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We present 2-D, 3-D, and spherical mesh generators for the Finite Element Method (FEM) using triangular and tetrahedral elements. The mesh nodes are treated as if they were linked by virtual springs that obey Hooke's law. Given the desired…

计算几何 · 计算机科学 2017-11-20 J. M. Taramón , J. P. Morgan , C. Shi , J. Hasenclever

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

数值分析 · 数学 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao

A macroscopically nominal flat surface is rough at the nanoscale level and consists of nanoasperities. Therefore, the frictional properties of the macroscale-level rough surface are determined by the mechanical behaviors of nanoasperity…

介观与纳米尺度物理 · 物理学 2020-11-05 jianqiao Hu , Hengxu Song , Stefan Sandfeld , Xiaoming Liu , Yueguang Wei

Viscoelasticity and rate-dependent adhesion of soft matter lead to difficulties in modeling the 'relatively simple' problem of a rigid sphere in contact with a viscoelastic half-space. For this reason, approximations in describing surface…

软凝聚态物质 · 物理学 2021-12-08 Luciano Afferrante , Guido Violano

This paper revisits the fundamental equations for the solution of the frictionless unilateral normal contact problem between a rough rigid surface and a linear elastic half-plane using the boundary element method (BEM). After recasting the…

材料科学 · 物理学 2015-06-02 A. Bemporad , M. Paggi

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

量子气体 · 物理学 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

Simple models for spherical particles with a soft shell have been shown to self-assemble into numerous crystal phases and even quasicrystals. However, most of these models rely on a simple pairwise interaction, which is usually a valid…

软凝聚态物质 · 物理学 2020-09-03 Emanuele Boattini , Nina Bezem , Sudeep N. Punnathanam , Frank Smallenburg , Laura Filion

Surface roughness has a huge impact on many important phenomena. The most important property of rough surfaces is the surface roughness power spectrum C(q). We present surface roughness power spectra of many surfaces of practical…

材料科学 · 物理学 2007-05-23 B. N. J. Persson , O. Albohr , U. Tartaglino , A. I. Volokitin , E. Tosatti

We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition…

软凝聚态物质 · 物理学 2020-05-27 Harukuni Ikeda , Carolina Brito , Matthieu Wyart , Francesco Zamponi

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

核理论 · 物理学 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

We use the Discrete Element Method (DEM) to understand the underlying attenuation mechanism in granular media, with special applicability to the measurements of the so-called effective mass developed earlier. We consider that the particles…

地球物理 · 物理学 2016-03-29 Yanqing Hu , Hernan A. Makse , John J. Valenza , David L. Johnson

The unconventional thermal properties of jammed amorphous solids are directly related to their density of vibrational states. While the vibrational spectrum of jammed soft sphere solids has been fully described, the vibrational spectrum of…

软凝聚态物质 · 物理学 2020-07-01 Francesco Arceri , Eric I. Corwin

The free volume comprised between rough surfaces in contact governs the fluid/gas transport properties across networks of cracks and the leakage/percolation phenomena in seals. In this study, a fundamental insight into the evolution of the…

材料科学 · 物理学 2016-04-19 M. Paggi , Q. -C. He

In non-linear scales, the matter density distribution is not Gaussian. Consequently, the widely used two-point correlation function is not adequate anymore to capture the matter density field's entire behaviour. Among all statistics beyond…

宇宙学与河外天体物理 · 物理学 2022-04-20 Mohammad Ansari Fard , Zahra Baghkhani , Laya Ghodsi , Sina Taamoli , Farbod Hassani , Shant Baghram

We numerically investigate the effects of fiber aspect ratio, roughness, flexibility, and flow inertia on the rheology of concentrated suspensions. We perform direct numerical simulations modeling the fibers, suspended in an incompressible…

流体动力学 · 物理学 2025-01-23 Monsurul Khan , Rishabh V. More , Arash Alizad Banaei , Luca Brandt , Arezoo M. Ardekani

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a…

核理论 · 物理学 2015-08-17 Angela Mecca , Alessandro Lovato , Omar Benhar , Artur Polls

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can jam into a rigid, disordered state where they withstand finite shear stresses before yielding. Here we review the current understanding of the…

软凝聚态物质 · 物理学 2015-05-14 M van Hecke

We study frictionless and non-adhesive contact between elastic half-spaces with self-affine surfaces. Using a recently suggested corrective technique, we ensure an unprecedented accuracy in computation of the true contact area evolution…

软凝聚态物质 · 物理学 2017-08-04 Vladislav A. Yastrebov , Guillaume Anciaux , Jean-François Molinari

A mechanically-based structural optimization method is utilized to explore the phenomena of jamming for assemblies of frictionless Platonic solids. Systems of these regular convex polyhedra exhibit mechanically stable phases with density…

软凝聚态物质 · 物理学 2012-05-08 Kyle C. Smith , Meheboob Alam , Timothy S. Fisher

We have employed a numerical procedure to analyze the adhesive contact between a soft elastic layer and a rough rigid substrate. The solution of the problem is obtained by calculating the Green's function which links the pressure…

计算物理 · 物理学 2010-06-04 Giuseppe Carbone , Michele Scaraggi , Ugo Tartaglino