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Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between rate-dependent stiffness, dissipative mechanisms present in the bulk material and…

Materials Science · Physics 2023-11-27 Franz Dammaß , Karl A. Kalina , Marreddy Ambati , Markus Kästner

Motivated by the inadequacy of conducting atomistic simulations of crack propagation using static boundary conditions that do not reflect the movement of the crack tip, we extend Sinclair's flexible boundary condition algorithm [Philos.…

Computational Physics · Physics 2021-03-10 Maciej Buze , James R. Kermode

Different scenarios of the fluctuation-induced disordering of the striped phase which is formed at low temperatures in the triangular-lattice Ising model with the antiferromagnetic interaction of nearest and next-to-nearest neighbors are…

Statistical Mechanics · Physics 2009-11-11 S. E. Korshunov

Stochastic models for the development of cracks in 1 and 2 dimensional objects are presented. In one dimension, we focus on particular scenarios for interacting and non-interacting fragments during the breakup process. For two dimensional…

Statistical Mechanics · Physics 2009-11-11 F. P. M. dos Santos , R. Donangelo , S. R. Souza

We develop a parameter-free model for the fragmentation of drops colliding off-center. The prediction is excellent over a wide range of liquid properties. The so-called stretching separation is attributed to the extension of the merged drop…

Fluid Dynamics · Physics 2023-06-22 David Baumgartner , Günter Brenn , Carole Planchette

The compressive yield stress of particle gels shows a highly nonlinear dependence on the packing fraction. We have studied continuous compression processes, and discussed the packing fraction dependence with the particle scale…

Soft Condensed Matter · Physics 2013-11-22 Ryohei Seto , Robert Botet , Martine Meireles , Günter K. Auernhammer , Bernard Cabane

We examine theoretically and numerically fast propagation of a tensile crack along unidimensional strips with periodically evolving toughness. In such dynamic fracture regimes, crack front waves form and transport front disturbances along…

Statistical Mechanics · Physics 2021-02-23 Alizée Dubois , Daniel Bonamy

Recently, simple non-singular stress fields of cracks of mode I and mode III have been published by Aifantis (2009,2012), Isaksson and H\"agglund (2013) and Isaksson et al. (2012). In this work we investigate the physical meaning and…

Materials Science · Physics 2015-04-03 Markus Lazar , Demosthenes Polyzos

Phase-field models are a leading approach for realistic fracture problems. They treat the crack as a second phase and use gradient terms to smear out the crack faces, enabling the use of standard numerical methods for simulations. This…

Analysis of PDEs · Mathematics 2022-07-01 Maryam Hakimzadeh , Vaibhav Agrawal , Kaushik Dayal , Carlos Mora-Corral

A phase field crystal model is used to investigate the mechanisms of formation and growth of early clusters in quenched/aged dilute binary alloys, a phenomenon typically outside the scope of molecular dynamics time scales. We show that…

Materials Science · Physics 2012-10-05 Vahid Fallah , Jonathan Stolle , Nana Ofori-Opoku , Shahrzad Esmaeili , Nikolas Provatas

We present the first realistic 3D simulations of flame front instabilities during type I X-ray bursts. The unperturbed front is characterised by the balance between the pressure gradient and the Coriolis force of a spinning neutron star…

High Energy Astrophysical Phenomena · Physics 2019-09-25 Yuri Cavecchi , Anatoly Spitkovsky

The modeling of crack propagation in a heterogeneous material using a phase field model is studied numerically in a simple test case: the crack meets a wedge of higher fracture energy. It is shown that when the crack cannot enter the wedge,…

Materials Science · Physics 2021-08-24 Hervé Henry

Experiments on the diffusion-limited corrosion of porous copper clusters in thin gap cells containing cupric chloride are reported. By carefully comparing corrosion front velocities and concentration profiles obtained by phase-shift…

Chemical Physics · Physics 2007-05-23 C. Leger , F. Argoul , M. Z. Bazant

A dynamic crack will travel in a straight path up to a material-dependent critical speed beyond which its path becomes erratic. Predicting this critical speed and discovering the origin of this instability are two outstanding problems in…

Materials Science · Physics 2015-06-25 Farid F. Abraham

Phase-separation fronts leave in their wakes morphologies that are substantially different from the morphologies formed in homogeneous phase-separation. In this paper we focus on fronts in binary mixtures that are enslaved phase-separation…

Soft Condensed Matter · Physics 2013-05-29 E. M. Foard , A. J. Wagner

A phase-separation front will leave in its wake a phase-separated morphology that differs markedly from homogeneous phase-separation morphologies. For a purely diffusive system such a front, moving with constant velocity, will generate very…

Soft Condensed Matter · Physics 2013-05-30 E. M. Foard , A. J. Wagner

An assessment is made of the J-integral test procedure for initial crack growth in an open-cell aluminium alloy foam by combining finite element (FE) simulations with experiment. It is found experimentally that a zone of randomly failed…

Materials Science · Physics 2020-05-12 H. C. Tankasala , T. Li , P. E. Seiler , V. S. Deshpande , N. A. Fleck

We study analytically the development of gravitational instability in an expanding shell having finite thickness. We consider three models for the radial density profile of the shell: (i) an analytic uniform-density model, (ii) a…

Astrophysics of Galaxies · Physics 2015-05-19 Richard Wunsch , James E. Dale , Jan Palous , Anthony P. Whitworth

The aim of this work is to study the dynamics and stability of soft shape-morphing configurations and specifically the modes of interaction between the front and rear airfoil segments. Initially we present several steady-state solutions,…

Fluid Dynamics · Physics 2018-05-08 Netanel Hassan , Shai B. Elbaz , Amir D. Gat

We show that the roughness exponent zeta of an in-plane crack front slowly propagating along a heterogeneous interface embeded in a elastic body, is in full agreement with a correlated percolation problem in a linear gradient. We obtain…

Condensed Matter · Physics 2009-11-07 Jean Schmittbuhl , Alex Hansen , G. George Batrouni