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In this work we study the rheological features of yield stress materials that exhibit non-homogeneous steady flows and that are subjected to an additional mechanical noise. Using a mesoscale elasto-plastic model accounting for a viscosity…

Soft Condensed Matter · Physics 2026-01-08 Magali Le Goff , Eric Bertin , Kirsten Martens

Mechanical signaling plays a key role in biological processes like embryo development and cancer growth. One prominent way to probe mechanical properties of tissues is to study their response to externally applied forces. Using a…

Soft Condensed Matter · Physics 2017-04-18 D. A. Matoz-Fernandez , Elisabeth Agoritsas , Jean-Louis Barrat , Eric Bertin , Kirsten Martens

We investigate composite biopolymer networks composed of co-polymerized fibrin and gelatin networks and perform rheological measurements over a broad parameter space including strain amplitudes that go beyond the linear response regime. One…

Soft Condensed Matter · Physics 2025-08-14 Wayan A. Fontaine-Seiler , Gavin J. Donley , Emanuela Del Gado , Daniel L. Blair

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

Using molecular dynamics simulations, we determine the linear and nonlinear viscoelastic properties of a model polymer melt in the unentangled regime. Several approaches are compared for the computation of linear moduli, including…

Materials Science · Physics 2007-05-23 Mihail Vladkov , J. -L. Barrat

Identification and parameterisation of constitutive models can be a challenging task in rheology. We investigate the use of Random Forest (RF) regression to estimate viscoelastic constitutive model parameters using Large Amplitude…

Soft Condensed Matter · Physics 2023-12-22 TP John , M Mowbray , A Alalwyat , M Vousvoukis , P Martin , A Kowalski , CP Fonte

Microorganisms inhabit viscoelastic environments, where their locomotion can deform polymers and trigger local complex viscoelastic responses. However, a systematic approach to quantify such responses remains lacking. Here, we propose a…

Soft Condensed Matter · Physics 2025-12-09 Kai Qi , Qingzhi Zou , Ignacio Pagonabarraga

This article offers a reappraisal of Fung's method for quasilinear viscoelasticity. It is shown that a number of negative features exhibited in other works, commonly attributed to the Fung approach, are merely a consequence of the way it…

Classical Physics · Physics 2015-06-18 Riccardo De Pascalis , I. David Abrahams , William J. Parnell

The yielding of foams, concentrated emulsions, pastes and other soft materials under applied strain is often characterized by measuring the complex shear modulus as a function of strain amplitude at low frequency. Results obtained for…

Soft Condensed Matter · Physics 2007-05-23 Reinhard Hohler , Sylvie Cohen-Addad , Vincent Labiausse

We consider a Kelvin-Voigt model for viscoelastic second-grade materials, where the elastic and the viscous stress tensor both satisfy frame indifference. Using a rigidity estimate by [Ciarlet-Mardare '15], existence of weak solutions is…

Analysis of PDEs · Mathematics 2025-02-05 Lennart Machill

We investigate the inverse problem of determining nonlinear elastic material parameters from boundary stress measurements corresponding to prescribed boundary displacements. The material law is described by a nonlinear, space-independent…

Analysis of PDEs · Mathematics 2026-01-23 David Johansson , Yavar Kian

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

We suggest a scalar model for deformation and flow of an amorphous material such as a foam or an emulsion. To describe elastic, plastic and viscous behaviours, we use three scalar variables: elastic deformation, plastic deformation rate and…

Soft Condensed Matter · Physics 2009-11-11 Philippe Marmottant , François Graner

Viscoelastic liquids are characterized by a finite static viscosity and a zero yield stress, whereas soft solids have an infinite viscosity and a non-zero yield stress. The rheological nature of viscoelastic materials has long been a…

Soft Condensed Matter · Physics 2021-09-21 F. Loosli , M. Najm , R. Chan , E. Oikonomou , A. Grados , M. Receveur , J. -F. Berret

Colloidal gels form through the sol-gel transition of attractive particle suspensions, where local aggregation leads to a space-spanning network with solid-like properties. Their microstructure and mechanical properties are highly sensitive…

Soft Condensed Matter · Physics 2026-03-16 Wilbert J. Smit , Thomas Gibaud , Sébastien Manneville , Thibaut Divoux

The rheological properties of soft materials often exhibit surprisingly universal linear and non-linear features. Here we show that these properties can be unified by considering the effect of the strain-rate amplitude on the structural…

Soft Condensed Matter · Physics 2007-06-12 Hans M. Wyss , Kunimasa Miyazaki , Johan Mattsson , Zhibing Hu , David R. Reichman , David A. Weitz

In this research study, a numerical tool, which is based on a version of Slender Body theory, has been used and also modified to simulate the mechanical behaviour of single- and double-cross-linked biopolymer networks (hydrogel) under…

Soft Condensed Matter · Physics 2026-05-06 Nasrollah Hajaliakbari , David Head , Oliver Harlen

Mechanical stress within biological tissue can indicate an anomaly, or can be vital of its function, such as stresses in arteries. Measuring these stresses in tissue is challenging due to the complex, and often unknown, nature of the…

Soft Condensed Matter · Physics 2024-02-27 Harold Berjamin , Artur L. Gower

Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distribution of time-scales present in their complex internal structure. A promising tool to accurately describe the rheological behaviour of soft…

Soft Condensed Matter · Physics 2020-07-17 Alessandra Bonfanti , Jonathan Louis Kaplan , Guillaume Charras , Alexandre J Kabla

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