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In this study, we propose a theory of rough adhesive contact of viscoelastic materials in steady-state sliding. By exploiting a boundary formulation based on Green function approach, the unknown contact domain is calculated by enforcing the…

软凝聚态物质 · 物理学 2024-01-31 C. Mandriota , N. Menga , G. Carbone

Graphene, the 2D form of carbon, has excellent mechanical, electrical and thermal properties and a variety of potential applications including NEMS, protective coatings, transparent electrodes in display devices and biological applications.…

介观与纳米尺度物理 · 物理学 2018-08-20 Narasimha G Boddeti , Rong Long , Martin L Dunn

In our previous paper (Eur. Phys. J. E 4, 121 (2001)) we proposed a coarse-grained elastic energy for nacre, or stratified structure of hard and soft layers. We then analyzed a crack running perpendicular to the layers and suggested one…

软凝聚态物质 · 物理学 2009-11-07 Ko Okumura

Transformation elasticity, by analogy with transformation acoustics and optics, converts material domains without altering wave properties, thereby enabling cloaking and related effects. By noting the similarity between transformation…

经典物理 · 物理学 2012-08-27 A. N. Norris , W. J. Parnell

How much energy does it take to stamp a thin elastic shell flat? Motivated by recent experiments on the wrinkling patterns of floating shells, we develop a rigorous method via $\Gamma$-convergence for answering this question to leading…

偏微分方程分析 · 数学 2021-02-17 Ian Tobasco

Soft yet tough materials are ubiquitous in nature and everyday life. The ratio between fracture toughness and intrinsic fracture energy of a soft material defines its toughness enhancement. Soft materials' toughness enhancement has been…

软凝聚态物质 · 物理学 2022-02-15 Shaoting Lin , Camilo Duque Londono , Dongchang Zheng , Xuanhe Zhao

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

计算工程、金融与科学 · 计算机科学 2020-10-15 Stella Brach

Motivated by recent experimental observations [U. Delabre et al, Langmuir 24, 3998, 2008] we reconsider an instability of ultrathin nematic films, spread on liquid substrates. Within a continuum elastic theory of liquid crystals, in the…

软凝聚态物质 · 物理学 2011-02-18 O. V. Manyuhina , A. -M. Cazabat , M. Ben Amar

Three general modes are distinguished in the deformation of a thin shell; these are stretching, drilling, and bending. Of these, the drilling mode is the one more likely to emerge in a soft matter shell (as compared to a hard, structural…

软凝聚态物质 · 物理学 2025-01-29 Andre M. Sonnet , Epifanio G. Virga

We investigate the elasticity of unsupported epithelial monolayer and we discover that unlike a thin solid plate, which wrinkles if geometrically incompatible with the underlying substrate, the epithelium may do so even in absence of the…

软凝聚态物质 · 物理学 2023-05-24 Urška Andrenšek , Primož Ziherl , Matej Krajnc

An analytical theory is presented for the damping of low-frequency adsorbate vibrations via resonant coupling to the substrate phonons. The system is treated classically, with the substrate modeled as a semi-infinite elastic continuum and…

材料科学 · 物理学 2009-10-30 Steven P. Lewis , M. V. Pykhtin , E. J. Mele , Andrew M. Rappe

A new formula for elastic bending modulus of monolayer graphene is derived analytically from an empirical potential for solid-state carbon-carbon bonds. Two physical origins are identified for the non-vanishing bending modulus of the…

材料科学 · 物理学 2015-05-13 Qiang Lu , Marino Arroyo , Rui Huang

A simple theory is proposed for the dispersive molecular binding of unusually high magnitude due to an enhanced polarizability. Two alternative ways have so far been considered in the literature leading to the polarizability enhancement:…

软凝聚态物质 · 物理学 2007-05-23 Mladen Georgiev , Alexander Gochev , Jai Singh

We analyze dissipative scale effects within a one-dimensional theory, developed in [L. Anand et al. (2005) J. Mech. Phys. Solids 53], which describes plastic flow in a thin strip undergoing simple shear. We give a variational…

数学物理 · 物理学 2015-11-17 Maria Chiricotto , Lorenzo Giacomelli , Giuseppe Tomassetti

We develop and analyze a variational model for multi-ply (i.e., multi-layered) paperboard. The model consists of a number of elastic sheets of a given thickness, which -- at the expense of an energy per unit area -- may delaminate. By…

偏微分方程分析 · 数学 2021-10-19 Patrick Dondl , Sergio Conti , Julia Orlik

Widespread processes in nature and technology are governed by the dynamical transition whereby a material in an initially solid-like state then yields plastically. Major unresolved questions concern whether any material will yield smoothly…

统计力学 · 物理学 2022-11-23 Joseph Pollard , Suzanne M Fielding

A ball dropped from a given height onto a surface, will bounce repeatedly before coming to rest. A ball bouncing on a thick plate will behave very differently than a ball bouncing off the thin lid of a container. For a plate with a fixed…

软凝聚态物质 · 物理学 2020-08-25 Satyanu Bhadra , Shankar Ghosh

We derive the variational limiting theory of thin films, parallel to the F\"oppl-von K\'arm\'an theory in the nonlinear elasticity, for films that have been prestrained and whose thickness is a general non-constant function. Using…

偏微分方程分析 · 数学 2024-11-06 Hui Li

We present a novel theory of the adhesive contact of linear viscoelastic materials against rigid substrates moving at constant velocity. Despite the non-conservative behavior of the system, the closure equation of the contact problem can be…

软凝聚态物质 · 物理学 2022-09-15 Giuseppe Carbone , Cosimo Mandriota , Nicola Menga

We report experimental results on the decay of wave turbulence in an elastic plate obtained by stopping the forcing from a stationary turbulent state. In the stationary case, the forcing is seen to induce some anisotropy and a spectrum in…

混沌动力学 · 物理学 2015-05-28 Benjamin Miquel , Nicolas Mordant