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Self-supervised representation learning is able to learn semantically meaningful features; however, much of its recent success relies on multiple crops of an image with very few objects. Instead of learning view-invariant representation…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Yuwen Xiong , Mengye Ren , Wenyuan Zeng , Raquel Urtasun

Discrete particle simulations are used to study the shear rheology of dense, stabilized, frictional particulate suspensions in a viscous liquid, toward development of a constitutive model for steady shear flows at arbitrary stress. These…

Soft Condensed Matter · Physics 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

It was shown in [PRL 114, 138301 (2015)] that a remarkably simple dynamical model exhibits many of the complex flow regimes and non-equilibrium phase transitions characteristic of complex fluids. By removing extraneous detail, this simplest…

Soft Condensed Matter · Physics 2016-09-05 R. M. L. Evans , Craig A. Hall , R. Aditi Simha , Tom Welsh

We study the necking dynamics of a filament of complex fluid or soft solid in uniaxial tensile stretching at constant imposed Hencky strain rate $\dot\varepsilon$, by means of linear stability analysis and nonlinear (slender filament)…

Soft Condensed Matter · Physics 2016-11-22 David M. Hoyle , Suzanne M. Fielding

The problem of classifying turbulent environments from partial observation is key for some theoretical and applied fields, from engineering to earth observation and astrophysics, e.g. to precondition searching of optimal control policies in…

Fluid Dynamics · Physics 2022-10-19 Michele Buzzicotti , Fabio Bonaccorso

We investigate the possibility that the spatial dependency of stress in generalized Newtonian flow systems is a function of the applied pressure field and the conduit geometry but not of the fluid rheology. This possibility is well…

Fluid Dynamics · Physics 2015-09-08 Taha Sochi

An adaptive model for the description of flows in highly heterogeneous porous media is developed in~\cite{FP21,FP23}. There, depending on the magnitude of the fluid's velocity, the constitutive law linking velocity and pressure gradient is…

Numerical Analysis · Mathematics 2024-05-06 Alessio Fumagalli , Francesco S. Patacchini

We simulate complex fluids by means of an on-the-fly coupling of the bulk rheology to the underlying microstructure dynamics. In particular, a macroscopic continuum model of polymeric fluids is constructed without a pre-specified…

Computational Physics · Physics 2020-05-13 Lifei Zhao , Zhen Li , Bruce Caswell , Jie Ouyang , George Em Karniadakis

We present theoretical predictions of granular flow in a conical hopper based on a continuum theory employing a recently-developed constitutive model with microstructure evolution by Sun and Sundaresan [1]. The model is developed for strain…

Soft Condensed Matter · Physics 2012-07-10 Jin Sun , Sankaran Sundaresan

In this contribution, we present a new Materials Knowledge System framework for microstructure-sensitive predictions of effective stress--strain responses in composite materials. The model is developed for composites with a wide range of…

Materials Science · Physics 2018-12-17 Marat I. Latypov , Laszlo S. Toth , Surya R. Kalidindi

A closure theory is developed for inhomogeneous turbulent flow, which enables a systematic derivation of the turbulence constitutive relations without relying on any empirical parameters. Renormalized-perturbation approximation is performed…

Fluid Dynamics · Physics 2019-06-26 Taketo Ariki

We propose a new framework for identifying mechanical properties of heterogeneous materials without a closed-form constitutive equation. Given a full-field measurement of the displacement field, for instance as obtained from digital image…

The characteristic decomposition for GRMHD is not known in a form useful for current numerical simulations. This prevents us from using the most accurate known computational methods, such as full-wave Riemann solvers. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Saul A. Teukolsky

Polar sea ice is crucial to Earth's climate system. Its dynamics also affect coastal communities, wildlife, and global shipping. Sea ice is typically modeled as a continuum fluid using a model proposed almost 50 years ago, which is…

Fluid Dynamics · Physics 2026-01-28 Gonzalo G. de Diego , Georg Stadler

We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and…

Applied Physics · Physics 2025-08-11 Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

We provide a complete derivation of hydrodynamic equations for nonrelativistic systems based on quantum field theories of spinless Schr\"odeinger fields, assuming that an initial density operator takes a special form of the local Gibbs…

Statistical Mechanics · Physics 2021-10-07 Masaru Hongo

Twisting and bending deformations are crucial to the biological functions of microfilaments such as DNA molecules. Although continuum-rod models have emerged as efficient tools to describe the nonlinear dynamics of these deformations, a…

Computational Physics · Physics 2015-03-13 Adam R. Hinkle , Sachin Goyal , Harish J. Palanthandalam-Madapusi

Modeling the full-range deformation behaviors of materials under complex loading and materials conditions is a significant challenge for constitutive relations (CRs) modeling. We propose a general encoder-decoder deep learning framework…

Materials Science · Physics 2023-04-04 Qing-Jie Li , Mahmut Nedim Cinbiz , Yin Zhang , Qi He , Geoffrey Beausoleil , Ju Li

Data-driven techniques have improved the accuracy of Reynolds-averaged Navier-Stokes (RANS) models in fluid dynamics. However, modeling separated flows remains challenging due to their complex physics and sensitivity to local conditions.…

Fluid Dynamics · Physics 2025-11-19 Ali Eidi , Tyler Buchanan , Letian Jiang , Richard P. Dwight

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the…

Fluid Dynamics · Physics 2008-09-25 S. L. Arsenjev
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