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We develop a perturbation theory to study the shape and the orientation of an initially spherical capsule of radius R with a viscosity contrast, a surface tension {\sigma} and a bending rigidity $\kappa$ in linear flows. The elastic…

Soft Condensed Matter · Physics 2026-02-18 Paul Regazzi , Marc Leonetti

We study the behaviour of circular flexible loops sedimenting in a viscous fluid by numerical simulations and linear stability analysis. The numerical model involves a local slender-body theory approximation for the flow coupled to the…

Fluid Dynamics · Physics 2021-07-01 Radost Waszkiewicz , Piotr Szymczak , Maciej Lisicki

Fundamental thermodynamical concepts and a solid-state point defect elastic model are used to formulate a diffusivity-density scaling function for viscous liquids. It is proved in a straightforward manner that the scaling exponent…

Disordered Systems and Neural Networks · Physics 2010-04-20 Anthony N. Papathanassiou , Ilias Sakellis

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch

The viscous dissipation between rigid, randomly rough indenters and linearly elastic counter bodies sliding past them is investigated using Green's function molecular dynamics. The study encompasses a variety of models differing in the…

Soft Condensed Matter · Physics 2021-05-21 Sergey Sukhomlinov , Martin H. Müser

Exact solutions are derived for the problem of a two-dimensional, infinitely anisotropic, linear-elastic medium containing a periodic lattice of voids. The matrix material possesses either one infinitely soft, or one infinitely hard loading…

Materials Science · Physics 2008-04-17 Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

We introduce models for viscoelastic materials, both solids and fluids, based on logarithmic stresses to capture the elastic contribution to the material response. The matrix logarithm allows to link the measures of strain, that naturally…

Analysis of PDEs · Mathematics 2024-10-10 Gennaro Ciampa , Giulio G. Giusteri , Alessio G. Soggiu

We initiate the development of a theory of the elasticity of nanoscale objects based upon new physical concepts which remain properly defined on the nanoscale. This theory provides a powerful way of understanding nanoscale elasticity in…

Materials Science · Physics 2016-08-31 D. E. Segall , Sohrab Ismail-Beigi , T. A. Arias

In civil, mechanical, and aerospace engineering, structural dynamics is commonly understood to be a discipline concerned with the analysis and characterization of the vibratory response of structures. Key elements of the response are the…

Applied Physics · Physics 2018-09-13 Clemence L. Bacquet , Mahmoud I. Hussein

In this work, we investigate the dynamics of the number density fluctuations of a dilute suspension of active particles in a linear viscoelastic fluid. We propose a model for the frequency-dependent diffusion coefficient of the active…

Soft Condensed Matter · Physics 2022-11-08 Juan Ruben Gomez-Solano , Rosalio F. Rodriguez , Elizabeth Salinas-Rodriguez

The elastic behavior of materials operating in the linear regime is constrained, by definition, to operations that are linear in the imposed deformation. Though the nonlinear regime holds promise for new functionality, the design in this…

Soft Condensed Matter · Physics 2020-12-15 Daniel Hexner

In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

The sliding of non-Newtonian drops down planar surfaces results in a complex, entangled balance between interfacial forces and non linear viscous dissipation, which has been scarcely inspected. In particular, a detailed understanding of the…

Soft Condensed Matter · Physics 2017-03-31 Silvia Varagnolo , Daniele Filippi , Giampaolo Mistura , Matteo Pierno , Mauro Sbragaglia

This study shows that typical pendulum dynamics is far from the simple equation of motion presented in textbooks. A reasonably complete damping model must use nonlinear terms in addition to the common linear viscous expression. In some…

Classical Physics · Physics 2007-05-23 Randall D. Peters

There is a recent interest in studying odd elasticity in soft solids. Current focus has been on simple solids. However, many soft solids are structured and can exhibit nematic elasticity or viscoelasticity. Here we generalize the concept of…

Soft Condensed Matter · Physics 2026-03-19 Zeyang Mou , Haijie Ren , Ding Xu , Igor S. Aranson , Rui Zhang

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

Soft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical study, we develop a minimal model incorporating viscoelasticity,…

The viscoelastic properties of soft jammed solids, such as foams, emulsions, and soft colloids, have been the subject of experiments, with particular interest in the anomalous viscous loss. However, a microscopic theory to explain these…

Soft Condensed Matter · Physics 2024-11-13 Hideyuki Mizuno , Atsushi Ikeda

The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

Viscoelasticity plays a key role in many practical applications and in different reasearch fields, such as in seals, sliding-rolling contacts and crack propagation. In all these contexts, a proper knowledge of the viscoelastic modulus is…

Applied Physics · Physics 2019-04-09 Elena Pierro