Variational formulation of rate- and state-dependent friction problems

Variational Formulation of Problems and Variational Methods

Non-Equilibrium Thermodynamical Framework for Rate- and State-Dependent Friction

Rateand state-dependent friction laws for velocity-step and healing are analysed from a thermodynamic point of view. Assuming a logarithmic deviation from steady-state, a unification of the classical Dieterich and Ruina models of rock friction is proposed.

A novel variational formulation for thermoelastic problems

Article history: Received 26 March 2014 Received in revised form 25 September 2014 Accepted 27 September 2014 Available online 15 October 2014

Rate and State Dependent Friction and the Stability of Sliding Between Elastically Deformable Solids

We study the stability of steady sliding between elastically deformable continua using rate and state dependent friction laws. That is done for both elastically identical and elastically dissimilar solids. The focus is on linearized response to perturbations of steady state sliding, and on studying how the positive direct effect (instantaneous increase or decrease of shear strength in response ...

Rate- and state-dependent friction law and statistical properties of earthquakes

– In order to clarify how the statistical properties of earthquakes depend on the constitutive law characterizing the stick-slip dynamics, we make an extensive numerical simulation of the one-dimensional spring-block model with a rateand state-dependent friction law. Both the magnitude distribution and the recurrence-time distribution are studied with varying the constitutive parameters charact...