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In this paper, we present a formalism designed to model tidal interaction with a viscoelastic body made of Maxwell material. Our approach remains regular for any spin rate and orientation, and for any orbital configuration including high…

Earth and Planetary Astrophysics · Physics 2016-12-09 Gwenaël Boué , Alexandre C. M. Correia , Jacques Laskar

We study the rheology of bidisperse non-Brownian suspensions using particle-based simulation, mapping the viscosity as a function of the size ratio of the species, their relative abundance, and the overall solid content. The variation of…

Soft Condensed Matter · Physics 2024-06-04 Abhinendra Singh , Christopher Ness , Abhishek K. Sharma , Juan J. de Pablo , Heinrich M. Jaeger

We perform simulations of an impulsively-started, axisymmetric viscoelastic jet exiting a nozzle and entering a stagnant gas phase using the open-source code Basilisk. This code allows for efficient computations through an…

Fluid Dynamics · Physics 2024-11-20 Konstantinos Zinelis , Thomas Abadie , Gareth H. McKinley , Omar K. Matar

The effect of non-Newtonian rheology, manifested through a viscoelastic linearized Maxwell model, on the time-dependent non-equilibrium concentration fluctuations due to free diffusion as well as thermal diffusion of a species is analyzed…

Fluid Dynamics · Physics 2016-06-17 Debonil Maity , Aditya Bandopadhyay , Suman Chakraborty

Complex fluids, such as polymer solutions and blends, colloids and gels, are of growing interest in fundamental and applied soft-condensed-matter science. A common feature of all such systems is the presence of a mesoscopic structural…

Soft Condensed Matter · Physics 2009-11-10 A. F. Kostko , M. A. Anisimov , J. V. Sengers

Plasticity in zirconium is controlled by 1/3<1-210> screw dislocations gliding in the prism planes of the hexagonal close-packed structure. This prismatic and not basal glide is observed for a given set of transition metals like zirconium…

Materials Science · Physics 2012-10-04 Emmanuel Clouet

We analyse the time dependent non-linear rheology of a dilute bacterial suspension (e.g. E. coli) for a pair of impulsively started linear flows - simple shear and uniaxial extension. The rheology is governed by the bacterium orientation…

Fluid Dynamics · Physics 2019-06-26 Sankalp Nambiar , Phanikanth S , Nott P. R. , Ganesh Subramanian

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 most of the previous studies related to collisional disruption of planetesimals in the gravity regime, Smoothed Particle Hydrodynamics (SPH) simulations have been used. On the other hand, impact simulations using grid-based hydrodynamic…

Earth and Planetary Astrophysics · Physics 2018-07-04 Ryo Suetsugu , Hidekazu Tanaka , Hiroshi Kobayashi , Hidenori Genda

It is shown that the dynamics of a two-dimensional crystal with a finite concentration of dislocations, as well as vacancy and interstitial defects, is governed by the hydrodynamic equations of a viscoelastic medium. At the longest length…

Soft Condensed Matter · Physics 2009-11-07 M. Cristina Marchetti , Karl Saunders

Given a set of inelastic material models, a microstructure, a macroscopic structural geometry, and a set of boundary conditions, one can in principle always solve the governing equations to determine the system's mechanical response.…

Computational Engineering, Finance, and Science · Computer Science 2023-06-27 Ghina Jezdan , Sanjay Govindjee , Klaus Hackl

We present a new rheological model depending on a real parameter $\nu \in [0,1]$ that reduces to the Maxwell body for $\nu=0$ and to the Becker body for $\nu=1$. The corresponding creep law is expressed in an integral form in which the…

Geophysics · Physics 2018-03-01 Francesco Mainardi , Enrico Masina , Giorgio Spada

In the one-dimensional isothermal case, we introduce a simple model of nonlinear viscoelasticity within the Rational Extended Thermodynamics (RET) framework. The differential system is determined by the universal principles of RET,…

Soft Condensed Matter · Physics 2024-01-29 Tommaso Ruggeri

We use the normal mode formalism to study the shear rheology of the vertex model for epithelial tissue mechanics in the overdamped linear response regime. We consider systems with external (e.g., cell-substrate) and internal (e.g.,…

Soft Condensed Matter · Physics 2023-02-27 Sijie Tong , Rastko Sknepnek , Andrej Kosmrlj

The internal and external mechanical environment plays an important role in tumorogenesis. As a proxy of an avascular early state tumor, we use multicellular spheroids, a composite material made of cells, extracellular matrix and permeating…

Classical scaling relationships for rheological quantities such as the $\mu(J)$-rheology have become increasingly popular for closures of two-phase flow modeling. However, these frameworks have been derived for monodisperse particles. We…

Fluid Dynamics · Physics 2021-12-22 Christoph Rettinger , Sebastian Eibl , Ulrich Rüde , Bernhard Vowinckel

In this paper we investigate a general class of linear viscoelastic models whose creep and relaxation memory functions are expressed in Laplace domain by suitable ratios of modified Bessel functions of contiguous order. In time domain these…

Mathematical Physics · Physics 2017-05-22 Ivano Colombaro , Andrea Giusti , Francesco Mainardi

Mud is a suspension of fine-grained particles (sand, silt, and clay) in water. The interaction of clay minerals in mud gives rise to complex rheological behaviors, such as yield stress, thixotropy and viscoelasticity. Here, we…

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

This work rigorously implements a recent model of large-strain elasto-plastic evolution in single crystals where the plastic flow is driven by the movement of discrete dislocation lines. The model is geometrically and elastically nonlinear,…

Analysis of PDEs · Mathematics 2024-02-27 Filip Rindler