scholarly journals A Study on Squeeze Films between Porous Rubber Surface and Rigid Surface. 1st Report, Analysis with Visco-Elastic Continuum Model.

2001 ◽  
Vol 67 (663) ◽  
pp. 3627-3635
Author(s):  
Satoru KANEKO ◽  
Takemi TANAKA ◽  
Satoru ABE ◽  
Takuya ISHIKAWA
Keyword(s):  
Continuum Model ◽  
Rigid Surface ◽  
Elastic Continuum ◽  
Rubber Surface ◽  
Report Analysis

A Study on Squeeze Films Between Porous Rubber Surface and Rigid Surface: Analysis Based on the Viscoelastic Continuum Model

2004 ◽  
Vol 126 (4) ◽  
pp. 719-727 ◽  
Author(s):  
Satoru Kaneko ◽  
Takemi Tanaka ◽  
Satoru Abe ◽  
Takuya Ishikawa
Keyword(s):  
Continuum Model ◽  
Surface Deformation ◽  
Hydrodynamic Lubrication ◽  
Viscoelastic Model ◽  
Elastohydrodynamic Lubrication ◽  
Squeeze Film ◽  
Rigid Surface ◽  
Fluid Inertia ◽  
Rubber Surface ◽  
Rubber Block

The squeeze-film effect between a porous rubber surface and a rigid surface has been investigated as a problem of viscoelastic hydrodynamic lubrication (VEHL). An axisymmetric continuum model is introduced to estimate the surface deformation of a cylindrical porous rubber block based on a three-element viscoelastic model. The coefficients in the viscoelastic constitutive equation are experimentally determined and then the deformation of the porous rubber block is calculated by the FEM technique. The approximate solutions for the fluid pressures in the squeeze film are obtained from the equation of motion, which includes both local and convective inertia terms, and the continuity equation, using the perturbation method. Experimental data on the squeeze-film pressures and forces are also obtained under the sinusoidal squeezing motion of a rigid plate facing a cylindrical porous rubber block. It is found that the difference between the VEHL solutions and the EHL (elastohydrodynamic lubrication) solutions becomes more marked for a higher frequency of squeeze oscillation due to the effect of viscoelasticity of the porous rubber. The VEHL solutions hence correspond better to the measured results and yield a smaller surface deformation of the porous rubber block than the EHL solutions as the frequency of squeeze oscillation increases. The results also show that the fluid inertia effect due to the flow in the squeeze film becomes noticeable for a higher frequency of the squeezing motion as the effect of viscoelasticity of the porous rubber.

A Continuum Damage Model for Functionalized Graphene Membranes Based on Atomistic Simulations

2017 ◽  
Vol 754 ◽  
pp. 173-176
Author(s):  
Ivano Benedetti ◽  
R.A. Soler-Crespo ◽  
A. Pedivellano ◽  
Wei Gao ◽  
H.D. Espinosa
Keyword(s):  
Continuum Model ◽  
Damage Model ◽  
Atomistic Simulations ◽  
Band Model ◽  
Continuum Damage ◽  
Two Phase ◽  
Elastic Continuum ◽  
Continuum Damage Model ◽  
Crack Band ◽  
Hyper Elastic

A continuum model for GO membranes is developed in this study. The model is built representing the membrane as a two-dimensional, heterogeneous, two-phase continuum and the constitutive behavior of each phase (graphitic or oxidized) is built based on DFTB simulations of representative patches. A hyper-elastic continuum model is employed for the graphene areas, while a continuum damage model is more adequate for representing the behavior of oxidized regions. A finite element implementation for GO membranes subjected to degradation and failure is then implemented and, to avoid localization instabilities and spurious mesh sensitivity, a simple crack band model is adopted. The developed implementation is then used to investigate the existence of GO nano-representative volume elements.

