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Mixed atomistic and continuum methods offer the possibility of carrying out simulations of material properties at both larger length scales and longer times than direct atomistic calculations. The quasi-continuum method links atomistic and…

Materials Science · Physics 2007-05-23 V. B. Shenoy , R. Miller , E. B. Tadmor , D. Rodney , R. Phillips , M. Ortiz

We present a GPU-friendly framework for real-time implicit simulation of elastic material in the presence of frictional contacts. The integration of hyperelasticity, non-interpenetration contact, and friction in real-time simulations…

Graphics · Computer Science 2025-03-20 Ziqiu Zeng , Siyuan Luo , Fan Shi , Zhongkai Zhang

We describe benchmark experiments to evaluate the frictional properties of laser patterned low-density polyethylene as a function of sliding velocity, normal force and humidity. The pattern is a square lattice of square cavities with sub-mm…

We study the axisymmetric impact of a rigid sphere onto an elastic membrane theoretically and experimentally. We derive governing equations from first principles and impose natural kinematic and geometric constraints for the coupled motion…

Classical Physics · Physics 2023-01-19 Elvis A. Agüero , Luke Alventosa , Daniel M. Harris , Carlos A. Galeano-Rios

Numerical simulations are essential for evaluating the performance and safety of geological engineered systems such as geologic carbon storage sites, enhanced geothermal fields, and oil and gas reservoirs. A key challenge lies in accurately…

Numerical Analysis · Mathematics 2025-09-26 Matteo Frigo , Nicola Castelletto , Matteo Cusini , Randolph R. Settgast , Hamdi A. Tchelepi

Frictional sliding contact in hydrodynamic environments can be found in a range of engineering applications. Accurate modeling requires an integrated numerical framework capable of resolving large relative motions, multiphase interactions,…

Computational Physics · Physics 2025-10-01 Biswajeet Rath , Rajeev K. Jaiman

Simulation of frictional contact and shear failure of fractures in fractured media is of paramount important in computational mechanics. In this work, a preconditioned mixed-finite element (FE) scheme with Lagrange multipliers is proposed…

Numerical Analysis · Mathematics 2021-10-29 Luyu Wang , Cornelis Vuik , Hadi Hajibeygi

This paper extends the distributed rolling contact FrBD framework to linear viscoelasticity by considering classic derivative Generalised Maxwell and Kelvin-Voigt rheological representations of the bristle element. With this modelling…

Applied Physics · Physics 2026-04-30 Luigi Romano

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

Materials Science · Physics 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

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…

Soft Condensed Matter · Physics 2020-09-03 Emanuele Boattini , Nina Bezem , Sudeep N. Punnathanam , Frank Smallenburg , Laura Filion

We study the adhesive contact between elastic solids with randomly rough, self affine fractal surfaces. We present molecular dynamics (MD) simulation results for the interfacial stress distribution and the wall-wall separation. We compare…

Soft Condensed Matter · Physics 2009-11-13 C. Yang , B. N. J. Persson , J. Israelachvili , K. Rosenberg

A rigid-plastic Cosserat model has been used to study dense, fully developed flow of granular materials through a vertical channel. Frictional models based on the classical continuum do not predict the occurrence of shear layers, at…

Soft Condensed Matter · Physics 2007-05-23 L. Srinivasa Mohan , Prabhu R. Nott , K. Kesava Rao

We investigate the sliding strength of thin filaments in frictional contact with a translating cylinder, perpendicular to the filaments' axes, in knotted (clove hitch) and unknotted (capstan) configurations. Recent work reported superlinear…

Soft Condensed Matter · Physics 2026-04-09 Javier Sabater , Ji-Sung Park , Jérôme Crassous , Sébastien Neukirch , Pedro M. Reis

The Finite Element Method (FEM) is a powerful modeling tool for predicting soft robots' behavior, but its computation time can limit practical applications. In this paper, a learning-based approach based on condensation of the FEM model is…

We propose to combine the ideas of mass redistribution and component mode synthesis. More specifically, we employ the MacNeal method, which readily leads to a singular mass matrix, and an accordingly modified version of the Craig-Bampton…

Computational Engineering, Finance, and Science · Computer Science 2021-11-16 Carlo Monjaraz-Tec , Johann Gross , Malte Krack

We formulate and analyze a Nitsche-type algorithm for frictional contact problems. The method is derived from, and analyzed as, a stabilized finite element method and shown to be quasi-optimal, as well as suitable as an adaptive scheme…

Numerical Analysis · Mathematics 2021-06-24 Tom Gustafsson , Juha Videman

Using molecular dynamics (MD) we study the dependency of the contact mechanics on the sliding speed when an elastically soft slab (block) is sliding on a rigid substrate with a ${\rm sin} (q_0 x)$ surface height profile. The atoms on the…

Soft Condensed Matter · Physics 2020-08-26 J. Wang , A. Tiwari , I. Sivebaek , B. N. J. Persson

This paper introduces DEM-Engine, a new submodule of Project Chrono, that is designed to carry out Discrete Element Method (DEM) simulations. Based on spherical primitive shapes, DEM-Engine can simulate polydisperse granular materials and…

Computational Engineering, Finance, and Science · Computer Science 2023-11-10 Ruochun Zhang , Bonaventura Tagliafierro , Colin Vanden Heuvel , Shlok Sabarwal , Luning Bakke , Yulong Yue , Xin Wei , Radu Serban , Dan Negrut

We consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method is applied to the shallow region of the simulation domain…

Numerical Analysis · Mathematics 2018-12-26 Longfei Gao , David Keyes

Atomistic simulations are used to test the equations of continuum contact mechanics in nanometer scale contacts. Nominally spherical tips, made by bending crystals or cutting crystalline or amorphous solids, are pressed into a flat, elastic…

Materials Science · Physics 2009-11-11 Binquan Luan , Mark O. Robbins