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International Journal of Engineering Technology and Construction, 2020, 1(2); doi: 10.38007/IJETC.2020.010201.

Statistical Damage Simulation Method for Rock Dynamic Deformation Process Based on Nonlinear Dynamic Strength Criterion


Ming Zhao

Corresponding Author:
Ming Zhao

Central South University, Hunan, China


Rock is a typical defective brittle material. The dynamic strain rate of rock has a very important influence on the dynamic deformation process of rock. Considering the non-linear effect of rock dynamic strain rate on rock strength, by improving the existing rock dynamic strength criterion, a non-linear dynamic strength criterion reflecting the effect of strain rate is established. Then, based on the non-linear dynamic strength criterion, by introducing statistical damage theory, the statistical damage constitutive model of rock dynamic deformation process is constructed, and the crank of rock dynamic triaxial test is put forward. Through triaxial compression tests, the whole process of rock non-linear deformation is divided into five stages: Initial compaction stage, linear deformation stage, strain hardening stage, strain softening stage and residual strength stage. In addition, the elastic modulus of some rocks varies with the confined pressure of triaxial tests in the on-line deformation stage. On this basis, statistical damage theory is introduced. Considering the influence of damage threshold and the deformation characteristics of residual strength stage, the analysis method of local deformation of rock matrix is obtained. A statistical damage constitutive model is established to simulate the whole process of rock non-linear deformation. The method of determining model parameters by triaxial compression test curve of rock is proposed. The analysis and discussion of an example show that the method is reasonable and feasible.


Strain Rate, Statistical Damage, Constitutive Model

Cite This Paper

Ming Zhao. Statistical Damage Simulation Method for Rock Dynamic Deformation Process Based on Nonlinear Dynamic Strength Criterion. International Journal of Engineering Technology and Construction (2020), Vol. 1, Issue 2: 1-13. https://doi.org/10.38007/IJETC.2020.010201.


[1] Liu H Y, Su T M.(2016) “dynamic damage constitutive model for a rock mass with non-persistent joints under uniaxial compression”, Chinese Journal of Geotechnical Engineering, 77, pp.12-20.

[2] Wang Z L, Shi H, Wang J G. (2018) “Mechanical Behavior and Damage Constitutive Model of Granite Under Coupling of Temperature and Dynamic Loading”, Rock Mechanics & Rock Engineering, 51(15), pp.1-16. https://doi.org/10.1007/s00603-018-1523-0

[3] Andreotti G, Lai C G.(2017) “A nonlinear constitutive model for beam elements with cyclic degradation and damage assessment for advanced dynamic analyses of geotechnical problems. Part II: validation and application to a dynamic soil–structure interaction problem”, Bulletin of Earthquake Engineering,15(7), pp.1-23. https://doi.org/10.1007/s10518-017-0091-0

[4] Xia C C, Tang Z C, Xiao W M. (2014) “New Peak Shear Strength Criterion of Rock Joints Based on Quantified Surface Description”, Rock Mechanics & Rock Engineering, 47(2), pp.387-400. https://doi.org/10.1007/s00603-013-0395-6

[5] Martemyanov A, Selyutina N S, Katorina A. (2017) “Incubation time criterion analysis of rock materials under dynamic loadings”, Procedia Structural Integrity,6, pp.336-343. https://doi.org/10.1016/j.prostr.2017.11.051

[6] Dou L M, Cai W, Gong S Y. (2014) “Dynamic risk assessment of rock burst based on the technology of seismic computed tomography detection”, Journal of China Coal Society, 39(2), pp.238-244(7).

[7] Petrov Y V, Smirnov I V, Volkov G A. (2017) “Dynamic failure of dry and fully saturated limestone samples based on incubation time concept”, Journal of Rock Mechanics and Geotechnical Engineering, 9(1), pp.125-134. https://doi.org/10.1016/j.jrmge.2016.09.004

[8] Cieślik J. Stress Drop as a Result of Splitting, (2015) “Brittle and Transitional Faulting of Rock Samples in Uniaxial and Triaxial Compression Tests”, Studia Geotechnica Et Mechanica, 37(1), pp.17-23. https://doi.org/10.1515/sgem-2015-0003

[9] Li C, Daxin E, Yi N. (2016) “Analysis on fracture initiation and fracture angle in ductile sheet metal under uniaxial tension by experiments and finite element simulations”, Journal of Materials Research, 31(24), pp.3991-3999. https://doi.org/10.1557/jmr.2016.412

[10] Shi X, Xu Y, Meng Y.(2016)“ Modified Hoek–Brown failure criterion for anisotropic rocks”, Environmental Earth Sciences, 75(11), pp.995. https://doi.org/10.1007/s12665-016-5810-3