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We derive new analytical solutions for the non-affine Johnson-Segalman/Gordon-Schowalter (JS/GS) constitutive equation with a general relaxation kernel in medium-amplitude oscillatory shear (MAOS) deformation. The results show time-strain…

Soft Condensed Matter · Physics 2020-12-02 Nabil Ramlawi , N. Ashwin Bharadwaj , Randy H. Ewoldt

Over the last half-century, linear viscoelastic models for crack growth in soft solids have flourished but their predictions have rarely been compared to experiments. In fact, most available models are either very approximate or cast in…

Soft Condensed Matter · Physics 2024-07-02 Etienne Barthel

A comparison is made between the nonlinear rheological response of bulk metallic glass formers and of colloidal dispersions. Stress-strain curves measured after switch-on of constant deformation rates are analyzed quantitatively using a…

Understanding the biomechanics of the heart in health and disease plays an important role in the diagnosis and treatment of heart failure. The use of computational biomechanical models for therapy assessment is paving the way for…

We study the nonlinear behaviors of mass-spring systems damped by dry friction using simulation by a nonlinear LC circuit damped by anti-parallel diodes. We show that the differential equation for the electric oscillator is equivalent to…

Classical Physics · Physics 2019-02-20 Qian Xu , Wenkai Fan , Sihui Wang , Hongjian Jiang

The aim of this paper is to assess the effectiveness of nonlinear viscoelastic damping in controlling base-excited vibrations. Specifically, the focus is on investigating the robustness of the nonlinear base isolation performance in…

Applied Physics · Physics 2021-03-17 N. Menga , F. Bottiglione , G. Carbone

We use computer simulations to analyse the yielding transition during large-amplitude oscillatory shear of a simple model for soft jammed solids. Simultaneous analysis of global mechanical response and particle-scale motion demonstrates…

Soft Condensed Matter · Physics 2016-09-07 Takeshi Kawasaki , Ludovic Berthier

Explicit expressions for the behavior of statistically isotropic composites with viscoelastic matrices and linear elastic inclusions are determined by application of the correspondence principle. The behavior of the matrix is linear in…

Materials Science · Physics 2007-05-23 Gal deBotton , Limor Tevet-Deree

We report the mechanical response of a model nanocomposite system of poly(styrene) (PS)-silica to large-amplitude oscillatory shear deformations. Nonlinear behavior of PS nanocomposites is discussed with the changes in particle dispersion…

Soft Condensed Matter · Physics 2013-01-14 Erkan Senses , Pinar Akcora

Motivated by recent experimental studies of rheological hysteresis in soft glassy materials, we study numerically strain rate sweeps in simple yield stress fluids and viscosity bifurcating yield stress fluids. Our simulations of downward…

Soft Condensed Matter · Physics 2017-02-28 Rangarajan Radhakrishnan , Thibaut Divoux , Sébastien Manneville , Suzanne M. Fielding

Hyper-viscoelastic polymers have multiple areas of application including aerospace, biomedicine, and automotive. Their mechanical responses are therefore extremely important to understand, particularly because they exhibit strong rate and…

Soft Condensed Matter · Physics 2018-08-01 Akash Trivedi , Clive Siviour

We use a combination of original light scattering techniques and particles with unique optical properties to investigate the behavior of suspensions of attractive colloids under gravitational stress, following over time the concentration…

Soft Condensed Matter · Physics 2015-05-27 Giovanni Brambilla , Stefano Buzzaccaro , R. Piazza , Ludovic Berthier , Luca Cipelletti

Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadamard instability indicates the catastrophic growth of…

Analysis of PDEs · Mathematics 2017-03-09 Theodoros Katsaounis , Julien Olivier , Athanasios E. Tzavaras

We derive a continuum-level plasticity model for polycrystalline materials in the high energy density regime, based on a single dislocation density and single mobility mechanism, with an evolution model for the dislocation density. The…

The effective dynamic properties of specific periodic structures involving rubber-like materials can be adjusted by pre-strain, thus facilitating the design of custom acoustic filters. While nonlinear viscoelastic behaviour is one of the…

Soft Condensed Matter · Physics 2022-03-01 Harold Berjamin , Riccardo De Pascalis

Rock geophysical properties are widely reported to exhibit non-linear behaviours under low-stress conditions (below 10-20 MPa) before transitioning to the linear elastic stage, primarily due to the closure of microcracks and grain…

Geophysics · Physics 2025-09-16 Rui Li , Yi Yang , Wenbo Zhan , Jianhui Yang , Yingfang Zhou

A lattice of elastic rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental displacements. Using quasi-static homogenization theory, this lattice can…

Classical Physics · Physics 2020-01-08 G. Bordiga , L. Cabras , A. Piccolroaz , D. Bigoni

Macroscale chains have been proposed to give insight into the physics of molecular polymer systems. Nevertheless, understanding the rheological response of systems of quasi-one-dimensional semiflexible materials, such as bead-chain…

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

Soft Condensed Matter · Physics 2018-03-14 K. A. Mokhireva , A. L. Svistkov

We show that the correct dual hydrodynamic description of homogeneous holographic models with spontaneously broken translations must include the so-called "strain pressure" -- a novel transport coefficient proposed recently. Taking this new…

High Energy Physics - Theory · Physics 2020-12-29 Martin Ammon , Matteo Baggioli , Seán Gray , Sebastian Grieninger , Akash Jain
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