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Soft tissues are complex media, they display a wide range of mechanical properties such as anisotropy and non-linear stress-strain behaviour. They undergo large deformations and they exhibit a time-dependent mechanical behaviour, i.e. they…

Soft Condensed Matter · Physics 2021-08-19 Michele Righi , Valentina Balbi

We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of dissipation and of…

Biological Physics · Physics 2008-12-09 Michel Destrade , Ray W. Ogden , Giuseppe Saccomandi

To produce sounds, we adjust the tension of our vocal folds to shape their properties and control the pitch. This efficient mechanism offers inspiration for designing reconfigurable materials and adaptable soft robots. However,…

Soft Condensed Matter · Physics 2025-06-18 Alexandre Delory , Daniel A. Kiefer , Maxime Lanoy , Antonin Eddi , Claire Prada , Fabrice Lemoult

The formation of shear shock waves in the brain has been proposed as one of the plausible explanations for deep intracranial injuries. In fact, such singular solutions emerge naturally in soft viscoelastic tissues under dynamic loading…

Soft Condensed Matter · Physics 2025-02-05 Harold Berjamin

Experiments have shown that shear waves induced in brain tissue can develop into shock waves, thus providing a possible explanation of deep traumatic brain injuries. Here, we study the formation of shock waves in soft viscoelastic solids…

Soft Condensed Matter · Physics 2022-02-08 Harold Berjamin , Chockalingam Senthilnathan

We present a theoretical derivation of acoustic phonon damping in amorphous solids based on the nonaffine response formalism for the viscoelasticity of amorphous solids. The analytical theory takes into account the nonaffine displacements…

Soft Condensed Matter · Physics 2022-04-20 Matteo Baggioli , Alessio Zaccone

Elastic wave propagation provides a noninvasive way to probe granular materials. The discrete element method using particle configuration as input, allows a micromechanical interpretation on the acoustic response of a given granular system.…

Geophysics · Physics 2018-08-28 Hongyang Cheng , Stefan Luding , Kuniyasu Saitoh , Vanessa Magnanimo

Originating in the field of biomechanics, Fung's model of quasi-linear viscoelasticity (QLV) is one of the most popular constitutive theories employed to compute the time-dependent relationship between stress and deformation in soft solids.…

Soft Condensed Matter · Physics 2021-04-26 Harold Berjamin , Michel Destrade , William J. Parnell

We analyse the influence of pre-stress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic half-space that is in contact with a viscous fluid extending to infinity in the adjoining half-space. One…

Fluid Dynamics · Physics 2007-11-29 Mélanie Otténio , Michel Destrade , Raymond W. Ogden

The viscoelastic properties of soft jammed solids, such as foams, emulsions, and soft colloids, have been the subject of experiments, with particular interest in the anomalous viscous loss. However, a microscopic theory to explain these…

Soft Condensed Matter · Physics 2024-11-13 Hideyuki Mizuno , Atsushi Ikeda

Classical acoustoelasticity couples small-amplitude elastic wave propagation to an infinitesimal pre-deformation, in order to reveal and evaluate non-destructively third-order elasticity constants. Here, we see that acoustoelasticity can be…

Soft Condensed Matter · Physics 2013-02-20 Zaki Abiza , Michel Destrade , Ray W. Ogden

This study investigates the effect of a Maxwellian fluid on the propagation of waves in poroelastic media. Based on a fractional derivative stress-strain relation, a viscous dissipation function is obtained to measure the viscoelastic…

Geophysics · Physics 2019-12-23 Weitao Sun , Fansheng Xiong

Nematic liquid crystals exhibit both crystal-like and fluid-like features. In particular, the propagation of an acoustic wave shows an unexpected occurrence of some of the solid-like features at the hydrodynamic level, namely, the…

Soft Condensed Matter · Physics 2017-01-04 Stefano S. Turzi

An acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from viscoelastic equations of motion. It is assumed that the relaxation moduli are completely monotonic. The acoustic equation differs significantly…

Mathematical Physics · Physics 2014-01-31 Andrzej Hanyga

In this paper, we consider the wave propagations of viscoelastic materials, which has been derived by Taiping-Liu to approximate the viscoelastic dynamic system with fading memory (see [T.P.Liu(1988)\cite{LiuTP}]) by the Chapman-Enskog…

Analysis of PDEs · Mathematics 2025-09-12 Zhenhua Guo , Meichen Hou , Guiqin Qiu , Lingda Xu

Soft electroactive materials can undergo large deformation subjected to either mechanical or electrical stimulus, and hence they can be excellent candidates for designing extremely flexible and adaptive structures and devices. This paper…

Soft Condensed Matter · Physics 2021-07-26 Bin Wu , Weijian Zhou , Ronghao Bao , Weiqiu Chen

Shear-wave elastography (SWE) measures shear-wave speed (SWS), which is related to the underlying shear modulus of soft tissue. SWE methods generally assume that soft tissue viscoelasticity is independent of mechanical loading, however,…

Medical Physics · Physics 2022-04-21 Bhaskara R. Chintada , Richard Rau , Orcun Goksel

We introduce phononic box crystals, namely arrays of adjoined perforated boxes, as a three-dimensional prototype for an unusual class of subwavelength metamaterials based on directly coupling resonating elements. In this case, when the…

Applied Physics · Physics 2018-08-28 Alice L. Vanel , Richard V. Craster , Ory Schnitzer

Making use of the poroelastic theory for hydrated polymeric matrices, the ultrasound (US) propagation in a gel medium filled by spherical cells is studied . The model describes the connection between the poroelastic structure of living…

Soft Condensed Matter · Physics 2012-10-10 Piero Chiarelli , Bruna Vinci , Antonio Lanatá , Clara Lagomarsini , Simone Chiarelli

Shear wave elastography (SWE) is a promising imaging modality for mechanical characterization of tissues, offering biomarkers with potential for early and precise diagnosis. While various methods have been developed to extract mechanical…

Soft Condensed Matter · Physics 2025-07-01 Yuxuan Jiang , Guo-Yang Li , Zhaoyi Zhang , Shiyu Ma , Yanping Cao , Seok-Hyun Yun
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