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The paper contains an extension of the Khristianovich-Geertsma-de Klerk (KGD) model to the case when the confining rock pressure, which closes a hydraulic fracture, varies in the direction of its propagation. The extension is impelled by…

流体动力学 · 物理学 2017-03-17 Igor Gladkov , Aleksandr Linkov

We introduce a perturbation expansion for athermal systems that allows an exact determination of displacement fields away from the crystalline state as a response to disorder. We show that the displacement fields in energy minimized…

软凝聚态物质 · 物理学 2021-09-29 Pappu Acharya , Debankur Das , Kabir Ramola

Crystallization of dense matter in neutron star crusts and white dwarf cores may be similar to epitaxial crystal growth in terrestrial laboratories. However in stellar crystals, the spacing between horizontal planes has to gradually…

太阳与恒星天体物理 · 物理学 2024-03-19 D. A. Baiko

We study the damage process of fiber bundles in a wedge-shape geometry which ensures a constant strain gradient. To obtain the wedge geometry we consider the three-point bending of a bar, which is modelled as two rigid blocks glued together…

无序系统与神经网络 · 物理学 2011-04-28 Ferenc Kun , Sandor Nagy

For sedimenting colloidal hard spheres, the propagation and broadening of the crystal-fluid interface is studied by Brownian dynamics computer simulations of an initially homogeneous sample. Two different types of interface broadenings are…

软凝聚态物质 · 物理学 2015-05-28 Elshad Allahyarov , Hartmut Löwen

We have recently developed some simple continuum models of static granular media which display "fragile" behaviour: they predict that the medium is unable to support certain types of infinitesimal load (which we call "incompatible" loads)…

材料科学 · 物理学 2009-10-31 M. E. Cates , J. P. Wittmer , J. -P. Bouchaud , P. Claudin

We present a mesoscopic approach to granular crystal dynamics, which comprises a three-dimensional finite-element model and a one-dimensional regularized contact model. The approach investigates the role of vibrational-energy trapping…

材料科学 · 物理学 2016-02-09 Marcial Gonzalez , Jinkyu Yang , Chiara Daraio , Michael Ortiz

Conforming materials to rigid substrates with Gaussian curvature --- positive for spheres and negative for saddles --- has proven a versatile tool to guide the self-assembly of defects such as scars, pleats, folds, blisters, and liquid…

软凝聚态物质 · 物理学 2017-10-03 Noah P. Mitchell , Vinzenz Koning , Vincenzo Vitelli , William T. M. Irvine

Materials deform elasto-plastically and fail under various loading conditions, typically quantified by the stress triaxiality, which is the ratio between the dilatational (hydrostatic) stress and the deviatoric (shear-like) one. We show…

软凝聚态物质 · 物理学 2026-03-23 Pawandeep Kaur , Noam Ottolenghi , Edan Lerner , David Richard , Eran Bouchbinder

Statistical models are essential to get a better understanding of the role of disorder in brittle disordered solids. Fiber bundle models play a special role as a paradigm, with a very good balance of simplicity and non-trivial effects. We…

无序系统与神经网络 · 物理学 2015-11-10 Sylvain Patinet , Damien Vandembroucq , Alex Hansen , Stéphane Roux

This work deals with the effect of the contact location distribution on the crushing of granular materials. At first, a simple drop weight experiment was designed in order to study the effect of the location of three contact edges on the…

软凝聚态物质 · 物理学 2018-10-01 Riccardo Artoni , Aurélien Neveu , Yannick Descantes , Patrick Richard

The relevant parameters at the microstructure scale that govern the macroscopic toughness of disordered brittle materials are investigated theoretically. We focus on planar crack propagation and describe the front evolution as the…

无序系统与神经网络 · 物理学 2014-02-25 Vincent Démery , Laurent Ponson , Alberto Rosso

We study theoretically the complex network of forces that is responsible for the static structure and properties of granular materials. We present detailed calculations for a model in which the fluctuations in the force distribution arise…

凝聚态物理 · 物理学 2009-10-28 S. N. Coppersmith , C. -h. Liu , S. Majumdar , O. Narayan , T. A. Witten

We report on experimentally observed shear stress fluctuations in both granular solid and fluid states, showing that they are non-Gaussian at low shear rates, reflecting the predominance of correlated structures (force chains) in the…

In this work we consider bubbles that can form spontaneously when a two-dimensional (2D) crystal is transferred to a substrate with gases or liquids trapped at the crystal-substrate interface. The underlying mechanics may be described by a…

软凝聚态物质 · 物理学 2022-07-06 Zhaohe Dai , Yifan Rao , Nanshu Lu

A large number (~10,000) of uniform stainless steel balls comprising less than one layer coverage on a vertically shaken plate provides a rich system for the study of excited granular media. Viewed from above, the horizontal motion in the…

软凝聚态物质 · 物理学 2007-05-23 J. S. Urbach , J. S. Olafsen

We present a systematic study of the effect of crack blunting on subsequent crack propagation and dislocation emission. We show that the stress intensity factor required to propagate the crack is increased as the crack is blunted by up to…

mtrl-th · 物理学 2009-10-30 J. Schiøtz , L. M. Canel , A. E. Carlsson

Stacking fault energy dictates phase stability and deformation behavior in Co alloys and WC-Co cemented carbides, yet a quantitative assessment of alloying effects at finite temperatures remains poorly established. By integrating…

A partial monolayer of ~ 20000 uniform spherical steel beads, vibrated vertically on a flat plate, shows remarkable ordering transitions and cooperative behavior just below 1g maximum acceleration. We study the stability of a quiescent…

软凝聚态物质 · 物理学 2009-10-31 W. Losert , D. G. W. Cooper , J. P. Gollub

Force chains form heterogeneous physical structures that can constrain the mechanical stability and acoustic transmission of granular media. However, despite their relevance for predicting bulk properties of materials, there is no agreement…

软凝聚态物质 · 物理学 2015-04-24 Danielle S. Bassett , Eli T. Owens , Mason A. Porter , M. Lisa Manning , Karen E. Daniels