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We develop a molecularly motivated framework connecting large-amplitude oscillatory shear (LAOS) nonlinearities in entangled polymers to frequency-dependent nonaffine relaxation in disordered solids. The central idea is that the first…

Soft Condensed Matter · Physics 2026-05-25 Dario Nichetti , Alessio Zaccone

Large Amplitude Oscillatory Shear (LAOS) is a key technique for characterizing nonlinear viscoelasticity in a wide range of materials. Most research to date has focused on the shear stress response to an oscillatory strain input. However,…

Soft Condensed Matter · Physics 2026-04-14 Nicholas King , Eugene Pashkovski , Reid Patterson , Paige Rockwell , Gareth H. McKinley

The frequency dependence of third-harmonic medium amplitude oscillatory shear (MAOS) modulus $G_{33}^{*}(\omega)$ provides insight into material behavior and microstructure in the asymptotically nonlinear regime. Motivated by the difficulty…

Soft Condensed Matter · Physics 2022-08-31 Sachin Shanbhag , Yogesh M. Joshi

An experimental protocol is developed to directly measure the new material functions revealed by medium amplitude parallel superposition (MAPS) rheology. This experimental protocol measures the medium amplitude response of a material to a…

Soft Condensed Matter · Physics 2022-02-10 Kyle R. Lennon , Michela Geri , Gareth H. McKinley , James W. Swan

A new mathematical representation for nonlinear viscoelasticity is presented based on application of the Volterra series expansion to the general nonlinear relationship between shear stress and shear strain history. This theoretical and…

Soft Condensed Matter · Physics 2022-02-11 Kyle R. Lennon , Gareth H. McKinley , James W. Swan

We investigate the nonlinear viscoelastic behavior of a colloidal dispersion at the critical gel state using large amplitude oscillatory shear (LAOS) rheology. The colloidal gel at the critical point is subjected to oscillatory shear flow…

Soft Condensed Matter · Physics 2023-02-15 Khushboo Suman , Sachin Shanbhag , Yogesh M. Joshi

We provide the first characterization of the nonlinear and time dependent rheologic response of viscoelastic bottom-up holographic models. More precisely, we perform oscillatory shear tests in holographic massive gravity theories with…

High Energy Physics - Theory · Physics 2020-02-28 Matteo Baggioli , Sebastian Grieninger , Hesam Soltanpanahi

We introduce a comprehensive scheme to physically quantify both viscous and elastic rheological nonlinearities simultaneously, using an imposed large amplitude oscillatory shear (LAOS) strain. The new framework naturally lends a physical…

Soft Condensed Matter · Physics 2008-11-18 Randy H. Ewoldt , Gareth H. McKinley , A. E. Hosoi

Anisotropic shear relaxation is an interesting but rarely discussed issue in polymer dynamics under confinement [Abberton et al., Macromolecules, 48, 7631, 2015]. According to the earlier study of bead spring simulations for an unentangled…

Soft Condensed Matter · Physics 2024-06-17 Yuichi Masubuchi

We present an extensive set of simulation results for the stress relaxation in equilibrium and step-strained bead-spring polymer melts. The data allow us to explore the chain dynamics and the shear relaxation modulus, $G(t)$, into the…

Soft Condensed Matter · Physics 2015-05-18 Ji Xuan Hou , Carsten Svaneborg , Ralf Everaers , Gary S. Grest

We investigate theoretically shear banding in large amplitude oscillatory shear (LAOS) of polymers and wormlike micelles. In LAOStrain we find banding at low frequencies and sufficiently high strain rate amplitudes in fluids for which the…

Soft Condensed Matter · Physics 2016-11-03 Katherine A. Carter , John M. Girkin , Suzanne M. Fielding

Using molecular dynamics simulations, we study dynamics of a model polymer melt composed of short chains with bead number N=10 in supercooled states. In quiescent conditions, the stress relaxation function $G(t)$ is calculated, which…

Soft Condensed Matter · Physics 2009-11-07 Ryoichi Yamamoto , Akira Onuki

Optical tweezers microrheology (OTM) offers a powerful approach to probe the nonlinear response of complex soft matter systems, such as networks of entangled polymers, over wide-ranging spatiotemporal scales. OTM can also uniquely…

Soft Condensed Matter · Physics 2019-07-24 Manas Khan , Kathryn Regan , Rae M. Robertson-Anderson

We study model near-critical polymer gelling systems made of gluten proteins dispersions stabilized at different distances from the gel point. We impose different shear rates and follow the time evolution of the stress. For sufficiently…

Soft Condensed Matter · Physics 2024-07-18 Ameur Louhichi , Marie-Hélène Morel , Laurence Ramos , Amélie Banc

Large amplitude oscillatory shear (LAOS) has been widely applied for performing rheological analysis of complex fluids, and the Fourier transform (FT) rheology is considered one of the mainstays in LAOS since FT is an essential mathematic…

Fluid Dynamics · Physics 2023-08-11 Pengguang Wang , Jiatong Xu , Ziyu Zhou , Hongbin Zhang

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these…

Soft Condensed Matter · Physics 2015-05-13 S. Fugmann , I. M. Sokolov

Molecular dynamics simulations are performed for a polymer melt composed of short chains in quiescent and sheared conditions. The stress relaxation function $G(t)$ exhibits a stretched exponential form in a relatively early stage and…

Soft Condensed Matter · Physics 2009-10-31 Ryoichi Yamamoto , Akira Onuki

A general framework for Maxwell-Oldroyd type differential constitutive models is examined, in which an unspecified nonlinear function of the stress and rate-of-deformation tensors is incorporated into the well-known corotational version of…

Soft Condensed Matter · Physics 2022-02-10 Kyle R. Lennon , Gareth H. McKinley , James W. Swan

The large amplitude oscillatory shear (LAOS) has been extensively studied for understanding the rheological responses of yield stress fluids. However, the employed methodology for determining the yield stress remains uncertain albeit the…

Fluid Dynamics · Physics 2023-12-15 Pengguang Wang , Jiatong Xu , Hongbin Zhang

The dynamic rheology of a polymer melt composed of short chains with ten beads between rapidly oscillating plates is investigated for various oscillation frequencies by using the hybrid simulation of the molecular dynamics and computational…

Soft Condensed Matter · Physics 2014-01-08 Shugo Yasuda , Ryoichi Yamamoto
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