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Tidal stress is a globally acting perturbation driven primarily by the gravitational forcing of the Moon and the Sun. Understanding how tidal stresses can trigger seismic events is essential for constraining tectonic environments that are…

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…

Numerical Analysis · Mathematics 2022-01-17 Carsten Gräser , Ralf Kornhuber , Joscha Podlesny

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…

Soft Condensed Matter · Physics 2015-03-13 M. Pica Ciamarra , E. Lippiello , C. Godano , L. de Arcangelis

Accurate information on waves and storm surges is essential to understand coastal hazards that are expected to increase in view of global warming and rising sea levels. Despite the recent advancement in development and application of…

In Geosciences a class of phenomena that is widely studied given its real impact on human life are the tectonic faults slip. These landslides have different ways to manifest, ranging from aseismic events of slow displacement (slow slips) to…

Geophysics · Physics 2023-04-18 José Augusto Proença Maia Devienne

The discrete element method constitutes a general class of modeling techniques to simulate the microscopic behavior (i.e. at the particle scale) of granular/soil materials. We present a contact dynamics method, accounting for the cohesive…

Soft Condensed Matter · Physics 2011-07-18 Dirk Kadau , Jose S. Andrade , Hans J. Herrmann

Important physical observations in rupture dynamics such as static fault friction, short-slip, self-healing, and supershear phenomenon in cracks are studied. A continuum model of rupture dynamics is developed using the field dislocation…

Materials Science · Physics 2023-12-18 Abhishek Arora , Amit Acharya

Fluid dynamical simulations are often performed using cheap macroscopic models like the Euler equations. For rarefied gases under near-equilibrium conditions, however, macroscopic models are not sufficiently accurate and a simulation using…

Numerical Analysis · Mathematics 2023-05-31 Julian Koellermeier , Hannes Vandecasteele

We present a new particle-based (discrete element) numerical method for the simulation of granular dynamics, with application to motions of particles on small solar system body and planetary surfaces. The method employs the parallel N-body…

Earth and Planetary Astrophysics · Physics 2013-06-12 Derek C. Richardson , Kevin J. Walsh , Naomi Murdoch , Patrick Michel

The lack of a comprehensive decision-making approach at the community level is an important problem that warrants immediate attention. Network-level decision-making algorithms need to solve large-scale optimization problems that pose…

Optimization and Control · Mathematics 2018-10-02 Saeed Nozhati , Yugandhar Sarkale , Bruce Ellingwood , Edwin K. P. Chong , Hussam Mahmoud

A model for fault dynamics consisting of two rough and rigid brownian profiles that slide one over the other is introduced. An earthquake occurs when there is an intersection between the two profiles. The energy release is proportional to…

Condensed Matter · Physics 2019-08-17 V. De Rubeis , R. Hallgass , V. Loreto , G. Paladin , L. Pietronero , P. Tosi

In this work, we study the accuracy and efficiency of hierarchical matrix ($\mathcal{H}$-matrix) based fast methods for solving dense linear systems arising from the discretization of the 3D elastodynamic Green's tensors. It is well known…

Numerical Analysis · Mathematics 2017-10-25 Stéphanie Chaillat , Luca Desiderio , Patrick Ciarlet

The safety and resilience of civil infrastructure systems are increasingly threatened by compounded risks from various hazard events and structural deterioration due to environmental stressors. This study presents a comprehensive…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Sudhir P. Jodha , Konstantinos G. Papakonstantinou

In this paper, we study the robustness of safety properties of a linear dynamical system with respect to model uncertainties. Our paper involves three parts. In the first part, we provide symbolic (analytical) and numerical (representation…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

In this paper we develop a simple finite element method for simulation of embedded layers of high permeability in a matrix of lower permeability using a basic model of Darcy flow in embedded cracks. The cracks are allowed to cut through the…

Numerical Analysis · Mathematics 2017-09-05 Erik Burman , Peter Hansbo , Mats G. Larson

We present realistic 3D numerical simulations of elastic bodies sliding on top of each other in a regime of velocities ranging from meters to tens of meters per second using the so-called Smoothed Particle Hydrodynamics (SPH) method. Our…

Statistical Mechanics · Physics 2015-06-25 C. Maveyraud , W. Benz , G. Ouillon , A. Sornette , D. Sornette

Using error diagrams, we quantify the forecasting of characteristic-earthquake occurrence in a recently introduced minimalist model. Initially we connect the earthquake alarm at a fixed time after the ocurrence of a characteristic event.…

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

Computational Engineering, Finance, and Science · Computer Science 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

Scroll-wave instabilities in excitable domains are central to life-threatening arrhythmias, yet practical methods to stabilize these dynamics remain limited. Here, we investigate the effects of boundary layer heterogeneities in the…

Biological Physics · Physics 2025-12-02 Sebastian Echeverria-Alar , Wouter-Jan Rappel

Data-driven machine-learning for predicting instantaneous and future fault-slip in laboratory experiments has recently progressed markedly due to large training data sets. In Earth however, earthquake interevent times range from 10's-100's…

Geophysics · Physics 2022-01-19 Kun Wang , Christopher W. Johnson , Kane C. Bennett , Paul A. Johnson