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In this work, the well known power-law relation between strength and sample size, $d^{-n}$, is derived from the knowledge that a dislocation network exhibits scale-free behaviour and the extreme value statistical properties of an arbitrary…

Materials Science · Physics 2016-06-29 Peter M. Derlet , Robert Maass

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect…

Materials Science · Physics 2018-01-12 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

Surface roughness emerges naturally during mechanical removal of material, fracture, chemical deposition, plastic deformation, indentation, and other processes. Here, we use continuum simulations to show how roughness which is neither…

Soft Condensed Matter · Physics 2024-02-01 Lucas Frérot , Lars Pastewka

In this work we numerically investigate a new method for the characterization of growing length scales associated with spatially heterogeneous dynamics of glass-forming liquids. This approach, motivated by the formulation of the…

Disordered Systems and Neural Networks · Physics 2013-10-28 Kang Kim , Shinji Saito , Kunimasa Miyazaki , Giulio Biroli , David R. Reichman

Deep indentation of soft materials is ubiquitous across scales in nature and engineering, yet accurate predictions of contact behaviors under extreme deformations ($\delta/R > 1$) remain elusive due to geometric and material nonlinearities.…

Soft Condensed Matter · Physics 2026-03-10 Tong Mu , Changhong Linghu , Yanju Liu , Jinsong Leng , Huajian Gao , K. Jimmy Hsia

Velocity relaxation of a spherically symmetric polymer, immersed in a viscous incompressible fluid, and after a sudden small impulse or a sudden twist from a state of rest, is studied on the basis of the linearized Navier-Stokes equations…

Fluid Dynamics · Physics 2015-06-17 B. U. Felderhof

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski

A droplet that impacts onto a solid substrate deforms in a complex dynamics. To extract the principal mechanisms that dominate this dynamics we deploy numerical simulations based on the phase field method. Direct comparison with experiments…

Fluid Dynamics · Physics 2017-04-05 Yuli Wang , Gustav Amberg , Andreas Carlson

Small-scale mechanical behaviour shows significant departures from classical elastic-plastic theory. In a remarkable number of instances, the strength of a material appears to scale as the reciprocal square root of the smallest length…

Materials Science · Physics 2009-10-30 T. T. Zhu , B. Ehrler , X. D. Hou , A. J. Bushby , D. J. Dunstan

Analytical and numerical modelling of the nonlinear interaction of shear wave with a frictional interface is presented. The system studied is composed of two homogeneous and isotropic elastic solids, brought into frictional contact by…

Materials Science · Physics 2011-12-26 A. Meziane , A. N. Norris , A. L. Shuvalov

We numerically study the energy transfer in a multi-component $2d$ film, made of an active polar gel and a passive isotropic fluid in presence of surfactant favoring emulsification. We show that by confining the active behavior into the…

Soft Condensed Matter · Physics 2020-08-18 Livio Nicola Carenza , Luca Biferale , Giuseppe Gonnella

We study the asymptotic behaviour of the free, cold-dark matter density fluctuation bispectrum in the limit of small scales. From an initially Gaussian random field, we draw phase-space positions of test particles which then propagate along…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-17 Ricardo Waibel , Sara Konrad , Matthias Bartelmann

By reinforcing the interaction energy of the liquid with respect to the surface using total wetting boundary conditions, the response of liquids to mechanical shear stress is stronger and exhibits at sub-millimeter scale elastic properties.…

Soft Condensed Matter · Physics 2022-07-29 Eni Kume , Peter Dunne , Nicolas Martin , Patrick Baroni , Laurence Noirez

The coupling of electric fields to the mechanics of lipid membranes gives rise to intriguing electromechanical behavior, as, for example, evidenced by the deformation of lipid vesicles in external electric fields. Electromechanical effects…

Soft Condensed Matter · Physics 2025-02-25 Yannick A. D. Omar , Zachary G. Lipel , Kranthi K. Mandadapu

We derive the incremental equations for a hyperelastic solid that incorporate surface tension effect by assuming that the surface energy is a general function of the surface deformation gradient. The incremental equations take the same…

Soft Condensed Matter · Physics 2024-07-30 Xiang Yu , Yibin Fu

This paper presents a three-dimensional analytical study of the intrinsic free vibration of an elastic multilayered hollow sphere interacting with an exterior non-Newtonian fluid medium. The fluid is assumed to be characterized by a…

Soft Condensed Matter · Physics 2021-08-02 B. Wu , Y. Gan , E. Carrera3 , W. Q. Chen

The process of crumpling a sheet and compacting it into a ball is dependent on many parameters that are difficult to disentangle. We study the effect of plasticity on the crumpling process, and disentangle the effects of plasticity and…

Soft Condensed Matter · Physics 2016-02-02 Mehdi Habibi , Mokhtar Adda-Bedia , Daniel Bonn

We show that in the equilibrium phase of glass-forming hard-sphere fluids in three dimensions, the static length scales tentatively associated with the dynamical slowdown and the dynamical length characterizing spatial heterogeneities in…

Disordered Systems and Neural Networks · Physics 2013-04-16 Patrick Charbonneau , Gilles Tarjus

Forced advection of passive scalar by a smooth $d$-dimensional incompressible velocity in the presence of a linear damping is studied. Acting separately advection and dumping do not lead to an essential intermittency of the steady scalar…

chao-dyn · Physics 2016-08-31 Michael Chertkov

We study the short-time dynamics of a liquid ligament, held between two solid cylinders, when one is impulsively accelerated along its axis. A set of one-dimensional equations in the slender-slope approximation is used to describe the…

Fluid Dynamics · Physics 2015-06-11 Laurent Duchemin , Stéphane Le Dizès , Lionel Vincent , Emmanuel Villermaux