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Models of active nematics in biological systems normally require complexity arising from the hydrodynamics involved at the microscopic level as well as the viscoelastic nature of the system. Here we show that a minimal, space-independent,…

Soft Condensed Matter · Physics 2022-06-27 Emmanuel L. C. VI M. Plan , Huong Le Thi , Julia M. Yeomans , Amin Doostmohammadi

We comprehensively study mechanical and vibrational properties of dimer packings in three-dimensional space with particular attention on critical scaling behaviors near the jamming transition. First, we confirm the dependence of the packing…

Soft Condensed Matter · Physics 2020-06-26 Kumpei Shiraishi , Hideyuki Mizuno , Atsushi Ikeda

In this paper we do a comparative presentation of the linear isotropic Cosserat elastic model from two perspectives: the classical Mindlin-Eringen-Nowacki description in terms of a microrotation vector and a new formulation in terms of a…

Mathematical Physics · Physics 2022-06-07 Ionel-Dumitrel Ghiba , Gianluca Rizzi , Angela Madeo , Patrizio Neff

Image acquisition techniques such as micro-computed tomography are nowadays widely available. Quantitative analysis of the resulting 3D image data enables geometric characterization of the micro-structure of materials. Stochastic geometry…

Numerical Analysis · Mathematics 2025-01-28 Anne Jung , Claudia Redenbach , Katja Schladitz , Sarah Staub

We investigate the nonlinear vibrations of a functionally graded dielectric elastomer plate subjected to electromechanical loads. We focus on local and global dynamics in the system. We employ the Gent strain energy function to model the…

Soft Condensed Matter · Physics 2024-06-28 Amin Alibakhshi , Sasan Rahmanian , Michel Destrade , Giuseppe Zurlo

In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material properties are assumed to be temperature dependent and…

Numerical Analysis · Mathematics 2011-07-21 S Natarajan , PM Baiz , M Ganapathi , P Kerfriden , S Bordas

We present numerical simulations of simplified models for swimming organisms or robots, using chordwise flexible elastic plates. We focus on the tip vortices originating from three-dimensional effects due to the finite span of the plate.…

Fluid Dynamics · Physics 2018-03-21 T. Engels , D. Kolomenskiy , K. Schneider , J. Sesterhenn

In fluid turbulence, energy is transferred from a scale to another by an energy cascade that depends only on the energy dissipation rate. It leads by dimensional arguments to the Kolmogorov 1941 (K41) spectrum. Remarkably the normal modes…

Chaotic Dynamics · Physics 2019-06-19 Gustavo Düring , Christophe Josserand , Giorgio Krstulovic , Sergio Rica

We develop a new higher order closed-form model for the dynamics of a hyperelastic isotropic 3D cylindrical body. We derive, for the first time, a simple explicit expression for the fundamental frequency.

Classical Physics · Physics 2013-12-17 Eli Hanukah

We suggest an alternative mathematical model for the electron in dimension 1+2. We think of our (1+2)-dimensional spacetime as an elastic continuum whose material points can experience no displacements, only rotations. This framework is a…

Mathematical Physics · Physics 2012-08-21 James Burnett , Dmitri Vassiliev

Unlike macroscopic multistable mechanical systems such as snap bracelets or elastic shells that must be physically manipulated into various conformations, microscopic systems can undergo spontaneous conformation switching between…

Statistical Mechanics · Physics 2013-08-29 Ee Hou Yong , L. Mahadevan

The leading order "temperature" of a dense two dimensional granular material fluidised by external vibrations is determined. An asymptotic solution is obtained where the particles are considered to be elastic in the leading approximation.…

Soft Condensed Matter · Physics 2009-10-31 P. Sunthar , V. Kumaran

The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this paper we propose an elastic realization of these ladders, employing for this purpose the torsional vibrations of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Gutierrez , A. Diaz-de-Anda , J. Flores , R. A. Mendez-Sanchez , G. Monsivais , A. Morales

The static and dynamic properties of a Cosserat-type lattice interface of finite thickness are studied, so that both displacements and rotational degrees of freedom are taken into account. The model allows considering interfaces with a…

Materials Science · Physics 2010-05-02 Aleksey A. Vasiliev , Andrey E. Miroshnichenko , Massimo Ruzzene

We study in detail the recent suggestions by Tshiprut et al. [Phys. Rev. Lett. 95, 016101 (2005)] to tune tribological properties at the nanoscale by subjecting a substrate to periodic mechanical oscillations. We show that both in…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Roberto Guerra , Andrea Vanossi , Michael Urbakh

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

Fluid Dynamics · Physics 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending element based on field and edge consistency…

Numerical Analysis · Mathematics 2011-07-21 S Natarajan , PM Baiz , S Bordas , T Rabczuk , P Kerfriden

Vibrated granular matter constitutes a useful system for studying the physics of active matter. Usually, self-propulsion is induced in grains through suitable asymmetry in the particle design. In this paper, we show that a symmetrical mini…

Soft Condensed Matter · Physics 2024-12-25 Shubham Sharma , Deepak Kumar

The study of cells' dynamical properties is essential to a better understanding of several physiological processes. These properties are directly associated with cells' mechanical parameters experimentally achieved through physical stress.…

Soft Condensed Matter · Physics 2022-01-26 G. Ourique , E. F. Teixeira , L. G. Brunnet

A model of the three-dimensional rotating compressible Euler equations on the cubed sphere is presented. The model uses a mixed mimetic spectral element discretization which allows for the exact exchanges of kinetic, internal and potential…

Numerical Analysis · Mathematics 2020-12-01 D. Lee , A. Palha
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