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In this page, some of the involved topics are briefly described.
Extrusion processThe extrusion process consists of pushing a rubber blend by means of screw extruder through feeding channels and extrusion dies of relatively complex geometry. The channels are used to condition the rubber flow parameters (velocity, temperature) and to distribute the flowrate of different blends in the case of co-extrusion. The extrusion die orifice has to be designed to produce profile with the required geometry. The process involves several complex phenomena: complex rheological behaviour, fluid flow with free surfaces, etc.
Set-up of a successful extrusion line is a long and costly trial and error procedure. It includes design and manufacture of several parts which will then be adjusted as a function of the extrudate shape and distortion in a trial and error manner. Since many different parameters control the rubber flow, this is a very complex task. Often the flow pattern within the die leads to flows too unbalanced to enable the practical and efficient extrusion of the desired product. In other cases the swelling of the rubber after exiting the die is unacceptable. The role of extrusion process designer is to find the die geometric configuration and the process conditions (flow rate, temperature etc.) which permit a stable flow of high precision and high quality profile. When rubber extrusion is considered, there is an additional ecological aspect of the die design problem: the wasted rubber cannot be easily recycled.
In extrusion simulations, three dimensional Navier-Stockes equations must be solved. The flow domain is discretized by finite elements. Then boundary conditions are applied. Typical boundary conditions are: inlet pressure or flow rate, slip conditions on the die walls, free surface definitions. The polymer behaivior is characterised by some constitutive law. Several laws could be used, which can include general non-Newtonian or visco-elastic effects. In the extrusion simulation of rubber blends, the so called "power law" is often used. Non-isothermal effects can be also taken into account. The associated problems are very big and require an application of modern HPCN technologies to perform the solution in reasonable time. Polyflow finite element code from Polyflow SA is the leading program for simulation of rubber and polymer processing. It was successfully ported on parallel platforms in the framework of Europort project. Direct extrusion simulations of the flow parameters, i.e. computing the flow velocity, pressure, extrudat shape for a given die geometry and process conditions can be performed, as well as inverse extrusion simulations where the required die orifice shape is predicted by the software.
The manufacturing process of a typical tire consists on 5 major steps:
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