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Recent studies show interest in materials with asymmetric friction forces. We investigate terminal motion of a solid body with circular contact area. We assume that friction forces are asymmetric orthotropic. Two cases of pressure…

Soft Condensed Matter · Physics 2018-02-21 O. A. Silantyeva , N. N. Dmitriev

A novel implementation of the traditional node-to-node Coulomb contact-friction problem is presented that utilizes run-time parameter updates on conventional elasto-plastic elements. The two-noded elements are defined by an independent…

Applied Physics · Physics 2025-02-27 Asifur Rahman , Kevin R. Mackie

A flexible fiber model based on the discrete element method (DEM) is presented and validated for the simulation of uniaxial compression of flexible fibers in a cylindrical container. It is found that the contact force models in the DEM…

Soft Condensed Matter · Physics 2023-01-18 Yu Guo , Yanjie Li , Qingzhao Liu , Zhenhua Li , Hanhui Jin , Carl Wassgren , Jennifer S. Curtis

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…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 jianqiao Hu , Hengxu Song , Stefan Sandfeld , Xiaoming Liu , Yueguang Wei

We study the deformations of elastic filaments confined within slowly-shrinking circular boundaries, under contact forces with friction. We perform computations with a spring-lattice model that deforms like a thin inextensible filament of…

Soft Condensed Matter · Physics 2022-02-23 Silas Alben

Piezoelectric actuators have been widely used to form a self-monitoring smart system to do Structural health monitoring (SHM). One of the most fundamental issues in using actuators is to determine the actuation effects being transferred…

Computational Physics · Physics 2016-11-09 Huangchao Yu , Xiaodong Wang

A general approach to simulate the mechanical behavior of textile materials by taking into account all their constitutive elementary fibers and contacts between them is presented in this paper. A finite element code, based on an implicit…

Materials Science · Physics 2009-12-08 Damien Durville

This is a survey on the theory of adaptive finite element methods (AFEMs), which are fundamental in modern computational science and engineering but whose mathematical assessment is a formidable challenge. We present a self-contained and…

Numerical Analysis · Mathematics 2024-11-20 Andrea Bonito , Claudio Canuto , Ricardo H. Nochetto , Andreas Veeser

A simple but general analysis of stability of axis-symmetric adhesive contacts is provided. Adhesion is considered in the JKR-approximation. Depending on the shape of the contacting bodies, various scenarios are possible, including…

Soft Condensed Matter · Physics 2017-07-26 Valentin L. Popov

In this paper a higher-order mixed finite element method for elastoplasticity with linear kinematic hardening is analyzed. Thereby, the non-differentiability of the involved plasticity functional is resolved by a Lagrange multiplier leading…

Numerical Analysis · Mathematics 2024-01-18 Patrick Bammer , Lothar Banz , Andreas Schröder

Precipitation of fine particles into the base material of a metal is a potent strengthening mechanism. This is numerically analyzed within a continuum framework based on a higher order strain gradient plasticity theory and by use of an…

Materials Science · Physics 2021-06-17 Mohammadali Asgharzadeh , Jonas Faleskog

In this paper, adhesive contact of a rigid cylinder on an elastic power-law graded half-space is studied analytically with the theory of weakly singular integral equation and orthogonal polynomial method. Emphasis is placed on the coupling…

Materials Science · Physics 2009-11-24 Jin Fan , Xu Guo

A quasistatic unilateral frictionless contact problem for a rigid axisymmetric indenter pressed into a homogeneous, linearly elastic and transversely isotropic elastic layer bonded to a homogeneous, linearly elastic and transversely…

Analysis of PDEs · Mathematics 2012-07-09 I. I. Argatov , F. J. Sabina

We demonstrate the ability of a stabilized finite element method, inspired by the weighted Nitsche approach, to alleviate spurious traction oscillations at interlaminar interfaces in multi-ply multi-directional composite laminates. In…

Computational Engineering, Finance, and Science · Computer Science 2020-08-21 Gourab Ghosh , Ravindra Duddu , Chandrasekhar Annavarapu

As inelastic structures are ubiquitous in many engineering fields, a central task in computational mechanics is to develop accurate, robust and efficient tools for their analysis. Motivated by the poor performances exhibited by standard…

Numerical Analysis · Mathematics 2018-09-21 Nicola A. Nodargi

Elliptic partial differential equations (PDEs) with discontinuous diffusion coefficients occur in application domains such as diffusions through porous media, electro-magnetic field propagation on heterogeneous media, and diffusion…

Numerical Analysis · Mathematics 2015-01-20 Andrea Bonito , Ronald A. DeVore , Ricardo H. Nochetto

We consider a poromechanics model including frictionless contact mechanics. The resulting model consists of the Biot equations with contact boundary conditions leading to a variational inequality modelling mechanical deformations coupled to…

Numerical Analysis · Mathematics 2024-07-19 Tameem Almani , Kundan Kumar

We present a computational framework for simulating filaments interacting with rigid bodies through contact. Filaments are challenging to simulate due to their codimensionality, i.e., they are one-dimensional structures embedded in…

Robotics · Computer Science 2025-09-18 Wei-Chen Li , Glen Chou

We construct a novel model for the steady-state contact angles of liquid droplets at the wetted substrate. The non-removable, thin liquid film covering the substrate is governed by the intermolecular forces between molecules of liquid and…

Fluid Dynamics · Physics 2022-10-19 Leonid Pekker , David Pekker , Nikolai Petviashvili

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

Analysis of PDEs · Mathematics 2019-06-11 Tomáš Roubíček
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