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In an inspiring recent study, Xu et al. [Nat. Phys. 19, 46 (2023)] observed for a living active biofilm under circular confinement two emergent dynamic modes of collective motion in the film. One corresponds to global rotational motion of…

Soft Condensed Matter · Physics 2025-02-11 Henning Reinken , Andreas M. Menzel

While many living biological media combine both viscous and elastic properties, most theoretical studies employ either purely fluid- or solid-like descriptions. We here use a unified framework for active films on substrates capable of…

Soft Condensed Matter · Physics 2025-11-07 Henning Reinken , Andreas M. Menzel

We develop a unified continuum modeling framework for viscous fluids and hyperelastic solids using the Gibbs free energy as the thermodynamic potential. This framework naturally leads to a pressure primitive variable formulation for the…

Computational Physics · Physics 2020-03-03 Ju Liu , Alison L. Marsden

Changes in the dynamics of supported polymer films in comparison to bulk materials involve a complex convolution of effects, such as substrate interactions, roughness and compliance, in addition to film thickness. We consider molecular…

Soft Condensed Matter · Physics 2015-02-11 Paul Z. Hanakata , Beatriz A. Pazmiño Betancourt , Jack F. Douglas , Francis W. Starr

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

The motion of an elastic solid inside of an incompressible viscous fluid is ubiquitous in nature. Mathematically, such motion is described by a PDE system that couples the parabolic and hyperbolic phases, the latter inducing a loss of…

Analysis of PDEs · Mathematics 2009-11-10 Daniel Coutand , Steve Shkoller

We discuss a unified flow theory which in a single system of hyperbolic partial differential equations (PDEs) can describe the two main branches of continuum mechanics, fluid dynamics, and solid dynamics. The fundamental difference from the…

Fluid Dynamics · Physics 2018-11-19 Ilya Peshkov , Evgeniy Romenski , Michael Dumbser

In equilibrium, the physical properties of matter are set by the interactions between the constituents. In contrast, the energy input of the individual components controls the behavior of synthetic or living active matter. Great progress…

Soft Condensed Matter · Physics 2025-08-29 Q. Martinet , Y. Li , A. Aubret , E. Hannezo , J. Palacci

In this review we summarize theoretical progress in the field of active matter, placing it in the context of recent experiments. Our approach offers a unified framework for the mechanical and statistical properties of living matter:…

Soft Condensed Matter · Physics 2012-07-13 M. C. Marchetti , J. -F. Joanny , S. Ramaswamy , T. B. Liverpool , J. Prost , Madan Rao , R. Aditi Simha

We introduce a class of continuum mechanical models aimed at describing the behaviour of viscoelastic fluids by incorporating concepts originated in the theory of solid plasticity. Within this class, even a simple model with constant…

Soft Condensed Matter · Physics 2024-09-04 Muhanna A. H Alrashdi , Giulio G. Giusteri

We present a microscopic model of a disordered viscoelastic active solid, i.e. an active material whose long time behaviour is elastic as opposed to viscous. It is composed of filaments, passive crosslinks and molecular motors powered by…

Soft Condensed Matter · Physics 2014-07-15 Rhoda J. Hawkins , Tanniemola B. Liverpool

Elastic active matter or active solid consists of self-propelled units embedded in an elastic matrix. Active solid resists deformation; the shape-preserving property and the intrinsic non-equilibrium nature make active solids a superior…

Soft Condensed Matter · Physics 2023-02-01 Haoran Xu , Yulu Huang , Rui Zhang , Yilin Wu

The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many applications. So far, little is known about the dynamics of such…

Soft Condensed Matter · Physics 2022-02-15 Yijiang Yu , Michael D. Graham

The dynamics of membrane undulations inside a viscous solvent is governed by distinctive, anomalous, power laws. Inside a viscoelastic continuous medium these universal behaviors are modified by the specific bulk viscoelastic spectrum. Yet,…

Soft Condensed Matter · Physics 2018-02-20 Rony Granek , Haim Diamant

In this paper, we present a unified framework to simulate non-Newtonian behaviors. We combine viscous and elasto-plastic stress into a unified particle solver to achieve various non-Newtonian behaviors ranging from fluid-like to solid-like.…

Graphics · Computer Science 2023-12-11 Chunlei Li , Yang Gao , Jiayi He , Tianwei Cheng , Shuai Li , Aimin Hao , Hong Qin

Active solids consist of elastically coupled out-of-equilibrium units performing work. They are central to autonomous processes, such as locomotion, self-oscillations and rectification, in biological systems,designer materials and robotics.…

Soft Condensed Matter · Physics 2025-01-17 P. Baconnier , D. Shohat , C. Hernandèz , C. Coulais , V. Démery , G. Düring , O. Dauchot

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

Soft Condensed Matter · Physics 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

This work presents a unified viscoelastic-viscoplastic continuum framework for modeling rate-dependent granular flows across regimes. The formulation incorporates two distinct rate-dependent mechanisms, namely micro-inertia and viscoelastic…

Soft Condensed Matter · Physics 2026-04-28 Bodhinanda Chandra , Sachith Dunatunga , Ken Kamrin

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

Analysis of PDEs · Mathematics 2019-02-19 Leonard Kreutz , Paolo Piovano

Many practically relevant materials combine properties of viscous fluids and elastic solids to viscoelastic behavior. Our focus is on the induced dynamic behavior of damped finite-sized particulate inclusions in such substances. We…

Soft Condensed Matter · Physics 2019-01-04 Mate Puljiz , Andreas M. Menzel
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