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Processes of coalescence and fragmentation are used to understand the time-evolution of the mass distribution of various systems and may result in a steady state or in stable deterministic or stochastic cycles. Motivated by applications in…

Other Condensed Matter · Physics 2023-10-09 Brennen T. Fagan , Niall J. MacKay , A. Jamie Wood

With a novel 3D discrete-element method specially developed with adhesive contact mechanics, random loose packings of uniform spherical micron-sized particles are fully investigated. The results show that large velocity, large size or weak…

Soft Condensed Matter · Physics 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen

The seminal paper of Francfort and Marigo [FM] introduced a variational formulation for Griffith fracture that has resulted in substantial theoretical and practical progress in modeling and simulating fracture. In particular, it led to the…

Analysis of PDEs · Mathematics 2024-02-14 Christopher J. Larsen

Complex phenomena incorporating several physical properties are abundant while they are occasionally revealing the variation of power-law behavior depending on the scale. In this present work, the global scaling-behavior of dynamical impact…

Soft Condensed Matter · Physics 2019-11-27 Hirokazu Maruoka

Recent theoretical progress using multiscale asymptotic analysis has revealed various possible regimes of stratified turbulence. Notably, buoyancy transport can either be dominated by advection or diffusion, depending on the effective…

Fluid Dynamics · Physics 2024-11-20 Pascale Garaud , Greg P. Chini , Laura Cope , Kasturi Shah , Colm-cille P. Caulfield

The quasistatic rate-independent damage combined with linearized plasticity with hardening at small strains is investigated. The fractional-step time discretisation is devised with the purpose to obtain a numerically efficient scheme…

Numerical Analysis · Mathematics 2015-06-05 Tomáš Roubíček , Jan Valdman

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

Frictional interfaces exhibits a very rich dynamical behavior due to frictional interactions. This work focuses on the transition between spatially localized and propagating stick-slip motion. To overcome the difficulties related to the…

Pattern Formation and Solitons · Physics 2020-01-08 I. B. Shiroky , A. Papangelo , N. Hoffmann , O. V. Gendelman

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

Soft Condensed Matter · Physics 2019-01-15 Tapas Singha , Mustansir Barma

This study aims to unravel the micro-mechanical underpinnings of the emergence of the fractocohesive length scale as a central concept in modern fracture mechanics. A thermodynamically consistent damage and fracture model for elastomers is…

Soft Condensed Matter · Physics 2025-09-03 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

The onset of frictional motion is mediated by rupture-like slip fronts, which nucleate locally and propagate eventually along the entire interface causing global sliding. The static friction coefficient is a macroscopic measure of the…

Soft Condensed Matter · Physics 2021-02-03 Gabriele Albertini , Simon Karrer , Mircea D. Grigoriu , David S. Kammer

Experiments on fracture surface morphologies offer increasing amounts of data that can be analyzed using methods of statistical physics. One finds scaling exponents associated with correlation and structure functions, indicating a rich…

Materials Science · Physics 2009-11-11 Eran Bouchbinder , Itamar Procaccia , Shani Sela

We investigate dynamical scaling properties of the 1D tight-binding Anderson model with a weak diagonal disorder, by means of the spreading of a wave packet. In the absence of disorder, and more generally in the ballistic regime, the…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. De Toro Arias , J. M. Luck

Plastic deformation in microscale differs from the macroscopic plasticity in two respects: (i) the flow stress of small samples depends on their size (ii) the scatter of plasticity increases significantly. In this work we focus on the…

Materials Science · Physics 2015-03-10 Olga Kapetanou , Vasilis Koutsos , Efstathios Theotokoglou , Daniel Weygand , Michael Zaiser

In this letter we address the fragmentation of thin, brittle layers due to the impact of high-velocity projectiles. Our approach is a geometric statistical one, with lines and circles playing the role of cracks, randomly distributed over…

Soft Condensed Matter · Physics 2014-09-30 Rebeca C. Falcão , Fernando Parisio

We examine the effect of small, spatially localized, excitations applied periodically in different manners, on the crackling dynamics of a brittle crack driven slowly in a heterogeneous solid. When properly adjusted, these excitations are…

Statistical Mechanics · Physics 2021-05-19 Jonathan Barés , Daniel Bonamy

In two dimensional isotropic scale invariant theories, the time scaling of the entanglement entropy of a segment is fixed via the conformal symmetry. We consider scale invariance in a more general sense and show that in integrable theories…

High Energy Physics - Theory · Physics 2021-06-29 M. Reza Mohammadi Mozaffar , Ali Mollabashi

We study the influence of an aperiodic extended surface perturbation on the surface critical behaviour of the two-dimensional Ising model in the extreme anisotropic limit. The perturbation decays as a power of the distance from the free…

Statistical Mechanics · Physics 2009-10-31 L. Turban

Many natural systems show emergent phenomena at different scales, leading to scaling regimes with signatures of chaos at large scales and an apparently random behavior at small scales. These features are usually investigated quantitatively…

We argue that nucleation of brittle cracks in initially flawless soft elastic solids is preceded by a nonlinear elastic instability, which cannot be captured without accounting for geometrical precise description of finite elastic…

Soft Condensed Matter · Physics 2024-06-17 D. Riccobelli , P. Ciarletta , G. Vitale , C. Maurini , L. Truskinovsky
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