Simple contact mechanics model of the vertebrate cartilage

Soft Matter ◽  
2017 ◽  
Vol 13 (37) ◽  
pp. 6349-6362 ◽  
Author(s):  
B. N. J. Persson ◽  
A. Kovalev ◽  
S. N. Gorb

We study a simple contact mechanics model for the vertebrate cartilage, which includes (bulk) osmotic effects.

Author(s):  
A. L. Chau ◽  
M. K. Cavanaugh ◽  
Y.-T. Chen ◽  
A. A. Pitenis

Abstract Background Soft, biological, and bio-inspired materials are often compositionally heterogeneous and structurally anisotropic, and they frequently feature graded or layered organizations. This design complexity enables exceptional ranges in properties and performance yet complicates a fundamental understanding of the contact mechanics. Recent studies of soft gel layers have relied on Hertzian or Winkler foundation (“bed-of-springs”) models to characterize the mechanics but have found neither satisfactory. Objective The contact mechanics of soft gel layers are not yet fully understood. The aim of this work is to develop a simple contact mechanics model tailored for compositionally-graded materials with soft surface layers under high strains and deformations. Methods Concepts from polymer physics, fluid draining, and Winkler foundation mechanics are combined to develop a simple contact mechanics model which relates the applied normal force to the probe radius of curvature, elastic modulus, and thickness of soft surface layers subjected to high strains. Results This simple model was evaluated with two examples of graded surface gel layers spanning multiple length-scales, including commercially available contact lenses and stratified hydrogels. The model captures the nonlinear contact mechanics of highly strained soft aqueous gel layers more closely than either Hertz or Winkler foundation theory while simultaneously enabling a prediction for the thickness of the surface gel layer. Conclusion These results indicate that this simple model can adequately characterize the contact mechanics of highly strained soft aqueous gel layers.


Author(s):  
M. Ruths ◽  
Y. Yang

We have used friction force microscopy to study the boundary friction of thiophenol and 2-napthalenethiol monolayers on gold. The strength of the adhesion was altered by working in dry N2 gas or in ethanol. A contact mechanics model developed by Sridhar, Johnson and Fleck1,2 (SJF) for a thin, compliant elastic film confined between stiffer substrates was used to evaluate the data in systems with higher adhesion.


Author(s):  
Qiang Shi ◽  
Shing-Chung Wong ◽  
Kai-Tak Wan ◽  
Todd A. Blackledge ◽  
John Najem

Dry Adhesion exists between polymer nano/microfibers. An elaborate experiment was performed to directly measure the adhesion between electrospun poly(ε-caprolactone) (PCL) microfibers using a nano force tensile tester. Electrospun nano/microfibers with radius ranging from 0.2 to 1.1 μm were investigated. It was found that the adhesion force depended on the fiber radius following a linear relationship, which complied with the classical Johnson-Kendall-Roberts (JKR) contact mechanics model. The force increased with temperature and decreased with relative humidity between two fibers positioned in orthogonal directions. Our data suggested the van der Waals’ (vdW) interactions are primarily operative between the micro-/nano-fibers.


Materials ◽  
2019 ◽  
Vol 12 (19) ◽  
pp. 3150
Author(s):  
Renxiu Han ◽  
Guoxi Li ◽  
Jingzhong Gong ◽  
Meng Zhang ◽  
Kai Zhang

An accurate equivalent method of metal joint interface is of great significance to optimize the dynamic performance of the whole machine. Therefore, it is necessary to establish an accurate equivalent method of joint interface. The virtual material method is a precise equivalent method of joint interface. The traditional virtual material method is based on the M–B fractal contact theory. By modeling the contact mechanics of the joint interface, the physical properties of the virtual material are obtained separately, such as elastic modulus, Poisson’s ratio and density. In this paper, Persson contact theory is used to establish the interface contact mechanics model to find the physical properties of virtual materials. The virtual material methods constructed by two theories are respectively applied to the modal simulation to obtain the natural frequencies of the joint interface. By comparing the natural frequencies obtained by modal experiment and modal simulation, it is found that the natural frequencies obtained by the virtual material method based on Persson contact theory are closer to the results obtained by the modal experiment, and the error is within 5%. The error of the natural frequencies obtained by the virtual material method based on the M–B fractal contact theory is within 10%. Therefore, the Persson contact theory can establish a more accurate equivalent method of metal’s joint interface.


2011 ◽  
Vol 236-238 ◽  
pp. 1623-1627
Author(s):  
Liang Zhen ◽  
Nan Jiang

The multi-layer pressure vessel generates the preload stress during the process of wrapping & clamping. The contact between the wrapped layers and the inner shell is the source of the preload stress. The contact mechanics model shows the primary mechanics relationship, and the contact pressure vessel causes the local settlement. The theory contact pressure has 5% error with simulation value. The experiment values of inner wall are coincided with the theory stresses, and the largest error between the theory and the experiment is below 16.3%.


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