Numerical Solution of 2D Contact Shape Optimization Problems Involving a Solution-Dependent Coefficient of Friction

2014 ◽  
pp. 1-24
Author(s):  
Petr Beremlijski ◽  
Jaroslav Haslinger ◽  
Jiří Outrata ◽  
Róbert Pathó
Keyword(s):  
Shape Optimization ◽  
Numerical Solution ◽  
Coefficient Of Friction ◽  
Optimization Problems ◽  
Contact Shape

On Steady Wear States for Monotonic Relative Sliding of Contacting Bodies

2014 ◽  
Vol 618 ◽  
pp. 49-71 ◽  
Author(s):  
István Páczelt ◽  
Zenon Mróz
Keyword(s):  
Shape Optimization ◽  
Optimization Problems ◽  
Minimum Principle ◽  
Contact Problems ◽  
Steady States ◽  
Wear Volume ◽  
Wear Process ◽  
Rate Vector ◽  
Contact Shape ◽  
Dissipation Power

The paper presents a synthetic review of recent research carried out by the writers [1-6, 7-9] on contact shape optimization coupled with wear and on the steady wear regimes reached in the transient wear process. It was shown that these regimes can also be specified from the optimality conditions. In the analysis several classes of shape optimization problems were considered, namely minimization of wear volume rate, friction dissipation power or wear dissipation power. It was demonstrated that the contact shape evolution tends to steady or quasi-steady states satisfying the minimum principle of the wear dissipation power, resulting in the coaxiality rule requiring the wear rate vector to be collinear with the rigid body wear velocity vector. The application of steady state wear rules in specification of contact states for selected problems is discussed in the paper. The extension of method is presented for the case of multi-zone contact problems for which both transient and steady states have been analyzed.

scholarly journals Numerical solution to shape optimization problems for non-stationary Navier-Stokes problems

JSIAM Letters ◽  
2010 ◽  
Vol 2 (0) ◽  
pp. 37-40 ◽  
Author(s):  
Yutaro Iwata ◽  
Hideyuki Azegami ◽  
Taiki Aoyama ◽  
Eiji Katamine
Keyword(s):  
Shape Optimization ◽  
Numerical Solution ◽  
Optimization Problems ◽  
Navier Stokes ◽  
Stokes Problems
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