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The Dynamic Deformation Properties of Rock Materials Under Different Types of Seismic Load

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Highlights

  • The dynamic behaviors of rock under different seismic loads are numerically simulated.

  • The properties of rock under different seismic loads are analyzed and compared.

  • The main factors of seismic load for the deformation properties of rock are determined.

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Abbreviations

\(\dot{\varepsilon }\) \(, \dot{\varepsilon }_{{\text{s}}}\) :

Strain rate and static strain rate, respectively

s :

Similarity-center

\(\alpha\) :

Geometric centre of the normal-yield surface

\(\overline{I}_{1}\) \(, \overline{J}_{2}\) :

First invariant of the current stress tensor and second invariant of the current deviatoric stress, respectively

\(I_{1}\) \(, J_{2}\) :

First invariant of the stress tensor and second invariant of the deviatoric stress, respectively

\(\overline{\sigma }\) :

Current stress considering the geometric centre of the sub-loading surface

f :

Yield surface function

R :

Similarity ratio

\(c\) \(, \varphi\) :

Cohesion and internal friction angle of rock, respectively

\(\varphi_{0}\) \(, \varphi_{r}\) :

Initial and residual internal friction angles, respectively

\(\kappa_{{\varphi_{0} }}\) \(, \kappa_{{\varphi_{1} }}\) :

Thresholds at which the internal friction angle starts to change and reaches its residual value, respectively

\(\kappa\) :

Internal variable

\({\text{d}}\varepsilon^{{\text{p}}}\) :

Is the increment of plastic strain

\(c_{0}\) \(, c_{{\text{r}}}\) :

Initial and residual cohesion

\(\kappa_{{c_{0} }}\) \(, \kappa_{{c_{1} }}\) :

Thresholds at which the cohesion starts to change and reach its residual value, respectively

\(\kappa_{{\text{E}}}\) :

Threshold at which the Young’s modulus reaches its residual value under static strain conditions

\(E_{{\text{s}}}\) \(, E_{{\text{E}}}\) :

Initial and residual Young’s moduli under static strain conditions, respectively

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Acknowledgements

The work reported in this paper is financially supported by the National Natural Science Foundation of China (No. U21A20159; No. 52179117), the Youth Innovation Promotion Association CAS (No. 2021325). The authors are thankful for their support.

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Authors and Affiliations

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

    Yongqiang Zhou, Qian Sheng, Xiaodong Fu & Haifeng Ding

  2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing, 100049, China

    Qian Sheng & Haifeng Ding

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  1. Yongqiang Zhou
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  2. Qian Sheng
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  3. Xiaodong Fu
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  4. Haifeng Ding
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Correspondence to Xiaodong Fu.

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Zhou, Y., Sheng, Q., Fu, X. et al. The Dynamic Deformation Properties of Rock Materials Under Different Types of Seismic Load. Rock Mech Rock Eng 55, 5807–5820 (2022). https://doi.org/10.1007/s00603-022-02947-z

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