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Original scientific paper

https://doi.org/10.17559/TV-20150406112756

Space wave equation considering damage-induced weakening and strain rate dependency of rock

Yue Zhai ; School of Geology Engineering and Geomatics, Chang’an University, No 126 Yanta Road, Shaanxi Xi’an 740054, P. R. China
Nan Li ; School of Geology Engineering and Geomatics, Chang’an University, No 126 Yanta Road, Shaanxi Xi’an 740054, P. R. China
Si-wei Wang ; School of Geology Engineering and Geomatics, Chang’an University, No 126 Yanta Road, Shaanxi Xi’an 740054, P. R. China
Yu-tao Zhang ; Department of Mining Engineering, Missouri University of Science and Technology, 102 Parker Hall, 300 W 13 Rolla, MO 65409, Missouri, USA


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Abstract

Split Hopkinson pressure bar (SHPB) apparatus has been used to characterize the dynamic properties of rock. The effect of the geometry-induced stress wave dispersion, especially under a high strain rate due to impact loading, deserves attention. In this study, the space wave equation which can simulate the stress wave propagating through rock was established, with consideration of the damage-induced weakening and strain rate dependency. The specific parameters of the wave equation were determined using a hybrid genetic algorithm based on the SHPB test results. Furthermore, stress wave propagation in the SHPB was simulated with a finite difference method involving a developed constitutive model in order to verify the space wave equation. The results obtained from numerical simulation show good agreement with experimental test results. In summary, the proposed space wave equation can be effectively used to investigate the dynamic properties of rock.

Keywords

constitutive equation, SHPB, stress wave, rock materials, 3-D wave equation

Hrčak ID:

143158

URI

https://hrcak.srce.hr/143158

Article data in other languages: croatian

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