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In [Bonito et al., J. Comput. Phys. (2022)], a local discontinuous Galerkin method was proposed for approximating the large bending of prestrained plates, and in [Bonito et al., IMA J. Numer. Anal. (2023)] the numerical properties of this…

Numerical Analysis · Mathematics 2024-10-30 Andrea Bonito , Diane Guignard , Angelique Morvant

As device miniaturization approaches the atomic limit, it becomes highly desirable to exploit novel paradigms for tailoring electronic structures and carrier dynamics in materials. Elastic strain can in principle be applied to achieve…

Materials Science · Physics 2013-07-10 Xuewen Fu , Cong Su , Qiang Fu , Xinli Zhu , Rui Zhu , Chuanpu Liu , Jun Xu , Ji Feng , Ju Li , Dapeng Yu

Linearly polarized elastic waves propagating in a linear path have been extensively explored in numerous applications from biomedical imaging to structural health monitoring. However, elastic waves propagating in a circularly polarized…

Applied Physics · Physics 2026-03-20 Mohamed Roshdy , Osama R. Bilal

Multiple antenna techniques, that allow energy beamforming, have been looked upon as a possible candidate for increasing the efficiency of the transfer process between the energy transmitter (ET) and the energy receiver (ER) in wireless…

Signal Processing · Electrical Eng. & Systems 2017-12-12 Samith Abeywickrama , Tharaka Samarasinghe , Chin Keong Ho

A theory is presented showing that cloaking of objects from antiplane elastic waves can be achieved by elastic pre-stress of a neo-Hookean nonlinear elastic material. This approach would appear to eliminate the requirement of metamaterials…

Classical Physics · Physics 2012-03-16 William J. Parnell

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

Soft materials such as rubbers, silicones, gels and biological tissues have a nonlinear response to large deformations, a phenomenon which in principle can be captured by hyperelastic models. The suitability of a candidate hyperelastic…

Soft Condensed Matter · Physics 2024-03-05 Afshin Anssari-Benam , Andrea Bucchi , Michel Destrade , Giuseppe Saccomandi

Embedding magnetic colloidal particles in an elastic polymer matrix leads to smart soft materials that can reversibly be addressed from outside by external magnetic fields. We discover a pronounced nonlinear superelastic stress-strain…

Soft Condensed Matter · Physics 2015-10-28 Peet Cremer , Hartmut Löwen , Andreas M. Menzel

From a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations (PDEs). These coefficients may fall outside the assumptions of classical…

Numerical Analysis · Mathematics 2026-05-22 Eric T. Chung , Patrick Ciarlet , Xingguang Jin , Changqing Ye

A mathematical model for an elastoplastic continuum subject to large strains is presented. The inelastic response is modeled within the frame of rate-dependent gradient plasticity for nonsimple materials. Heat diffuses through the continuum…

Analysis of PDEs · Mathematics 2018-04-17 Tomas Roubicek , Ulisse Stefanelli

Though a number of formulations have been proposed for phase--field models for hydraulic fracture, the definition of the degraded poroelastic strain energy varies from one model to another. This study explores previously proposed forms of…

Numerical Analysis · Mathematics 2023-10-17 Tao You , Keita Yoshioka

Finite plasticity theories are still a subject of controversy and lively discussions. Among the approaches to finite elastoplasticity two became especially popular. The first, implemented in the commercial finite element codes, is based on…

Materials Science · Physics 2015-06-04 Konstantin Volokh

The focus of the article is on the analysis of effective elastic properties of planar Solid Oxide Fuell Cell (SOFC) devices. An ideal periodic multi-layered composite (SOFC-like) reproducing the overall properties of multi-layer SOFC…

Materials Science · Physics 2014-04-30 A. Bacigalupo , L. Morini , A. Piccolroaz

Elastic wave speeds are fundamental in geomechanics and have historically been described by an analytic formula that assumes linearly elastic solid medium. Empirical relations stemming from this assumption were used to determine nonlinearly…

Classical Physics · Physics 2023-12-05 David M. Riley , Itai Einav , François Guillard

There are great demands to design functional devices with isotropic materials, however the transformation method usually leads to anisotropic material parameters difficult to be realized in practice. In this letter, we derive the isotropic…

Classical Physics · Physics 2011-03-29 Zheng Chang , Jin Hu , Gengkai Hu , Ran Tao , Yue Wang

The computational homogenization of hyperelastic solids in the geometrically nonlinear context has yet to be treated with sufficient efficiency in order to allow for real-world applications in true multiscale settings. This problem is…

Computational Engineering, Finance, and Science · Computer Science 2019-05-29 Oliver Kunc , Felix Fritzen

Layered media can be used as acoustic filters, allowing only waves of certain frequencies to propagate. In soft magneto-active laminates, the shear wave band gaps (i.e., the frequency intervals for which shear waves cannot propagate) can be…

Mathematical Physics · Physics 2025-08-22 Harold Berjamin , Stephan Rudykh

This work presents a hyper-viscoelastic model based on the Hencky-logarithmic strain tensor to model the response of a Tire Derived Material (TDM) undergoing moderately large deformations. TDM is a composite made by cold forging a mix of…

Classical Analysis and ODEs · Mathematics 2016-01-21 Giuseppe Montella , Sanjay Govindjee , Patrizio Neff

The application of strain to 2D materials allows manipulating the electronic, magnetic, and thermoelectric properties. These physical properties are sensitive to slight variations induced by tensile and compressive strain and to the…

Materials Science · Physics 2023-06-14 J. W. González

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