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We consider the deformation of a geological structure with non-intersecting faults that can be represented by a layered system of viscoelastic bodies satisfying rate- and state-depending friction conditions along the common interfaces. We…

数值分析 · 数学 2022-01-17 Carsten Gräser , Ralf Kornhuber , Joscha Podlesny

Models of faults incorporating slip rate- and state-dependent friction have reproduced phenomena from spontaneous slow, aseismic slip to earthquake-generating dynamic rupture. Numerical explorations of model parameter space regularly show…

地球物理 · 物理学 2026-03-26 Robert C. Viesca , Dmitry I. Garagash

Despite extensive studies on either smooth granular-fluid flow or the solid-like deformation at the slow limit, the change between these two extremes remains largely unexplored. By systematically investigating the fluctuations of tightly…

软凝聚态物质 · 物理学 2021-03-31 Jih-Chiang , Tsai , Guan-Hao Huang , Cheng-En Tsai

We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding…

软凝聚态物质 · 物理学 2009-11-10 Efim A. Brener , S. V. Malinin , V. I. Marchenko

We develop an energy-landscape based elasto-plastic model to understand the behaviour of amorphous solids under uniform and cyclic shear. Amorphous solids are modeled as being composed of mesoscopic sub-volumes, each of which may occupy…

软凝聚态物质 · 物理学 2026-02-10 Pushkar Khandare , Srikanth Sastry

We examine a simple mechanism for the spatio-temporal evolution of transient, slow slip. We consider the problem of slip on a fault that lies within an elastic continuum and whose strength is proportional to sliding rate. This rate…

地球物理 · 物理学 2024-09-06 Robert C. Viesca , Pierre Dublanchet

We construct a mean-field elastoplastic description of the dynamics of amorphous solids under arbitrary time-dependent perturbations, building on the work of Lin and Wyart [Phys. Rev. X 6, 011005 (2016)] for steady shear. Local stresses are…

软凝聚态物质 · 物理学 2020-12-14 Jack T. Parley , Suzanne M. Fielding , Peter Sollich

Friction plays a fundamental role in many natural processes, including earthquakes, landslides, and volcanic eruptions. Earthquakes occur when highly compressed fault surfaces accumulate large enough shear stresses, causing the faults to…

材料科学 · 物理学 2026-02-16 Mary Agajanian , Nadia Lapusta , Anna Pandolfi , Michael Ortiz

During an earthquake, slip occurs in a localised shear zone that features a heavily granulated fault core that can be characterised as a shear band. We study the formation of this fault core in a granular rock such as sandstone by…

地球物理 · 物理学 2025-09-29 N. A. Collins-Craft , I. Stefanou , J. Sulem , I. Einav

Dense mixture of granules and liquid often shows a sever shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of…

软凝聚态物质 · 物理学 2015-06-03 Hiizu Nakanishi , Shin-ichiro Nagahiro , Namiko Mitarai

We perform molecular dynamics simulations of homogeneous athermal systems of poly-disperse soft discs under shear. For purely repulsive interactions between particles, and under a confining external pressure, a monotonous flow curve (strain…

软凝聚态物质 · 物理学 2023-10-10 E. A. Jagla

In this work, we analyse the stick-slip motion of a soft elastomeric block on a smooth, hard surface under the application of shear, which is induced by a puller moving at a steady velocity. The frictional stress is generated by make-break…

软凝聚态物质 · 物理学 2024-05-24 Vinay A. Juvekar , Arun K. Singh

We investigate the propagation of fluid-driven fault slip on a slip-weakening frictional interface separating two identical half-spaces of a three-dimensional elastic solid. Our focus is on axisymmetric circular shear ruptures as they…

软凝聚态物质 · 物理学 2023-09-12 Alexis Sáez , Brice Lecampion

We analyze the Rice-Ruina state and rate dependent friction model. The system consists of one or two blocks driven by springs with constant velocity on a dry, rough surface. Our discussion is limited to the creep-like motion, when the…

可精确求解与可积系统 · 物理学 2007-05-23 Jacek Szkutnik , Krzysztof Kulakowski

We establish existence of long-time solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate-and-state friction. The term rate-and-state friction is used here to refer to a set of…

偏微分方程分析 · 数学 2017-03-14 Elias Pipping

The way granular materials response to an applied shear stress is of the utmost relevance to both human activities and natural environment. One of the their most intriguing and less understood behavior, is the stick-instability, whose most…

软凝聚态物质 · 物理学 2018-11-07 Andrea Baldassarri , Mario A. Annunziata , Andrea Gnoli , Giorgio Pontuale , Alberto Petri

In this paper we study a rate-independent system for the propagation of damage and plasticity. To construct solutions we resort to approximation in terms of viscous evolutions, where viscosity affects both damage and plasticity with the…

偏微分方程分析 · 数学 2024-09-02 Vito Crismale , Giuliano Lazzaroni , Riccarda Rossi

Shear banding and stick-slip instabilities have been long observed in sheared granular materials. Yet, their microscopic underpinnings, interdependencies and variability under different loading conditions have not been fully explored. Here,…

地球物理 · 物理学 2017-02-08 Konik R. Kothari , Ahmed Elbanna

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

The unjamming transition of granular systems is investigated in a seismic fault model via three dimensional Molecular Dynamics simulations. A two--time force--force correlation function, and a susceptibility related to the system response…

软凝聚态物质 · 物理学 2015-03-13 M. Pica Ciamarra , E. Lippiello , C. Godano , L. de Arcangelis
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