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We examine the atomistic scale dependence of material's resistance-to-failure by numerical simulations and analytical analysis in electrical analogs of brittle crystals. We show that fracture toughness depends on the lattice geometry in a…

材料科学 · 物理学 2020-07-16 Thuy Nguyen , Daniel Bonamy

The dynamics of a crack propagating in an elastic inhomogeneous material is investigated. The variations of the average crack velocity with the external loading are measured for a brittle rock and are shown to display two distinct regimes:…

统计力学 · 物理学 2008-12-18 Laurent Ponson

We study Mode I fracture in a viscoelastic lattice model with a nonlinear force law, with a focus on the velocity and linear stability of the steady-state propagating solution. This study is a continuation both of the study of the…

材料科学 · 物理学 2009-11-07 Shay I. Heizler , David A. Kessler , Herbert Levine

The importance of surface tension effects is being recognized in the context of soft composite solids, where it is found to significantly affect the mechanical properties, such as the elastic response to an external stress. It has recently…

软凝聚态物质 · 物理学 2017-02-07 Francesco Mancarella , John S. Wettlaufer

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

经典物理 · 物理学 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

Based on spatial-temporal resolved measurements of the stress field at crack tip based on polarized optical microscopy (str-POM), the stress analysis approach to elastomeric fracture uncovers new insights. We show new phenomenology in…

软凝聚态物质 · 物理学 2022-12-02 Zehao Fan , Shi-Qing Wang

Crack initiation and propagation are fundamental problems in materials science, often leading to catastrophic failure. While fracture in elastic solids occurs instantaneously above a critical load, viscoelastic materials may sustain high…

软凝聚态物质 · 物理学 2026-05-14 Giuseppe Carbonea , Cosimo Mandriotab , Guido Violanob , Luciano Afferrante , Nicola Menga

The interaction of anisotropic point defects in anisotropic media is studied in the framework of anisotropic elasticity with eigendistortion. For this purpose key-equations and their solutions for anisotropic point defects in an anisotropic…

材料科学 · 物理学 2017-03-16 Markus Lazar

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

统计力学 · 物理学 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

We analyse high resolution slip rate data obtained during dynamic shear rupture experiments by Berman et al. (2020). We use an inverse method to extract the details of strength evolution within the cohesive zone. The overall behaviour is…

地球物理 · 物理学 2025-04-02 Nicolas Brantut

We present an energy-preserving mechanic formulation for dynamic quasi-brittle fracture in an Eulerian-Lagrangian formulation, where a second-order phase-field equation controls the damage evolution. The numerical formulation adapts in…

数学物理 · 物理学 2022-02-23 Nicolas A. Labanda , Luis Espath , Victor Manuel Calo

We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in…

应用物理 · 物理学 2022-11-22 Francesco Vicentini , Pietro Carrara , Laura De Lorenzis

The method of stress-function in elasticity theory is a powerful analytical tool with applications to a wide range of physical systems, including defective crystals, fluctuating membranes, and more. A complex coordinates formulation of…

材料科学 · 物理学 2023-05-10 Oran Szachter , Eytan Katzav , Mokhtar Adda-Bedia , Michael Moshe

To model rupture dynamics, a friction law must be assumed. Commonly used constitutive laws for modeling friction include slip-weakening laws which are characterized by a drop from static to dynamic frictional stress. Within this framework,…

地球物理 · 物理学 2024-07-22 Roxane Ferry , Jean-François Molinari

Disordered networks of fragile elastic elements have been proposed as a model of inner porous regions of large bones [Gunaratne et.al., cond-mat/0009221, http://xyz.lanl.gov]. It is shown that the ratio $\Gamma$ of responses of such a…

软凝聚态物质 · 物理学 2013-05-29 Gemunu H. Gunaratne

The effect of geometrical shape of eroding absolutely rigid particles on the threshold rate of failure has been studied. The Shtaerman-Kilchevsky theory of quasi-static blunt impact, which generalizes Hertz's classical impact theory, is…

经典物理 · 物理学 2015-06-04 I. I. Argatov , G. S. Mishuris , Yu. V. Petrov

Pulse-like ruptures arise spontaneously in many elastodynamic rupture simulations and seem to be the dominant rupture mode along crustal faults. Pulse-like ruptures propagating under steady-state conditions can be efficiently analysed…

地球物理 · 物理学 2019-08-07 Nicolas Brantut , Dmitry I. Garagash , Hiroyuki Noda

We consider the effect of differing coefficients of static and dynamic friction coefficients on the behaviour of contacts involving microslip. The classic solutions of Cattaneo and Mindlin are unchanged if the transition in coefficients is…

软凝聚态物质 · 物理学 2016-02-17 A. Papangelo , M. Ciavarella , J. R. Barber

The accurate measurement of fracture resistance in elastomers is essential for predicting the mechanical limits of soft devices. Usually, this is achieved by performing tearing or peeling experiments on thin-sheet samples. Here, we show…

软凝聚态物质 · 物理学 2023-06-12 Nan Xue , Rong Long , Eric R. Dufresne , Robert W. Style

This paper aims to investigate the dynamic response of a material body undergoing fracture subjected to high strain rate loading conditions such as impact or explosion. In particular, our focus is limited to softening elastic damage models…

计算工程、金融与科学 · 计算机科学 2026-01-27 Rajasekar Gopalsamy , Nicolas Chevaugeon
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