ edge crack was taken as an example, and the analytical solution satisfying the fictitious crack condition was derived. On this basis, the calculating methods for energy release rate G_a of physical crack tip propagation and energy release rate G_b of cohesive crack tip propagation, were proposed. The relationships between G_b, the J integral and fracture energy G_F were discussed. The results show that, critical energy release rate G_bc equals fracture energy G_F, which can be used as a fracture parameter for crack instability propagation of materials with cohesive regions. The proposed method is applicable to all elastic bodies with mode-Ⅰ, Ⅱ and Ⅲ cohesive cracks.
- cohesive zone,
- fictitious crack,
- energy release rate,
- J-integral,
- fracture energy

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References(26)

References

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