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A numerical model and parallel software for 3D simulations of granular flows have been developed based on the Lagrangian particle (LP) method [R.Samulyak, X. Wang, H.-C. Chen, Lagrangian particle method for compressible fluid dynamics, J.…

Computational Physics · Physics 2022-06-29 Mario Zepeda , Roman Samulyak

We propose a novel three-way coupling method to model the contact interaction between solid and fluid driven by strong surface tension. At the heart of our physical model is a thin liquid membrane that simultaneously couples to both the…

Fluid Dynamics · Physics 2021-05-19 Liangwang Ruan , Jinyuan Liu , Bo Zhu , Shinjiro Sueda , Bin Wang , Baoquan Chen

The ability to engineer complex three-dimensional shapes from planar sheets with precise, programmable control underpins emerging technologies in soft robotics, reconfigurable devices, and functional materials. Here, we present a…

Graphics · Computer Science 2026-02-02 Yupeng Zhang , Adam Alon , M. Khalid Jawed

We revisit the classical problem of the planar Euler \emph{elastica} with applied forces and moments, and present a classification of the shapes in terms of tangentially conserved quantities associated with spatial and material symmetries.…

Classical Physics · Physics 2018-10-08 H. Singh , J. A. Hanna

We propose a simple rubber friction law, which can be used, e.g., in models of tire (and vehicle) dynamics. The friction law is tested by comparing numerical results to the full rubber friction theory (B.N.J. Persson, J. Phys.: Condensed…

Soft Condensed Matter · Physics 2015-05-19 B. N. J. Persson

The influence of out-of-plane oscillations on friction is a well-known phenomenon that has been studied extensively with various experimental methods, e.g. pin-on-disk tribometers. However, existing theoretical models have yet achieved only…

Chaotic Dynamics · Physics 2017-05-30 Xinyu Mao , Valentin L. Popov , Jasminka Starcevic , Mikhail Popov

Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong non-locality). This article focuses on the…

Classical Physics · Physics 2014-04-04 Vasily E. Tarasov

The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are…

Analysis of PDEs · Mathematics 2017-01-16 M. Bostan , J. A. Carrillo

Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are…

Applied Physics · Physics 2024-07-31 Samuel P. Wallen , Michael R. Haberman , Washington DeLima

The description of surface-diffusion controlled dynamics via the phase-field method is less trivial than it appears at first sight. A seemingly straightforward approach from the literature is shown to fail to produce the correct…

Computational Physics · Physics 2017-03-13 Clemens Mueller-Gugenberger , Robert Spatschek , Klaus Kassner

A multilayered plate theory which uses transverse shear warping functions issued from three-dimensional elasticity is presented. Two methods to obtain these transverse shear warping functions are detailed. The warping functions are issued…

Classical Physics · Physics 2015-09-02 Alexandre Loredo , Alexis Castel

Contact mechanics-based models for the friction of nominally flat rough surfaces have not been able to adequately capture certain key experimentally observed phenomenona, such as the transition from a static friction peak to a lower level…

Soft Condensed Matter · Physics 2022-07-27 Yang Xu , Julien Scheibert , Nikolaj Gadegaard , Daniel M. Mulvihill

We have developed a simulation technique of multiscale Lagrangian fluid dynamics to tackle hierarchical problems relating to historical dependency of polymeric fluid. We investigate flow dynamics of dilute polymeric fluid by using the…

Computational Physics · Physics 2010-04-09 Takahiro Murashima , Takashi Taniguchi

This work proposes a model for granular deformation that predicts the stress and velocity profiles in well-developed dense granular flows. Recent models for granular elasticity (Jiang and Liu 2003) and rate-sensitive plastic flow (Jop et…

Soft Condensed Matter · Physics 2009-09-30 Ken Kamrin

Accurately predicting friction in sliding interfaces that contain third body wear particles is critical for engineering applications such as sliding movement in pistons, bearings, or metal forming. We present a hierarchical multiscale…

This paper develops a comprehensive two-dimensional generalisation of the recently introduced Friction with Bristle Dynamics (FrBD) framework for rolling contact problems. The proposed formulation extends the one-dimensional FrBD model to…

Applied Physics · Physics 2026-05-05 Luigi Romano

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

We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions.…

Applied Physics · Physics 2019-03-27 Rudy J. M. Geelen , Yingjie Liu , Tianchen Hu , Michael R. Tupek , John E. Dolbow

Lubrication forces depend to a high degree on elasticity, texture, charge, chemistry, and temperature of the interacting surfaces. Therefore, by appropriately designing surface properties, we may tailor lubrication forces to reduce…

Soft Condensed Matter · Physics 2020-08-19 Aidan Rinehart , Uǧis L{ā}cis , Thomas Salez , Shervin Bagheri

Lattice model with long-range interaction of power-law type that is connected with difference of non-integer order is suggested. The continuous limit maps the equations of motion of lattice particles into continuum equations with fractional…

Materials Science · Physics 2015-02-24 Vasily E. Tarasov
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