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Abbreviations
- \(U,U_{{\text{d}}} ,U_{{\text{e}}}\) :
-
Total absorbed strain energy density, dissipated strain energy density, and elastic strain energy density, respectively (J/cm3)
- \(\sigma\) :
-
Axial stress (MPa)
- \(\varepsilon ,\varepsilon^{e}\) :
-
Axial strain and elastic strain (−)
- \(E_{{\text{u}}} ,E_{0}\) :
-
Unloading modulus of elasticity and initial elastic modulus (GPa)
- \(D\) :
-
Damage variable (−)
- \(\sigma_{{\text{s}}} ,\sigma_{{\text{u}}}\) :
-
Peak strength and residual strength (MPa)
- \(\sigma_{{{\text{cd}}}}\) :
-
Dynamic strength (MPa)
- \(\dot{\varepsilon }_{{{\text{cd}}}} ,\dot{\varepsilon }_{{\text{s}}}\) :
-
Strain rate and quasi-static strain rate (/s)
- \(\sigma_{1} ,\sigma_{2}\) :
-
Peak strength when not considering damage under dynamic compression and quasi-static compression, respectively (MPa)
- \(\sigma_{{{\text{1s}}}} ,\sigma_{{{\text{2s}}}}\) :
-
Actual peak strength under dynamic compression and quasi-static compression, respectively (MPa)
- \(D_{1} ,D_{2}\) :
-
Damage variable under dynamic compression and quasi-static compression, respectively (−)
- \(\varepsilon_{1} ,\varepsilon_{2}\) :
-
Critical strain under dynamic compression and quasi-static compression, respectively (−)
- \(E_{1} ,E_{2}\) :
-
Initial tangent modulus under dynamic compression and quasi-static compression, respectively (GPa)
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Acknowledgements
The work reported in this paper is financially supported by the National Key R&D Programme of China (2018YFC0809400), and the National Natural Science Foundation of China (No. 51679232, No. 51809258). The authors are thankful for their support.
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Zhou, Y., Sheng, Q., Li, N. et al. The Influence of Strain Rate on the Energy Characteristics and Damage Evolution of Rock Materials Under Dynamic Uniaxial Compression. Rock Mech Rock Eng 53, 3823–3834 (2020). https://doi.org/10.1007/s00603-020-02128-w
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DOI: https://doi.org/10.1007/s00603-020-02128-w