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A theory of the propagation of acoustic waves in a porous medium filled with superfluid solution is developed. The elastic coefficients in the system of equations are expressed in terms of physically measurable quantities. The equations…

Soft Condensed Matter · Physics 2009-11-11 Sh. E. Kekutia , N. D. Chkhaidze

In this work a continuum model for high frequency poroelastic longitudinal waves in hydrogels is presented. A viscoelastic force describing the interaction between the polymer network and the bounded water present in such materials is…

Soft Condensed Matter · Physics 2012-10-15 Piero Chiarelli , Antonio Lanatà , Claudio Domenici , Marina Carbone

Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The…

Classical Physics · Physics 2018-08-29 S. Quiligotti , G. Maugin , F. dell'Isola

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

Fluid Dynamics · Physics 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

In vivo measurement of the mechanical properties of thin-walled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thin-walled artificial soft biomaterials in service are of great challenge and…

Soft Condensed Matter · Physics 2020-09-02 Guo-Yang Li , Qiong He , Robert Mangan , Guoqiang Xu , Chi Mo , Jianwen Luo , Michel Destrade , Yanping Cao

A random distribution of poroelastic spheres in a poroelastic medium obeying Biot's theory is considered. The scattering coefficients of the fast and the slow waves are computed in the low frequency limit using the sealed pore boundary…

Soft Condensed Matter · Physics 2025-01-22 Dossou Gnadjro , Amah Séna d'Almeida

The propagation of an acoustic wave through two-phase porous media with spatial variation in porosity is studied. The evolutionary wave equation is derived, and the propagation of an acoustic wave is numerically analyzed in application to…

Soft Condensed Matter · Physics 2015-03-20 J. I. Osypik , N. I. Pushkina , Ya. M. Zhileikin

We develop and study a 1D model for the acoustic wave propagation with two-phase physics and irreversible elastoplastic deformations in the rock matrix. We address the effect of the P-wave energy attenuation due to pore-scale plastic…

Geophysics · Physics 2018-10-23 Viktoriya Yarushina , Alexander Minakov

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…

Soft Condensed Matter · Physics 2020-12-02 Qin Xu , Lawrence A. Wilen , Katharine E. Jensen , Robert W. Style , Eric R. Dufresne

A refined dynamic finite-strain shell theory for incompressible hyperelastic materials was developed by the authors recently. In this paper, we first derive the associated linearized incremental theory, and then use it to investigate wave…

Biological Physics · Physics 2021-10-11 Xiang Yu , Yibin Fu , Hui-Hui Dai

The problem studied in this paper is to obtain the equations describing sound propagation in a consolidated porous medium filled with superfluid, determine the elastic coefficients, appearing in the equations, in terms of physically…

Soft Condensed Matter · Physics 2007-05-23 Sh. E. Kekutia , N. D. Chkhaidze

When a hydrophilic and deformable porous material is immersed in a bath, it may absorb the solvent and expand by several times its volume, thus forming a highly soft and porous hydrogel. A stress applied on the soft hydrogel surface deforms…

Soft Condensed Matter · Physics 2026-04-30 Caroline Kopecz-Muller , Joshua D Mcgraw , Thomas Salez

Magnetic Resonance Elastography allows noninvasive visualization of tissue mechanical properties by measuring the displacements resulting from applied stresses, and fitting a mechanical model. Poroelasticity naturally lends itself to…

Fluid filled pipes are ubiquitous in both man-made constructions and living organisms. In the latter, biological pipes, such as arteries, have unique properties as their walls are made of soft, incompressible, highly deformable materials.…

Soft Condensed Matter · Physics 2026-03-16 Pierre Chantelot , Alexandre Delory , Claire Prada , Fabrice Lemoult

Poroelastic materials, consisting of a permeable solid matrix infiltrated with fluid, are ubiquitous in natural and engineering contexts. In poroelastic polymer solids, the elastic matrix swells to equilibrium when immersed in a solvent…

Soft Condensed Matter · Physics 2026-05-13 Chenzhuo Li , Tom Beyeler , Marc Antonio Chalhoub , John M. Kolinski

We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes…

We consider a linear system of differential equations describing a joint motion of elastic porous body and fluid occupying porous space. The rigorous justification, under various conditions imposed on physical parameters, is fulfilled for…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek Meirmanov

We investigate the elastic wave propagation in various hyperelastic materials which subjected to simple-shear deformation. Two compressible types of three conventional hyperelastic models are considered. We found pure elastic wave modes can…

Soft Condensed Matter · Physics 2017-04-13 Linli Chen , Zheng Chang , Taiyan Qin

Acoustic fields scattered by poroelastic materials contain key information about the materials' pore structure and elastic properties. Therefore, such materials are often characterised with inverse methods that use acoustic measurements.…

Computational Physics · Physics 2019-05-22 Matti Niskanen , Olivier Dazel , Jean-Philippe Groby , Aroune Duclos , Timo Lähivaara
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