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Article

Research on Failure Mechanism of Rockbolt Under Different Tensile–Shear Combination Loadings

1
College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao 266590, China
2
Shandong Key Laboratory of Intelligent Prevention and Control of Dynamic Disaster in Deep Mines, Shandong University of Science and Technology, Qingdao 266590, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2026, 16(10), 4959; https://doi.org/10.3390/app16104959 (registering DOI)
Submission received: 14 April 2026 / Revised: 7 May 2026 / Accepted: 14 May 2026 / Published: 15 May 2026
(This article belongs to the Section Civil Engineering)

Abstract

This paper investigates the mechanical characteristics of rockbolt under combined tensile–shear loading conditions. By studying the stress and deformation throughout the elastic and plastic stages of rockbolt, a failure model for rockbolt under different tensile–shear combination loadings was established. Key parameters, including the maximum bending moment MA and total plastic deformation λ, were identified and quantified as they evolve with changes in the displacement angle (combined tensile–shear state). The main novelty lies in formulating the key control parameters governing the elastic–plastic transition and failure process of rockbolts under combined tensile–shear loading and further incorporating them into FLAC2D to improve the simulation of tensile–shear failure of rockbolts. Numerical simulations of rockbolts under combined tensile–shear loading were performed using FLAC2D. The influence of a rock mass’ Young’s modulus and uniaxial compressive strength on the mechanical response of the rockbolt was investigated. The results indicate that the ultimate load-carrying capacity of the rockbolt remains essentially constant as the displacement angle increases, while the axial tensile force gradually decreases and the shear force gradually increases. The influence of a rock mass’ Young’s modulus on the stress–strain characteristics of the anchor exhibits a nonlinear positive correlation. When the uniaxial compressive strength of the rock mass is low, the rockbolt is prone to slippage during loading.
Keywords: rockbolt; failure model; tensile–shear loading; displacement angle; FLAC2D rockbolt; failure model; tensile–shear loading; displacement angle; FLAC2D

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MDPI and ACS Style

Jiang, B.; Zhang, Y.; Zhao, T.; Xing, M.; Zhu, K. Research on Failure Mechanism of Rockbolt Under Different Tensile–Shear Combination Loadings. Appl. Sci. 2026, 16, 4959. https://doi.org/10.3390/app16104959

AMA Style

Jiang B, Zhang Y, Zhao T, Xing M, Zhu K. Research on Failure Mechanism of Rockbolt Under Different Tensile–Shear Combination Loadings. Applied Sciences. 2026; 16(10):4959. https://doi.org/10.3390/app16104959

Chicago/Turabian Style

Jiang, Bo, Yubao Zhang, Tongbin Zhao, Minglu Xing, and Kai Zhu. 2026. "Research on Failure Mechanism of Rockbolt Under Different Tensile–Shear Combination Loadings" Applied Sciences 16, no. 10: 4959. https://doi.org/10.3390/app16104959

APA Style

Jiang, B., Zhang, Y., Zhao, T., Xing, M., & Zhu, K. (2026). Research on Failure Mechanism of Rockbolt Under Different Tensile–Shear Combination Loadings. Applied Sciences, 16(10), 4959. https://doi.org/10.3390/app16104959

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