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The dynamics of the Reynolds stress tensor for turbulent flows is described with an evolution equation coupling both geometric effects and turbulent source terms. The effects of the mean flow geometry are shown up when the source terms are…

Classical Physics · Physics 2017-08-23 Sergey L. Gavrilyuk , Henri Gouin

Several fluctuation formulas are available for calculating elastic constants from equilibrium correlation functions in computer simulations, but the ones available for simulations at constant pressure exhibit slow convergence properties and…

Computational Physics · Physics 2018-06-13 Dominik Lips , Philipp Maass

An exact solution of coarse-grained polymer models with fluctuating internal friction and hydrodynamic interactions has not been proposed so far due to a one-to-all coupling between the connector vector velocities that precludes the…

Soft Condensed Matter · Physics 2024-06-19 R. Kailasham , Rajarshi Chakrabarti , J. Ravi Prakash

Colloidal systems are often modelled as fluids of hard particles (possibly with an additional soft attraction, e.g. caused by polymers also contained in the suspension). in simulations of such systems, the virial theorem cannot be…

Soft Condensed Matter · Physics 2015-05-30 Debabrata Deb , Dorothea Wilms , Alexander Winkler , Peter Virnau , Kurt Binder

A new method that solves concurrently the multi-fluid and Maxwell's equations has been developed for plasma simulations. By calculating the stress tensor in the multi-fluid momentum equation by means of computational particles moving in a…

Computational Physics · Physics 2018-04-04 Stefano Markidis , Pierre Henri , Giovanni Lapenta , Kjell Ronnmark , Maria Hamrin , Zakaria Meliani , Erwin Laure

Mathematical models and computer algorithms are developed to calculate dynamic stress concentration and fracture wave propagation in a reinforced composite sheet. The composite consists of a regular system alternating extensible fibers and…

Computational Physics · Physics 2012-03-09 M. Ayzenberg-Stepanenko , Z. Yanovitsky , G. Osharovich

We derive the membrane elastic stress and torque tensors using the standard Helfrich model and a direct variational method in which the edges of a membrane are infinitesimally translated and rotated. We give simple expressions of the stress…

Soft Condensed Matter · Physics 2007-05-23 Jean-Baptiste Fournier

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

Materials Science · Physics 2021-04-06 I. I. Tagiltsev , A. V. Shutov

The stress-gradient theory has a third order tensor as kinematic degree of freedom, which is work-conjugate to the stress gradient. This tensor was called micro-displacements just for dimensional reasons. Consequently, this theory requires…

Computational Physics · Physics 2020-02-19 Geralf Hütter , Karam Sab , Samuel Forest

Local pressures are important in the calculation of interface tensions and in analyzing micromechanical behavior. The calculation of local pressures in computer simulations has been limited to systems with pairwise interactions between the…

Statistical Mechanics · Physics 2007-05-23 Hendrik Heinz , Wolfgang Paul , Kurt Binder

Data-driven methods for modelling purposes in fluid mechanics are a promising alternative given the continuous increase of both computational power and data-storage capabilities. Highly non-linear flows including turbulence and reaction are…

Fluid Dynamics · Physics 2019-04-18 Zacharias M. Nikolaou , Charalambos Chrysostomou , Yuki Minamoto , Luc Vervisch

A MEMS-based sensing device is used to measure the normal and tangential stress fields at the base of a rough elastomer film in contact with a smooth glass cylinder in steady sliding. This geometry allows for a direct comparison between the…

Soft Condensed Matter · Physics 2009-11-15 Julien Scheibert , Alexis Prevost , Georges Debrégeas , Eytan Katzav , Mohktar Adda-Bedia

Dense suspensions of particles dispersed in liquids are central to industrial and geophysical processes and serve as model systems for out-of-equilibrium soft matter. At high particle concentrations, they exhibit stress-dependent rheology,…

Soft Condensed Matter · Physics 2026-03-16 Orhun Ayar , Bhargav Sriram Siddani , Ishan Srivastava , Abhinendra Singh

In this work, we provide a solution to the problem of computing collision stress in particle-tracking simulations. First, a formulation for the collision stress between particles is derived as an extension of the virial stress formula to…

Fluid Dynamics · Physics 2019-02-18 Wen Yan , Huan Zhang , Michael J. Shelley

Using particle-based numerical simulations performed under pressure-imposed conditions, we investigate the transient dilation dynamics of a shear thickening suspension brought to shear jamming. We show that the stress levels, instead of…

Soft Condensed Matter · Physics 2024-08-28 Shivakumar Athani , Bloen Metzger , Yoël Forterre , Romain Mari

Constitutive equations are developed for a polymer fluid, which is treated as a permanent network of strands bridged by junctions. The junctions are assumed to slide with respect to their reference positions under loading. Governing…

Materials Science · Physics 2007-05-23 A. D. Drozdov , R. K. Gupta

This paper presents a rigorous derivation of equations to evaluate the macroscopic stress tensor, the couple stress tensor, and the flux vector equivalent to underlying microscopic fields in continuous and discrete heterogeneous systems…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 Jan Eliáš , Gianluca Cusatis

Thermal fluctuations, geometric exclusion, and external driving all govern the mechanical response of dense particulate suspensions. Here, we measure the stress-strain response of quasi-two-dimensional flow-stabilized microsphere heaps in a…

Soft Condensed Matter · Physics 2014-07-22 Carlos P. Ortiz , Karen E. Daniels , Robert Riehn

In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relationship is assumed, it is typically formulated in terms of an…

Numerical Analysis · Mathematics 2019-12-20 Patrick E. Farrell , Pablo Alexei Gazca-Orozco , Endre Süli

Multiparticle collision dynamics (MPC), a particle-based mesoscale simulation technique for com- plex fluid, is widely employed in non-equilibrium simulations of soft matter systems. To maintain a defined thermodynamic state, thermalization…

Soft Condensed Matter · Physics 2015-03-30 Chien-Cheng Huang , Anoop Varghese , Gerhard Gompper , Roland G. Winkler