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We introduce a strain-energy based nonlinear hyper-elastic formulation to model the material properties of ultrasoft dielectric elastomers over a wide range of elastic properties, prestretch, and thicknesses. We build on the uniaxial Gent…

材料科学 · 物理学 2020-06-24 Asimanshu Das , Kenneth S. Breuer , Varghese Mathai

Objective - Shear wave elastography has enriched ultrasound medical imaging with quantitative measurements of tissue stiffness. However, this method still suffers from some limitations due to viscoelasticity, guiding geometry or static…

软凝聚态物质 · 物理学 2023-12-25 Alexandre Delory , Daniel A. Kiefer , Claire Prada , Fabrice Lemoult

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…

软凝聚态物质 · 物理学 2022-08-31 Sachin Shanbhag , Yogesh M. Joshi

The aim of this paper is to present a modeling for the rheological behavior of simple liquids as a function of the amplitude of the imposed shear stress or strain. The elastic mode theory (Ref. 6) is first generalized to take into account…

软凝聚态物质 · 物理学 2023-02-14 Frédéric Aitken , Ferdinand Volino

We formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin's-Voigt's rheology where the viscosity stress tensor complies with the principle of time-continuous frame-indifference.…

偏微分方程分析 · 数学 2018-06-13 Manuel Friedrich , Martin Kruzik

Many metastable complex fluids such as colloidal glasses and gels show distinct nonlinear viscoelasticity with increasing oscillatory-strain amplitude; the storage modulus decreases monotonically as the strain amplitude increases whereas…

软凝聚态物质 · 物理学 2009-11-11 Kunimasa Miyazaki , Hans M. Wyss , D. A. Weitz , David R. Reichman

Ultrasound-based elasticity imaging is a non-invasive technique for estimating tissue stiffness fields from displacement fields obtained by comparing ultrasound signals before and after compression. While recent deep learning approaches…

医学物理 · 物理学 2026-01-22 Heekyu Kim , Hugon LEe , Minwoo Park , Seunghwa Ryu

Understanding surface mechanics of soft solids, such as soft polymeric gels, is crucial in many engineering processes, such as dynamic wetting and adhesive failure. In these situations, a combination of capillary and elastic forces drives…

软凝聚态物质 · 物理学 2020-12-02 Qin Xu , Lawrence A. Wilen , Katharine E. Jensen , Robert W. Style , Eric R. Dufresne

Simple strain-rate viscoelasticity models of isotropic soft solid are introduced. The constitutive equations account for finite strain, incompressibility, material frame-indifference, nonlinear elasticity, and viscous dissipation. A…

软凝聚态物质 · 物理学 2023-04-06 Harold Berjamin

Visualizing elastic waves by noninvasive imaging has been useful for analyzing the mechanical properties of materials and tissues. However, the maximum wave frequency of elastography has been limited to ~10 kHz due to the finite sensitivity…

应用物理 · 物理学 2022-11-22 Xu Feng , Guo-Yang Li , Seok-Hyun Yun

Viscoelastic stress relaxation is a basic characteristic of soft matter systems such as colloids, gels, and biological networks. Although the Maxwell model of linear viscoelasticity provides a classical description of stress relaxation, the…

软凝聚态物质 · 物理学 2023-04-26 Jake Song , Niels Holten-Andersen , Gareth H. McKinley

Uncertainty propagates through calculations, down to molecular scales to infer microstructural features, and up to macroscopic scales with predictive flow simulations. Here we study uncertainty quantification for sequential (two-step)…

软凝聚态物质 · 物理学 2022-02-08 Piyush K. Singh , Randy H. Ewoldt

Recently the materials possessing structure of molecular and supramolecular matrix are more and more actively studied. They are relative to many polymeric materials of a technological origin, such as rubber, and living biological tissues.…

适应与自组织系统 · 物理学 2013-06-27 A. A. Bedulina , A. V. Kobelev

Rheology aims at quantifying the response of materials to mechanical forcing. However, standard rheometers provide only global macroscopic quantities, such as viscoelastic moduli. They fail to capture the heterogeneous flow of soft…

Hysteretic damping is often modeled by means of linear viscoelastic approaches such as "nearly constant Attenuation (NCQ)" models. These models do not take into account nonlinear effects either on the stiffness or on the damping, which are…

经典物理 · 物理学 2010-07-28 Nicolas Delépine , Luca Lenti , Guy Bonnet , Jean-François Semblat

We present a theoretical framework for the linear and nonlinear visco-elastic properties of reversibly crosslinked networks of semiflexible polymers. In contrast to affine models where network strain couples to the polymer end-to-end…

软凝聚态物质 · 物理学 2016-07-06 Jan Plagge , Andreas Fischer , Claus Heussinger

Rheological properties of chiral active materials have been an important area of research in the recent past, in particular regarding odd terms in their mechanical response. While much progress has been made in the study of odd viscous…

软凝聚态物质 · 物理学 2025-09-08 Debarghya Banerjee , Peter Sollich

The strain-energy formulation of nonlinear elasticity can be extended to the case of significant compression by modulating suitable strain energy terms by a function of relative volume. For isotropic materials this can be accomplished by…

地球物理 · 物理学 2021-03-17 B. L. N. Kennett

We present an analytical study of oscillatory laminar shear flow over a compliant viscoelastic layer on a rigid base. This problem relates to oscillating blood flow in viscoelastic vessels. The deeper motivation for this study, however, is…

流体动力学 · 物理学 2017-05-15 H. O. G. Benschop , W. -P. Breugem

We propose a new material viscoelastic model and mathematical solution to simulate relaxation modulus and viscoelastic response. The model formula of relaxation modulus is extended from sigmoidal function considering nonlinear strain…

材料科学 · 物理学 2016-03-03 Qinwu Xu , Bjorn Engquist