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We consider in this paper the general properties of laminates designed to be isotropic in extension and in bending and with a coupling between the in- and out-of plane responses. In particular, we analyze the mathematical properties of the…

经典物理 · 物理学 2024-06-06 Paolo Vannucci

Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic-half space, which is subject to normal and uniaxial tangential surface tractions that - in the case of elastic decoupling - correspond to…

材料科学 · 物理学 2023-10-13 Emanuel Willert

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

流体动力学 · 物理学 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

Various adhesion mechanisms that have been understood in the field of synthetic adhesives are described and these are linked with situations relevant to fouling issues. The review mainly deals with mechanical aspects of adhesion phenomena,…

软凝聚态物质 · 物理学 2016-04-13 Cyprien Gay

Transient Elastography enables detection and characterization of tissue abnormalities. In this paper we assume that the displacements are modeled by linear isotropic elasticity system and the tissue displacement has been obtained by the…

偏微分方程分析 · 数学 2013-08-08 Ru-Yu Lai

Solid interfaces have intrinsic elasticity. However, in most experiments, this is obscured by bulk stresses. Through microscopic observations of the contact-line geometry of a partially wetting droplet on an anisotropically stretched…

软凝聚态物质 · 物理学 2017-11-29 Qin Xu , Robert W. Style , Eric R. Dufresne

An extremal model for the plasticity of amorphous materials is studied in a simple two-dimensional anti-plane geometry. The steady-state is analyzed through numerical simulations. Long-range spatial and temporal correlations in local slip…

无序系统与神经网络 · 物理学 2009-11-07 Jean-Christophe Baret , Damien Vandembroucq , Stephane Roux

We study theoretically the profile evolution of a thin viscoelastic film supported onto a no-slip flat substrate. Due to the nonconstant initial curvature at the free surface, there is a flow driven by Laplace pressure and mediated by…

软凝聚态物质 · 物理学 2014-05-16 Michael Benzaquen , Thomas Salez , Elie Raphaël

I study numerically the problem of delamination of a thin film elastically attached to a rigid substrate. A nominally flat elastic thin film is modeled using a two-dimensional triangular mesh. Both compression and bending rigidities are…

材料科学 · 物理学 2009-11-11 E. A. Jagla

Patterned surfaces with large effective slip lengths, such as super-hydrophobic surfaces containing trapped gas bubbles, have the potential to greatly enhance electrokinetic phenomena. Existing theories assume either homogeneous flat…

流体动力学 · 物理学 2015-05-13 Supreet S. Bahga , Olga I. Vinogradova , Martin Z. Bazant

A hydrostatically stressed soft elastic film circumvents the imposed constraint by undergoing a morphological instability, the wavelength of which is dictated by the minimization of the surface and the elastic strain energies of the film.…

软凝聚态物质 · 物理学 2015-08-07 Manoj K. Chaudhury , Aditi Chakrabarti , Animangsu Ghatak

We present a theory that combines the framework of irreversible thermodynamics with modified integral theorems to model arbitrarily curved and deforming membranes immersed in bulk fluid solutions. We study the coupling between the mechanics…

软凝聚态物质 · 物理学 2025-09-29 Ahmad M. Alkadri , Kranthi K. Mandadapu

This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition of the surface deformation gradient. The kinematics of this…

经典物理 · 物理学 2019-09-12 Roger A. Sauer , Reza Ghaffari , Anurag Gupta

Cohesive zone models do not consider the lateral contraction of adhesive layers under tensile loads. The constraint of the lateral contraction by the adherents which depends on the geometry of the adhesive layer has a major influence on the…

材料科学 · 物理学 2015-11-09 Olaf Hesebeck

Two mathematical models are developed within the theoretical framework of large strain elasticity for the determination of upper and lower bounds on the total strain energy of a finitely deformed hyperelastic body in unilateral contact with…

偏微分方程分析 · 数学 2019-04-04 L. Angela Mihai , Alain Goriely

In this study, thin elastic films supported on a rigid substrate are brought into contact with a spherical glass indenter. Upon contact, adhesive fingers emerge at the periphery of the contact patch with a characteristic wavelength. Elastic…

软凝聚态物质 · 物理学 2018-04-02 Benjamin Davis-Purcell , Pierre Soulard , Thomas Salez , Elie Raphael , Kari Dalnoki-Veress

In this paper we study the asymptotic behavior of solutions to systems of strongly coupled integral equations with oscillatory coefficients. The system of equations is motivated by a peridynamic model of the deformation of heterogeneous…

偏微分方程分析 · 数学 2021-06-22 Tadele Mengesha , James M. Scott

For a nonlinear system of coupled PDEs, that describes evolution of a viscous thin liquid sheet and takes account of surface tension at the free surface, we show exponential $(H^1,\,L^2)$ asymptotic decay to the flat profile of its…

偏微分方程分析 · 数学 2018-07-04 Marco A. Fontelos , G. Kitavtsev , R. M. Taranets

We attempt to give a bird's eye view of the physical mechanisms leading to anomalous relaxation, and the relation of this phenomenon with anomalous diffusion and transport. Whereas in some cases these two notions are indeed deeply related,…

无序系统与神经网络 · 物理学 2007-05-23 Jean-Philippe Bouchaud

Complex textured surfaces occur in nature and industry, from fingerprints to lithography-based micropatterns. Wrinkling by confinement to an incompatible substrate is an attractive way of generating reconfigurable patterned topographies,…