We study the initiation of an unstable antiplane elastodynamic shear process under slip‐weakening friction. give analytical expression slip that we intrepret using eigenvalue analysis. Considering only part solution associated with positive eigenvalues, define a “dominant part” characterized by exponential growth time. An explicit formula is given for dominant controls development instability after application initial perturbation on surface or inside elastic body. It shows in response to...

We simulate here dry granular flows resulting from the collapse of columns on an inclined channel (up to 22°) and compare precisely results with laboratory experiments. Incompressibility is assumed despite dilatancy observed in experiments 10%). The 2-D model based so-called μ(I) rheology that induces a Drucker-Prager yield stress variable viscosity. A nonlinear Coulomb friction term, representing lateral walls channel, added model. demonstrate this term crucial accurately reproduce...

Understanding the interfacial properties of solids with their environment is a crucial problem in fundamental science and applications. Elastomers have challenged scientific community this respect, satisfying description still missing. Here, we argue that elastomers, such as wettability, can be understood nonlinear elastic model assumption strain-independent surface energy. We show our captures accurately available data on elastomer wettability discuss its implications.

We consider the two‐dimensional (2‐D) elastic problem of slip instability under dependent friction. This paper concentrates on parameters that determine duration initiation phase, is, delay between an initial small perturbation system at metastable equilibrium and onset dynamic rupture propagation. first case a homogeneous fault (i.e., with infinite length) friction varying weakening rate. show different laws associated same values stress drop critical lead to broad range duration. The is...

Numerical simulation of the rupture process is usually performed under an assumption scale invariance friction although heterogeneous fault properties are shown by both direct observations surface crack geometry and slip inversion results. We investigate if it possible to define effective law for a finite with small‐scale heterogeneity, that is, distribution narrow segments resistance higher than rest fault. consider model where local boundary condition corresponds linear slip‐dependent law....

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This work is concerned with the flow of a viscous plastic fluid. We choose model Bingham type taking into account inhomogeneous yield limit fluid, which well-adapted in description landslides. After setting general threedimensional problem, blocking property introduced. then focus on necessary and sufficient conditions such that fluid occurs. The anti-plane twodimensional onedimensional cases considered. A variational formulation terms stresses deduced. More fine properties dealing local...

To investigate the effect of heterogeneity resistance on a fault, we present an analysis behaviour canonical model, namely periodic system coplanar faults that can slip under slip-weakening friction law. The sliding patches is characterized by weakening rate α. We stability based decomposition solution set eigenfunctions increasing periodicities are multiples natural period system. discuss structure discrete spectrum static solution. For given geometry, show there exists transition value α0...

This paper concentrates on the problem of fault interaction and earthquake triggering through 1980 Irpinia, Italy, sequence. More specifically, this deals with second subevent by mainshock. The between two segments is modeled a dynamic Coulomb failure function. aims are, first, to discriminate static stress effects triggering, if these exist, second, estimate strength relative initial state stress, third, determine parameters slip‐dependent friction law that lead observed delay 20 s....