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Simple models for ruptures along a heterogeneous earthquake fault zone are studied, focussing on the interplay between the roles of disorder and dynamical effects. A class of models are found to operate naturally at a critical point whose…

Disordered Systems and Neural Networks · Physics 2009-10-30 Daniel S. Fisher , Karin Dahmen , Sharad Ramanathan , Yehuda Ben-Zion

Recent experiments (Le Bouil et al., Phys. Rev. Lett., 2014, 112, 246001) have analyzed the statistics of local deformation in a granular solid undergoing plastic deformation. Experiments report strongly anisotropic correlation between…

Soft Condensed Matter · Physics 2017-11-21 Kamran Karimi , Jean-Louis Barrat

The aim of this paper is to propose a 2D computational algorithm for modeling of the trigger and the propagation of shallow landslides caused by rainfall. We used a Molecular Dynamics (MD) inspired model, similar to discrete element method…

Geophysics · Physics 2015-06-11 Gianluca Martelloni , Franco Bagnoli , Emanuele Massaro

When hydrocarbon reservoirs are used as a CO2 storage facility, an accurate uncertainty analysis and risk assessment is essential. An integration of information from geological knowledge, geological modelling, well log data, and geophysical…

Geophysics · Physics 2021-09-02 Sarouyeh Khoshkholgh , Ivanka Orozova-Bekkevold , Klaus Mosegaard

An exact transformation method is introduced that reduces the governing equations of a continuum structure coupled to strong nonlinearities to a low dimensional equation with memory. The method is general and well suited to problems with…

Dynamical Systems · Mathematics 2014-03-05 Robert Szalai

A geometrical analysis of the stability of nuclei against deformations is presented. In particular, we use Catastrophe Theory to illustrate discontinuous changes in the behavior of nuclei with respect to deformations as one moves in the N -…

Nuclear Theory · Physics 2024-07-23 Samyak Jain , A. Bhagwat

An electro-chemo-mechanical phase-field formulation is developed to simulate pitting and stress corrosion in polycrystalline materials. The formulation incorporates dependencies of mechanical properties and corrosion potential on…

Computational Engineering, Finance, and Science · Computer Science 2024-04-01 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

Peridynamics provides a versatile tool for fracture modelling in materials where fracture pathways cannot be predicted beforehand, but must be envisaged as an emergent features of the deformation process. One class of materials where this…

Materials Science · Physics 2025-12-18 Shucheta Shegufta , Michael Zaiser

Many recent studies have tried to determine the influence of geometry of faults in earthquake mechanics. In this paper, we suggest a new interpretation of the effect of geometry on the stress on a fault. Starting from the representation…

Geophysics · Physics 2019-11-13 P. Romanet , D. Sato , R. Ando

In this work, we describe our contribution to the Purdue-SANDIA-LLNL \emph{Damage Mechanics Challenge}. The phase field fracture model is adopted to blindly estimate the failure characteristics of the challenge test, an unconventional…

Computational Engineering, Finance, and Science · Computer Science 2024-03-28 Y. Navidtehrani , R. Duddu , E. Martínez-Pañeda

This study explores the role that the microstructure plays in determining the macroscopic static response of porous elastic continua and exposes the occurrence of position-dependent nonlocal effects that are strictly correlated to the…

Materials Science · Physics 2022-09-30 Sansit Patnaik , Mehdi Jokar , Wei Ding , Fabio Semperlotti

We study in this paper stability estimates for the fault inverse problem. In this problem, faults are assumed to be planar open surfaces in a half space elastic medium with known Lam\'e coefficients. A traction free condition is imposed on…

Analysis of PDEs · Mathematics 2019-07-24 Faouzi Triki , Darko Volkov

The fracture resistance of structures is optimised using the level-set method. Fracture resistance is assumed to be related to the elastic energy released by a crack propagating in a normal direction from parts of the boundary which are in…

Materials Science · Physics 2007-05-23 V. J. Challis , A. P. Roberts , A. H. Wilkins

The mechanical response of elastic porous media confined within rigid geometries is central to a wide range of industrial, geological, and biomedical systems. However, current models for these problems typically overlook the role of wall…

Soft Condensed Matter · Physics 2026-03-12 Térence Desclaux , Callum Cuttle , Chris W. MacMinn , Olivier Liot

We show that the Coulomb drag effect exhibits saturation at small temperatures, when calculated to the third order in the interlayer interactions. The zero-temperature transresistance is inversely proportional to the third power of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Alex Levchenko , Alex Kamenev

We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form $f(x,t) = a \exp[iK(t)x]$. For the case of time-independent forcing a stability criterion for…

Pattern Formation and Solitons · Physics 2025-11-11 Franz G. Mertens , Niurka R. Quintero , I. V. Barashenkov , A. R. Bishop

The linear dispersion relation for collisionless kinetic tearing instabilities is calculated for a Harris equilibrium. In contrast to the conventional 2D geometry, which considers only modes at the center of the current sheet, modes can…

Plasma Physics · Physics 2018-03-14 Scott D. Baalrud , Amitava Bhattacharjee , William Daughton

A treatment of frictional Coulomb drag between two 2-dimensional electron layers in a strong perpendicular magnetic field, within the independent electron picture, is presented. Assuming fully resolved Landau levels, the linear response…

Condensed Matter · Physics 2009-10-30 M. C. Bonsager , K. Flensberg , B. Y-K. Hu , A. -P. Jauho

We investigate the effect of a density gradient on Chandrasekhar's dynamical friction formula based on the method of 2-body encounters in the local approximation. We apply these generalizations to the orbit evolution of satellite galaxies…

Astrophysics · Physics 2007-05-23 A. Just , J. Penarrubia

A double-folding method is used to calculate the nuclear and Coulomb interaction between two deformed nuclei with arbitrary orientations. A simplified Skryme-type interaction is adopted. The contributions of nuclear interaction and Coulomb…

Nuclear Theory · Physics 2009-11-11 Qingfeng Li , Wei Zuo , Wenfei Li , Nan Wang , Enguang Zhao , Junqing Li , W. Scheid