"The conventional, phenomenological rate-and-state-dependent friction model of Dieterich\u2013Ruina'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."@en . . "Roub\u00ED\u010Dek, Tom\u00E1\u0161" . "A note about the rate-and-state-dependent friction model in a thermodynamic framework of the Biot-type equation"@en . "1"^^ . "RIV/61388998:_____/14:00430576" . "0956-540X" . "10.1093/gji/ggu248" . . . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . "000342215600020" . "A note about the rate-and-state-dependent friction model in a thermodynamic framework of the Biot-type equation" . "969" . "[EDB7986B4C6B]" . . . "RIV/61388998:_____/14:00430576!RIV15-GA0-61388998" . "A note about the rate-and-state-dependent friction model in a thermodynamic framework of the Biot-type equation"@en . . "199" . "1" . "A note about the rate-and-state-dependent friction model in a thermodynamic framework of the Biot-type equation" . . . . "I, P(GAP201/10/0357)" . "Geophysical Journal International" . "10"^^ . . . . "The conventional, phenomenological rate-and-state-dependent friction model of Dieterich\u2013Ruina'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." . . . "non-linear differential equations; heat flow; plasticity"@en . . "1"^^ .