Variational analysis of fully coupled electro-elastic frictional contact problems

2010 ◽  
Vol 283 (9) ◽  
pp. 1314-1335 ◽  
Author(s):  
Stanislaw Migorski ◽  
Anna Ochal ◽  
Mircea Sofonea
Keyword(s):  
Variational Analysis ◽  
Frictional Contact ◽  
Contact Problems ◽  
Fully Coupled

scholarly journals Variational analysis for some frictional contact problems

2019 ◽  
Vol 38 (7) ◽  
pp. 21-36
Author(s):  
Leila Ait Kaki ◽  
M. Denche
Keyword(s):  
Weak Solution ◽  
Variational Inequalities ◽  
Variational Analysis ◽  
Frictional Contact ◽  
Coupled System ◽  
Contact Problems ◽  
Variational Problems ◽  
Unique Weak Solution ◽  
Piezoelectric Body ◽  
Evolutionary Variational Inequalities

We consider a class of evolutionary variational problems which describes the static frictional contact between a piezoelectric body and a conductive obstacle. The formulation is in a form of coupled system involving the displacement and electric potentiel fieelds. We provide the existence of unique weak solution of the problems. The proof is based on the evolutionary variational inequalities and Banach's xed point theorem.

Fully Coupled Frictional Contact Using Elastic Halfspace Theory

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
K. Willner
Keyword(s):  
Frictional Contact ◽  
Numerical Models ◽  
Normal Load ◽  
Friction Pair ◽  
Contact Problems ◽  
Elastic Halfspace ◽  
Real Area Of Contact ◽  
Fully Coupled ◽  
Real Area

The effect of dry metallic friction can be attributed to two major mechanisms: adhesion and ploughing. While ploughing is related to severe wear and degradation, adhesion can be connected to pure elastic deformations of the contacting bodies and is thus the predominant mechanism in a stable friction pair. The transmitted friction force is then proportional to the real area of contact. Therefore, a lot of effort has been put into the determination of the fraction of real area of contact under a given load. A broad spectrum of analytical and numerical models has been employed. However, it is quite common to employ the so-called Mindlin assumptions, where the contact area is determined by the normal load only, disregarding the influence of friction. In the subsequent tangential loading, usually the contact pressure distribution is kept fixed such that the coupling between the tangential and normal solutions is neglected. Here, a numerical solution scheme based on elastic halfspace theory for frictional contact problems is presented where full coupling between the normal and tangential tractions and displacements is taken into account. Several examples show the influence of the coupling effects, but also the limitations for the analysis of rough contacts.

Elastoplastic Frictional Contact Study on Interference Fits of Compressor

2011 ◽  
Vol 211-212 ◽  
pp. 535-539
Author(s):  
Ai Hua Liao
Keyword(s):  
Stress Distribution ◽  
Contact Stress ◽  
Frictional Contact ◽  
Contact Problems ◽  
Boundary Problems ◽  
Interference Fit ◽  
Parametric Variational Principle ◽  
Design And Manufacturing ◽  
Contact Stress Distribution ◽  
Fit Tolerance

The impeller mounted onto the compressor shaft assembly via interference fit is one of the key components of a centrifugal compressor stage. A suitable fit tolerance needs to be considered in the structural design. A locomotive-type turbocharger compressor with 24 blades under combined centrifugal and interference-fit loading was considered in the numerical analysis. The FE parametric quadratic programming (PQP) method which was developed based on the parametric variational principle (PVP) was used for the analysis of stress distribution of 3D elastoplastic frictional contact of impeller-shaft sleeve-shaft. The solution of elastoplastic frictional contact problems belongs to the unspecified boundary problems where the interaction between two kinds of nonlinearities should occur. The effect of fit tolerance, rotational speed and the contact stress distribution on the contact stress was discussed in detail in the numerical computation. The study play a referenced role in deciding the proper fit tolerance and improving design and manufacturing technology of compressor impellers.

scholarly journals Sensitivity Analysis for Frictional Contact Problems with Large Deformation.

1999 ◽  
Vol 65 (637) ◽  
pp. 1859-1866
Author(s):  
Xian CHEN ◽  
Kazuhiro NAKAMURA ◽  
Masahiko MORI ◽  
Toshiaki HISADA
Keyword(s):  
Sensitivity Analysis ◽  
Large Deformation ◽  
Frictional Contact ◽  
Contact Problems
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