Abstract
This paper considers adiabatic heat generation during rock fracture under
dynamic loading. To this end, a thermo‐viscoplastic constitutive model for rock
based on Mohr‐Coulomb and Rankine criteria augmented with the adiabatic
heat equation is developed. Young's modulus and the compressive and tensile
strengths are taken as the temperature‐dependent parameters. A numerical
solution algorithm based on the Newton‐Raphson iteration and the cutting
plane algorithm at the material point level is presented. Furthermore, there
is a description of an explicit staggered scheme for solving the heat conduction
at the specimen level in rock material. Then, the model is applied in 2D and 3D
numerical simulations of compression and tension tests on a rock‐like material
with compressive and tensile strengths of 120 and 10 MPa, respectively. The
simulations predict that the temperature rise because of adiabatic heat genera-
tion during rock fracture is in the order of a few degrees centigrade, even at a
strain rate of 100 s−1. In conclusion, the effect of including heat conduction is
shown to be insignificant because of the short duration of dynamic loading
processes.
dynamic loading. To this end, a thermo‐viscoplastic constitutive model for rock
based on Mohr‐Coulomb and Rankine criteria augmented with the adiabatic
heat equation is developed. Young's modulus and the compressive and tensile
strengths are taken as the temperature‐dependent parameters. A numerical
solution algorithm based on the Newton‐Raphson iteration and the cutting
plane algorithm at the material point level is presented. Furthermore, there
is a description of an explicit staggered scheme for solving the heat conduction
at the specimen level in rock material. Then, the model is applied in 2D and 3D
numerical simulations of compression and tension tests on a rock‐like material
with compressive and tensile strengths of 120 and 10 MPa, respectively. The
simulations predict that the temperature rise because of adiabatic heat genera-
tion during rock fracture is in the order of a few degrees centigrade, even at a
strain rate of 100 s−1. In conclusion, the effect of including heat conduction is
shown to be insignificant because of the short duration of dynamic loading
processes.
| Original language | English |
|---|---|
| Pages (from-to) | 1770-1783 |
| Journal | International Journal for Numerical and Analytical Methods in Geomechanics |
| Volume | 43 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 25 Jun 2019 |
| Publication type | A1 Journal article-refereed |
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- Publication forum level 2