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In the one-dimensional isothermal case, we introduce a simple model of nonlinear viscoelasticity within the Rational Extended Thermodynamics (RET) framework. The differential system is determined by the universal principles of RET,…

Soft Condensed Matter · Physics 2024-01-29 Tommaso Ruggeri

The deformations of flagella are important in the motility of single- and multi-flagellated bacteria. Existing numerical methods have treated flagella as extensible filaments with a large extensional modulus, resulting in a stiff numerical…

Fluid Dynamics · Physics 2020-07-15 Mehdi Jabbarzadeh , Henry C. Fu

We propose a novel approach to the linear viscoelastic problem of shear-deformable geometrically exact beams. The generalized Maxwell model for one-dimensional solids is here efficiently extended to the case of arbitrarily curved beams…

Numerical Analysis · Mathematics 2023-07-20 Giulio Ferri , Diego Ignesti , Enzo Marino

We are concerned with the linearized, isotropic and homogeneous elastic scattering problem by (possibly many) small rigid obstacles of arbitrary Lipschitz regular shapes in 3D. Based on the Foldy-Lax approximation, valid under a sufficient…

Analysis of PDEs · Mathematics 2016-10-20 Fadhel Al-Musallam , Durga Prasad Challa , Mourad Sini

We report on a Digital Image Correlation-based technique for the detection of in-plane elastic waves propagating in structural lattices. The experimental characterization of wave motion in lattice structures is currently of great interest…

Classical Physics · Physics 2016-09-29 Marshall Schaeffer , Giuseppe Trainiti , Massimo Ruzzene

Robot-assisted surgery has advantages compared to conventional laparoscopic procedures, e.g., precise movement of the surgical instruments, improved dexterity, and high-resolution visualization of the surgical field. However, mechanical…

Image and Video Processing · Electrical Eng. & Systems 2025-01-28 Maximilian Neidhardt , Robin Mieling , Sarah Latus , Martin Fischer , Tobias Maurer , Alexander Schlaefer

Shear transformations (i.e., localised rearrangements of particles resulting in the shear deformation of a small region of the sample) are the building blocks of mesoscale models for the flow of disordered solids. In order to compute the…

Soft Condensed Matter · Physics 2015-06-24 Alexandre Nicolas , Francesco Puosi , Hideyuki Mizuno , Jean-Louis Barrat

Diffusing Wave Spectroscopy (DWS) is an extension of standard dynamic light scattering (DLS), applied to soft materials that are turbid or opaque. The propagation of light is modeled using light diffusion, characterized by a light diffusion…

Soft Condensed Matter · Physics 2025-12-15 Manuel Helfer , Chi Zhang , Frank Scheffold

It is well known in metamaterials that local resonance and hybridization phenomena dramatically influence the shape of dispersion curves; the metasurface created by a cluster of resonators, subwavelength rods, atop an elastic surface being…

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 a model-based iterative method to obtain shear modulus images of tissue using magnetic resonance elastography. The method jointly finds the displacement field that best fits multifrequency tissue displacement data and the…

Signal Processing · Electrical Eng. & Systems 2021-11-25 Shahed Mohammed , Mohammad Honarvar , Qi Zeng , Hoda Hashemi , Robert Rohling , Piotr Kozlowski , Septimiu Salcudean

We consider the inverse problem of finding unknown elastic parameters from internal measurements of displacement fields for tissues. The measurements are made on the entirety of a smooth domain. Since tissues can be modeled as…

Analysis of PDEs · Mathematics 2014-09-19 Habib Ammari , Alden Waters , Hai Zhang

A time domain system of equations is proposed to model elastic wave propagation in an unbounded two-dimensional anisotropic solid using perfectly matched layer (PML). Starting from a system of first-order frequency domain stress-velocity…

Computational Physics · Physics 2013-12-16 Hisham Assi , Richard S. C. Cobbold

Magnetic Resonance Elastography (MRE) has become an essential tool in assessing the mechanical properties of soft tissues in-vivo, prompting significant progress in new inversion algorithms. This creates a need for a benchmarking framework…

Numerical Analysis · Mathematics 2026-04-06 Yashasvi Verma , Jakob Schattenfroh , Ingolf Sack , Silvia Budday , Paul Steinmann , Luca Heltai

Elastographic imaging is a widely used technique which can in principle be implemented on top of every imaging modality. In elastography, the specimen is exposed to a force causing local displacements in the probe, and imaging is performed…

Optimization and Control · Mathematics 2014-07-28 Thomas Glatz , Otmar Scherzer , Thomas Widlak

The hydroelastic response of free floating viscoelastic covers is measured using Faraday waves on the surface of a vertically oscillated fluid layer. We systematically vary the thickness $d$ of the covers to investigate its effect on the…

Fluid Dynamics · Physics 2026-05-19 Hanna Pot , Bram Christiaens , Willem van de Water

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

We have developed a novel scanning probe-based methodology to study cell biomechanics. The time dependence of the force exerted by the cell surface on a scanning probe at constant local deformation has been used to extract local…

Biological Physics · Physics 2009-04-20 Susana Moreno-Flores , Rafael Benitez , Maria dM Vivanco , Jose Luis Toca-Herrera

The present study investigates novelties brought about into the classic Biot's theory of propagation of elastic waves in a fluid-saturated porous solid by inclusion of non-Newtonian effects that are important, for example, for hydrocarbons.…

Geophysics · Physics 2007-05-23 D. Tsiklauri , I. Beresnev

We conduct experiments with flexible swimmers to address the impact of fluid viscoelasticity on their locomotion. The swimmers are composed of a magnetic head actuated in rotation by a frequency-controlled magnetic field and a flexible tail…

Fluid Dynamics · Physics 2013-03-19 Julian Espinosa-Garcia , Eric Lauga , Roberto Zenit