Strength Evaluation Criteria and Equivalent Plastic Strain for Ideal M-C Materials

XI Feng; LI Fang; HU Yachao; TAN Yinghua; WEN Xinyue

doi:10.21656/1000-0887.440345

Volume 45 Issue 12

Dec. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(12): 1567-1576

XI Feng, LI Fang, HU Yachao, TAN Yinghua, WEN Xinyue. Strength Evaluation Criteria and Equivalent Plastic Strain for Ideal M-C Materials[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1567-1576. doi: 10.21656/1000-0887.440345

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Strength Evaluation Criteria and Equivalent Plastic Strain for Ideal M-C Materials

doi: 10.21656/1000-0887.440345

1.
School of Civil Engineering, Shandong Jianzhu University, Key Laboratory of Building Structural Retrofitting and Underground Space Engineering, Ministry of Education, Jinan 250101, P.R.China
2.
College of Civil Engineering and Architecture, Shandong University of Science and Technology, Qingdao, Shandong 266590, P.R.China

Received Date: 2023-12-04
Rev Recd Date: 2024-03-16
Publish Date: 2024-12-01

Abstract

Abstract

Based on the ideal Mohr Coulomb (M-C) yield criterion, the concepts and formulas of equivalent stresses in tension, compression, and shear, as well as the corresponding three strength evaluation conditions were presented. According to the equivalent principle of plastic work, the equivalent plastic strain and the equivalent plastic shear strain in tension and compression were derived, which are conjugated with the equivalent stress mentioned above. For different friction coefficients, the variation characteristics of these equivalent strains were discussed. Differing from the Mises equivalent strain, the M-C equivalent strain can reflect the influence of the hydrostatic pressure, and can also degenerate into a simple stress state. These concepts of equivalent stress and equivalent strain have clear physical meanings and can be applied to more accurately and effectively evaluate the strengths of materials with different tensile and compressive properties. They also have direct application values for calibrating constitutive model parameters under complex stress states through experiments under simple stress states.
- M-C equivalent stress,
- M-C equivalent plastic strain,
- ideal M-C yield criterion,
- strength evaluation criterion

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References

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