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The numerical prediction of droplet base radius and contact angle depends on the choice of characteristic radius and height of droplet. In this study, a developed model on the basis of lubrication approximation is used to investigate the…

Fluid Dynamics · Physics 2017-08-01 Debanik Bhattacharjee , Hadi Nazaripoor , Mohtada Sadrzadeh

Ordinary Differential Equations are a simple but powerful framework for modeling complex systems. Parameter estimation from times series can be done by Nonlinear Least Squares (or other classical approaches), but this can give…

Methodology · Statistics 2014-10-29 Quentin Clairon , Nicolas Brunel

The linear-frictional contact model is the most commonly used contact mechanism for discrete element (DEM) simulations of granular materials. Linear springs with a frictional slider are used for modeling interactions in directions normal…

Computational Engineering, Finance, and Science · Computer Science 2020-02-25 Matthew R. Kuhn , Kiichi Suzuki , Ali Daouadji

The crystal plasticity finite element method (CPFEM) is a widely used technique for resolving macroscopic stress and strain onto the physically relevant length scales of grains and slip systems in ductile crystalline materials like…

Materials Science · Physics 2024-02-27 John D. Shimanek , Zi-Kui Liu , Allison M. Beese

In this paper the normal collision of spherical particles is investigated. The particle interaction is modelled in a macroscopic way using the Hertzian contact force with additional linear damping. The goal of the work is to develop an…

Fluid Dynamics · Physics 2016-03-02 Shouryya Ray , Tobias Kempe , Jochen Fröhlich

Crystal plasticity models connect macroscopic deformation with the physics of microscale slip in polycrystalline materials. These models can be calibrated using global stress-strain curves, but the resulting parametrization is often not…

Materials Science · Physics 2026-03-24 Joshua D. Pribe , Patrick E. Leser , Saikumar R. Yeratapally , George Weber

This paper investigates a framework (CATCH-FORM-3D) for the precise contact force control and surface deformation regulation in viscoelastic material manipulation. A partial differential equation (PDE) is proposed to model the…

Robotics · Computer Science 2025-04-14 Hongjun Ma , Weichang Li

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

This article investigates a space-time differential model related to the degradation of stone artifacts caused by exposure to air and atmospheric agents, which specifically lead to the accumulation of salt crystals in the material. A…

The experimentally observed swelling and collapse response of weakly charged polymers to the addition of specific salts displays quite convoluted behavior that is not easy to categorize. Here we use a minimalistic implicit solvent /…

Chemical Physics · Physics 2018-08-13 Richard Chudoba , Jan Heyda , Joachim Dzubiella

We propose an extension of the anisotropic interaction model which allows for collision avoidance in pairwise interactions by a rotation of forces \cite{arXiv:1912.04234} by including the agents' body size. The influence of the body size on…

Optimization and Control · Mathematics 2022-03-22 Zhomart Turarov , Claudia Totzeck

Estimation of parameters is a crucial part of model development. When models are deterministic, one can minimise the fitting error; for stochastic systems one must be more careful. Broadly parameterisation methods for stochastic dynamical…

Statistics Theory · Mathematics 2018-04-12 Asbjørn N. Riseth , Jake P. Taylor-King

Calibration, the practice of choosing the parameters of a structural model to match certain empirical moments, can be viewed as minimum distance estimation. Existing standard error formulas for such estimators require a consistent estimate…

Econometrics · Economics 2024-06-19 Matthew D. Cocci , Mikkel Plagborg-Møller

Processes of mixing and segregation in a packed bed of granular material stirred by a periodically moving rectangular bar are simulated by the discrete element method (DEM). Influence of mechanical properties of the particle material…

Soft Condensed Matter · Physics 2007-10-01 A. Dziugys , R. Navakas

The structure and function of biological molecules are strongly influenced by the water and dissolved ions that surround them. This aqueous solution (solvent) exerts significant electrostatic forces in response to the biomolecule's…

Numerical Analysis · Mathematics 2015-12-29 Matthew G. Knepley , Jaydeep P. Bardhan

Contacts between particles in dense, sheared suspensions are believed to underpin much of their rheology. Roughness and adhesion are known to constrain the relative motion of particles, and thus globally affect the shear response, but an…

We study equilibrium properties of polymer films and droplets on a solid substrate employing particle-based simulation techniques (Molecular Dynamics) and a continuum description. Parameter-passing techniques are explored that facilitate a…

Soft Condensed Matter · Physics 2013-03-25 Nikita Tretyakov , Marcus Müller , Desislava Todorova , Uwe Thiele

Normal contact behaviour between non adhesive fractal rough particles is studied using a finite element method (FEM). A series of spherical grain surfaces with distinguished roughness features are generated by means of Spherical Harmonics.…

Materials Science · Physics 2022-07-14 Deheng Wei , Chongpu Zhai , Dorian A. H. Hanaor , Yixiang Gan

A stochastic discrete slip approach is proposed to model plastic deformation in submicron domains. The model is applied to the study of submicron pillar ($D~\leq~1\mu m$) compression experiments on tungsten (W), a prototypical metal for…

Materials Science · Physics 2024-04-17 Carlos J. Ruestes , Javier Segurado

The discrete element method (DEM) can provide detailed descriptions of sea ice dynamics that explicitly model floes and discontinuities in the ice, which can be challenging to represent accurately with current models. However, floe-scale…

Geophysics · Physics 2022-07-13 Brendan West , Devin O'Connor , Matthew Parno , Max Krackow , Chris Polashenski