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We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler-Bernoulli beams. A fault inside the structure is assumed…

应用物理 · 物理学 2019-05-15 M. Garau , M. J. Nieves , I. S. Jones

As a consequence of shearing, wing cracks can emerge from pre-existing fractures. The process involves the interaction of sliding of the existing fracture surfaces and the tensile material failure that creates wing cracks. This work devises…

数值分析 · 数学 2020-09-11 Hau Dang-Trung , Eirik Keilegavlen , Inga Berre

Magma-driven fractures are the main mechanism for magma emplacement in the crust. A fundamental question is how the released fluid controls the propagation dynamics and fracture geometry (depth and breadth) in three dimensions. Analog…

地球物理 · 物理学 2022-09-01 Dmitry I. Garagash , Leonid N. Germanovich

We study the high-velocity regime mode-I fracture instability when small microbranches start to appear near the main crack, using large scale simulations. Some of the features of those microbranches have been reproduced qualitatively in…

统计力学 · 物理学 2015-07-13 Shay I. Heizler , David A. Kessler

The dynamics of frictional interfaces play an important role in many physical systems spanning a broad range of scales. It is well-known that frictional interfaces separating two dissimilar materials couple interfacial slip and normal…

The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

We perform real-time measurements of the net contact area between two blocks of like material at the onset of frictional slip. We show that the process of interface detachment, which immediately precedes the inception of frictional sliding,…

材料科学 · 物理学 2007-05-23 Shmuel M. Rubinstein , Meni Shay , Gil Cohen , Jay Fineberg

We study the steady-state motion of mode III cracks propagating on a lattice exhibiting viscoelastic dynamics. The introduction of a Kelvin viscosity $\eta$ allows for a direct comparison between lattice results and continuum treatments.…

软凝聚态物质 · 物理学 2009-10-31 David A. Kessler , Herbert Levine

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

计算工程、金融与科学 · 计算机科学 2020-10-15 Stella Brach

The method of iterated conformal maps is developed for quasi-static fracture of brittle materials, for all modes of fracture. Previous theory, that was relevant for mode III only, is extended here to mode I and II. The latter require…

统计力学 · 物理学 2009-11-07 Felipe Barra , Anders Levermann , Itamar Procaccia

A liquid droplet resting on a soft gel substrate can deform that substrate to the point of material failure, whereby fractures develop on the gel surface that propagate outwards from the contact-line in a starburst pattern. In this paper,…

软凝聚态物质 · 物理学 2015-06-17 Joshua B. Bostwick , Karen E. Daniels

We investigate the fracture behavior of pre-cracked triangular beam-lattices whose elements have failure stresses drawn from a Weibull distribution. Through a statistical analysis and numerical simulations, we identify and verify the…

In this work we propose a novel relationship between topology and damage propagation in Maxwell lattices that redefines fracture as a functional design feature rather than mere degradation. We demonstrate that topologically protected modes,…

软凝聚态物质 · 物理学 2025-03-31 Leo de Waal , Matthaios Chouzouris , Marcelo A. Dias

A variational discrete element method is applied to simulate quasi-static crack propagation. Cracks are considered to propagate between the mesh cells through the mesh facets. The elastic behaviour is parametrized by the continuous…

数值分析 · 数学 2022-02-18 Frédéric Marazzato , Alexandre Ern , Laurent Monasse

We consider diffusion of vibrations in 3d harmonic lattices with strong force-constant disorder. Above some frequency w_IR, corresponding to the Ioffe-Regel crossover, notion of phonons becomes ill defined. They cannot propagate through the…

无序系统与神经网络 · 物理学 2013-04-17 Y. M. Beltukov , V. I. Kozub , D. A. Parshin

At present, there is an abundance of results showing that the phase-field approach to fracture in elastic brittle materials -- when properly accounting for material strength -- describes the \emph{nucleation} of fracture from large…

软凝聚态物质 · 物理学 2025-05-12 F. Kamarei , E. Breedlove , O. Lopez-Pamies

High-strain-rate shear tests were conducted on a three-layered bonded test piece comprising a central aluminum layer with PMMA resin layers bonded on both sides. Upon calculating the displacement field and the strain field using digital…

材料科学 · 物理学 2021-08-18 Tomohisa Kojima , Yuta Kimura , Shuichi Arikawa , Mitsuo Notomi

We present a stochastic modeling framework for atomistic propagation of a Mode I surface crack, with atoms interacting according to the Lennard-Jones interatomic potential at zero temperature. Specifically, we invoke the Cauchy-Born rule…

材料科学 · 物理学 2021-05-03 Maciej Buze , Thomas E. Woolley , L. Angela Mihai

We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions.…

应用物理 · 物理学 2019-03-27 Rudy J. M. Geelen , Yingjie Liu , Tianchen Hu , Michael R. Tupek , John E. Dolbow

The dynamics of a single crack moving through a heterogeneous medium is studied in the quasi-static approximation. Equations of motion for the crack front are formulated and the resulting scaling behaviour analyzed. In a model scalar system…

无序系统与神经网络 · 物理学 2009-10-28 Sharad Ramanathan , Deniz Ertaş , Daniel S. Fisher