TY  - JOUR
T1  - A note about the rate-and-state-dependent friction model in a thermodynamical framework of the Biot-type equation
A1  - Roubíček, Tomáš
JA  - Geophysical Journal International
Y1  - 2014
VL  - 199
IS  - 1
SP  - 286
EP  - 295
M2  - doi: 10.1093/gji/ggu248
KW  - damage
KW  - Dieterich-Ruina model
KW  - effective temperature
KW  - Frictional contact
KW  - plasticity.
KW  - thermodynamics
N2  - The conventional, phenomenological rate-and-state-dependent friction model of Dieterich-Ruina’s type is discussed and slightly modified so that, after introducing an artificial internal variable (formally in a position like effective temperature) on the fault, it is driven by a free and a dissipative energies. In contrast to the original model, it thus allows for a formulation in the framework of rational thermodynamics, including the energy balance, and for rigorous numerical analysis. This also suggests an analogous rate-and-state-dependent plastic bulk model using damage/temperature as the state variable controlling the plastic yield stress.
M1  - Preprint project = NCMM
M1  - Preprint year = 2014
M1  - Preprint number = 17
M1  - Preprint ID = NCMM/2014/17
ER  -