Rubber Structure and Coefficient of Friction

1962 ◽  
Vol 35 (2) ◽  
pp. 371-378 ◽  
Author(s):  
G. M. Bartenev

Abstract 1. As a result of analysis of the formulas of friction of rubber and of a comparison with experimental data for steady-state friction on smooth solid surfaces it is demonstrated that the friction of vulcanized rubber is determined by three constants of the material, depending upon the type of rubber polymer and the structure of the vulcanizate. 2. The constant α characterizes the constant of the formation of the area of actual contact Sa under loading. This constant does not depend upon the rate of slip and the nature of the solid surface, but it does depend upon the stiffness of the vulcanizate, which is directly proportional to the crosslink density. 3. The tangential stress on the actual area of contact α=F/Sa depends upon the temperature, the rate of slip and the two constants of the material Sk and U. The first of these is the effective area of contact of a chain with the solid surface, depending upon the number of chains in the network of the vulcanizate, the second is the activation energy, depending upon the nature of the frictioning surfaces, in particular upon the structure of the polymer chain of rubber. 4. A method is proposed for calculating the area of actual contact of a vulcanizate from the number of chains per unit volume and from the number of chains which are in contact with the solid surface.

2005 ◽  
Vol 70 (3) ◽  
pp. 383-402
Author(s):  
Valery A. Danilov ◽  
Il Moon

This paper is devoted to the development of a new method for estimating mass transfer coefficients and effective area in packed columns in the case of reactive absorption. The method is based on a plug-flow model of reactive absorption of carbon dioxide with sodium hydroxide solution. The parameter estimation problem is solved using an optimization technique. Some mass transfer parameters are found to be correlated. Global sensitivity analysis by Sobol's technique showed that the unit model with the defined objective function is sensitive to the estimated parameter. Case studies of reactive absorption with different packings illustrate application of the proposed method for estimating mass transfer coefficients and effective area from column operation data. The model calculations are compared with experimental data obtained by other authors. The concentration profiles calculated by the unit model with the estimated parameters are shown to match well with experimental profiles from literature. A good agreement between estimated values and experimental data from literature confirms the applicability of this method.


2015 ◽  
Vol 5 (2) ◽  
pp. 135-142 ◽  
Author(s):  
Benzhen Yao ◽  
Zhiqing Wang ◽  
Tiancun Xiao ◽  
Fahai Cao ◽  
Peter P. Edwards ◽  
...  

Author(s):  
Claudio Braccesi ◽  
Filippo Cianetti ◽  
Renzo Scaletta

The present paper illustrates an evaluation method developed by the authors to quantify the index of motion sickness incidence (MSI) in railways motion conditions. This index is formerly defined in literature to quantify diseases coming from low frequency motions (kinetosis). The proposed method, suggested as alternative to the only one existing in reference norm, involves PCT index, well known in railways context, and weighting curves for accelerometric signals, which are also specified in railways regulations. The approach of the method, consistent with the theoretical model, developed by the authors themselves in previous works, allows to obtain MSI index versus time and/or track progressive distance. The model is validated through comparison with experimental data available in literature and with measures recorded and obtained on regular trains during tests performed in Slovenia (EU).


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