Rock Mechanics and Rock Engineering

, Volume 43, Issue 6, pp 763–776

Modeling Strain Rate Effect of Heterogeneous Materials Using SPH Method

Original Paper

DOI: 10.1007/s00603-010-0089-2

Cite this article as:
Ma, G.W., Wang, X.J. & Li, Q.M. Rock Mech Rock Eng (2010) 43: 763. doi:10.1007/s00603-010-0089-2


The strain rate effect on the dynamic compressive failure of heterogeneous material based on the smoothed particle hydrodynamics (SPH) method is studied. The SPH method employs a rate-insensitive elasto-plastic damage model incorporated with a Weibull distribution law to reflect the mechanical behavior of heterogeneous rock-like materials. A series of simulations are performed for heterogeneous specimens by applying axial velocity conditions, which induce different strain-rate loadings to the specimen. A detailed failure process of the specimens in terms of microscopic crack-activities and the macro-mechanical response are discussed. Failure mechanisms between the low and high strain rate cases are compared. The result shows that the strain-rate effects on the rock strength are mainly caused by the changing internal pressure due to the inertial effects as well as the material heterogeneity. It also demonstrates that the inertial effect becomes significant only when the induced strain rate exceeds a threshold, below which, the dynamic strength enhancement can be explained due to the heterogeneities in the material. It also shows that the dynamic strength is affected more significantly for a relatively more heterogeneous specimen, which coincides with the experimental results showing that the poor quality specimen had a relatively larger increase in the dynamic strength.


Heterogeneous material Strain rate effect Inertial effect Microcracking activities Smoothed particle hydrodynamics (SPH) method 

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.School of Civil and Resource EngineeringUniversity of Western AustraliaCrawleyAustralia
  2. 2.School of Civil and Environmental EngineeringNanyang Technological UniversitySingaporeSingapore
  3. 3.School of Mechanical, Aerospace and Civil EngineeringThe University of ManchesterManchesterUK

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