Quantized long-wavelength optical phonon modes in graphene nanoribbon in the elastic continuum model

2009 ◽  
Vol 46 (6) ◽  
pp. 881-888 ◽  
Author(s):  
Jun Qian ◽  
Matthew J. Allen ◽  
Yang Yang ◽  
Mitra Dutta ◽  
Michael A. Stroscio
Keyword(s):  
Optical Phonon ◽  
Continuum Model ◽  
Graphene Nanoribbon ◽  
Phonon Modes ◽  
Elastic Continuum ◽  
Long Wavelength

Two-dimensional elastic continuum model of enterocyte layer migration

2007 ◽  
Vol 22 (4) ◽  
pp. 350
Author(s):  
Qi Mi ◽  
David Swigon ◽  
Beatrice Riviere
Keyword(s):  
Continuum Model ◽  
Two Dimensional ◽  
Elastic Continuum

scholarly journals ADHESIVE FRICTION BEHAVIOR OF ROUGH RUBBER SURFACES SLIDING AGAINST SMOOTH RIGID SURFACES

2018 ◽  
Vol 91 (3) ◽  
pp. 621-632
Author(s):  
David Stratford Devalba ◽  
Alan G. Thomas ◽  
James J. C. Busfield
Keyword(s):  
Viscoelastic Properties ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
General Relation ◽  
Strain Energy Release ◽  
Rigid Surface ◽  
Friction Behavior ◽  
Frictional Shear Stress ◽  
Rubber Surface ◽  
Rigid Surfaces

ABSTRACT A model for the characterization and prediction of the adhesional friction experienced by a rough rubber surface sliding against a smooth rigid surface using fracture mechanics based peeling behavior is supported by experimental results. The friction is characterized by the strain energy release rate associated with the unpeeling of the asperities. This peeling energy of the rubber and rigid surface interface is used to derive a general relation for the frictional shear stress. Peeling characteristics are first found using rolling experiments, then this information is used to predict the results of sliding experiments. The velocity dependence of the friction is explained by relation to the dynamic viscoelastic properties of the rubber. The experiments compare favorably with the theoretical prediction derived using the model.

Low Frequency Study of Te2 Cluster and CdSeTe Nanoparticles Embedded in Borosilicate Glass

2016 ◽  
Vol 28 ◽  
pp. 120-124
Author(s):  
Venu Mankad ◽  
Vaishali Sharma ◽  
Prafulla K. Jha
Keyword(s):  
Boundary Condition ◽  
Borosilicate Glass ◽  
Glass Matrix ◽  
Continuum Model ◽  
Low Frequency ◽  
Acoustic Vibration ◽  
Elastic Continuum ◽  
Fixed Boundary ◽  
Fixed Boundary Condition

The objective of this paper is to study the low frequency acoustic vibration of Te2 cluster and CdSeTe nanoparticle embedded in borosilicate glass matrix. Lamb’s model is used to predict the occurrence of various mode to support the experimental observations by considering the elastic continuum model and fixed boundary condition. The presence of medium significantly affects the phonon peaks and results into the broadening of the modes. The linewidth is found to depend inversely on the size, similar to that reported experimentally.

AN ELASTIC CONTINUUM MODEL FOR FULLERENE ENERGETICS

1995 ◽  
Vol 09 (25) ◽  
pp. 1649-1655 ◽  
Author(s):  
XIA XIAOYU ◽  
LIU JI-XING ◽  
OU-YANG ZHONG-CAN
Keyword(s):  
Ab Initio ◽  
Minimal Surfaces ◽  
Continuum Model ◽  
Numerical Results ◽  
Elastic Theory ◽  
Elastic Continuum ◽  
Positive Evidence ◽  
Empirical Potential ◽  
Fluid Membranes ◽  
Good Agreement

By analogy with the elastic theory of solid shells1 and fluid membranes,2 it has been suggested that fullerenes, at least large ones, might somehow resemble the classic elastic continuum, as indicated by Schnur.3 Some related works dealt with nanotubes do show positive evidence for this suggestion.4 Here we propose an elastic continuum model appropriate to graphite-like networks. Applying it to various shapes of fullerenes, such as spheres, tubes, tori, and minimal surfaces, we found good agreement between this model and previous numerical results given by approaches of ab initio or empirical potential. Furthermore, this model enables one to understand the puzzling phenomena such as why Schwarzite P216 and Schwarzite D216 have nearly identical bending energies while their geometric forms are very different (see Fig. 1). The prospect of this model is also discussed.

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