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Related papers: The delayed fracture test for viscoelastic elastom…

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The fractocohesive length - the ratio between fracture toughness and work-to-fracture - provides a material-specific length scale that characterizes the size-dependent fracture behavior of pristine elastomers. However, its relevance to…

Soft Condensed Matter · Physics 2025-12-04 Aimane Najmeddine , Santiago Marin , Zhen Xu , Connor Thompson , Guoliang Liu , Maryam Shakiba

We previously observed that an intrinsic staking fault shrunk through a glide of a Shockley partial dislocation terminating its lower end in a hard-sphere crystal under gravity coherently grown in <001> by Monte Carlo simulations [Mori et…

Soft Condensed Matter · Physics 2013-05-09 Atsushi Mori , Yoshihisa Suzuki

Using a two dimensional lattice model we investigate the crack growth under the influence of remote tensile forces as well as due to an internally applied pressure (hydraulic fracturing). For homogeneous elastic properties we present…

Condensed Matter · Physics 2008-12-18 Frank Tzschichholz

Pull-in (or electro-mechanical) instability occurs when a drastic decrease in the thickness of a dielectric elastomer results in electrical breakdown, which limits the applications of dielectric devices. Here we derive the criteria for…

Soft Condensed Matter · Physics 2020-09-04 Yipin Su , Weiqiu Chen , Michel Destrade

The Brazilian test has been extremely popular while prompting significant debate. The main source of controversy is rooted in its indirect nature; the material tensile strength is inferred upon assuming that cracking initiates at the centre…

Geophysics · Physics 2022-09-15 Y. Navidtehrani , C. Betegón , R. W. Zimmerman , E. Martínez-Pañeda

Recently the scaling laws describing the roughness development of fracture surfaces was proposed to be related to the macroscopic elastic energy released during crack propagation [Mor00]. On this basis, an energy-based asymptotic analysis…

Materials Science · Physics 2009-11-07 S. Morel , E. Bouchaud , G. Valentin

The phase-field approach to fracture has been proven to be a mathematically sound and easy to implement method for computing crack propagation with arbitrary crack paths. Hereby crack growth is driven by energy minimization resulting in a…

Numerical Analysis · Mathematics 2019-06-26 Carola Bilgen , Kerstin Weinberg

Linear Elastic Fracture Mechanics (LEFM) provides a consistent framework to evaluate quantitatively the energy flux released to the tip of a growing crack. Still, the way in which the crack selects its velocity in response to this energy…

Materials Science · Physics 2016-02-26 Davy Dalmas , Claudia Guerra , Julien Scheibert , Daniel Bonamy

The increasing use of polymer composites in industry asks for the creation of better, faster and cost-effective methods to detect the damage state of such materials. This work presents the investigation of the phase decay , $\Delta{\Phi}$,…

Applied Physics · Physics 2024-04-24 Matias Lasen , Dario Di Maio , Damaso De Bono , Michelle Peluzzo

Earthquakes are complex phenomena characterized by some fundamental seismic laws. However, under the framework of brittle fracture in disordered material, these universal scaling behaviors, especially for critical exponents, are still far…

Geophysics · Physics 2018-07-10 Hao Lin , HaiYing Wang , Chunsheng Luc , LanHong Dai

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…

Materials Science · Physics 2009-11-07 Shay I. Heizler , David A. Kessler , Herbert Levine

Using an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a crack tip in a 2D heterogeneous brittle material. The model…

Materials Science · Physics 2007-05-23 E. Katzav , M. Adda-Bedia , B. Derrida

While determining the stability of an unconstrained elastic structure is a straightforward task, this is not the case for viscoelastic structures. Seemingly elastically stable conformations of viscoelastic structures may gradually creep…

Soft Condensed Matter · Physics 2017-11-28 Erez Y. Urbach , Efi Efrati

In this work, a combined modelling approach for crack propagation in defective graphene is presented. Molecular dynamics (MD) simulations are used to obtain material parameters (Young's modulus and Poisson ratio) and to determine the energy…

We propose a variational phase-field model of fracture capable of accounting for arbitrary closed convex strength domains. Unlike traditional models based on Ambrosio and Tortorelli regularization, the phase-field variable does not affect…

Applied Physics · Physics 2025-07-01 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Camilla Zolesi

Friction is fundamental to mechanical stability across scales, from geological faults and architectural structures to granular materials and animal feet. We study the mechanical stability of a minimal friction-stabilized structure composed…

Soft Condensed Matter · Physics 2025-11-11 Ryudo Suzuki , Takashi Matsushima , Tetsuo Yamaguchi , Marie Tani , Shin-ichi Sasa

The breaking rate of an atomic chain stretched at zero temperature by a constant force can be calculated in a quasiclassical approximation by finding the localized solutions ("bounces") of the equations of classical dynamics in imaginary…

Statistical Mechanics · Physics 2009-10-31 Eugene B. Kolomeisky , Joseph P. Straley

Despite numerous experimental and theoretical investigations of the mechanical behavior of high-capacity Si and Ge Li-ion battery anodes, our basic understanding of swelling-driven fracture in these materials remains limited. Existing…

Applied Physics · Physics 2020-05-18 Ataollah Mesgarnejad , Alain Karma

The phase field paradigm, in combination with a suitable variational structure, has opened a path for using Griffith's energy balance to predict the fracture of solids. These so-called phase field fracture methods have gained significant…

Computational Engineering, Finance, and Science · Computer Science 2022-03-08 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

Polymer composite materials are widely used for their exceptional mechanical properties, notably their ability to resist large deformations. Here we examine the failure stress and strain of rubbers reinforced by varying amounts of…

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