A plastic strain based statistical damage model for brittle to ductile behaviour of rocks

Changtai Zhou, Kai Zhang, Haibo Wang and Yongxiang Xu

Abstract

Rock brittleness, which is closely related to the failure modes, plays a significant role in the design and construction of many rock engineering applications. However, the brittle-ductile failure transition is mostly ignored by the current statistical damage constitutive model, which may misestimate the failure strength and failure behaviours of intact rock. In this study, a new statistical damage model considering rock brittleness is proposed for brittle to ductile behaviour of rocks using brittleness index (BI). Firstly, the statistical constitutive damage model is reviewed and a new statistical damage model considering failure mode transition is developed by introducing rock brittleness parameter-BI. Then the corresponding damage distribution parameters, shape parameter m and scale parameter F0, are expressed in terms of BI. The shape parameter m has a positive relationship with BI while the scale parameter F0 depends on both BI and

Key Words

rock brittleness; constitutive model; plastic strain; damage model; deep earth science

Address

Changtai Zhou and Kai Zhang: 1.) Guangdong Provincial Key Laboratory of Deep Earth Sciences and Geothermal Energy Exploitation and Utilization, Institute of Deep Earth Sciences and Green Energy, College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, China 2.) Shenzhen Key Laboratory of Deep Underground Engineering Sciences and Green Energy, Shenzhen University, Shenzhen, China Haibo Wang: Department of Civil Engineering, Nanjing Forestry University, Nanjing, China Yongxiang Xu: Mining Institute, China Coal Research Institute, Beijing, China

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