The track : a complex system / Project 2
  Ballast: grain by grain  
Rail & Recherche n°27 - April/May/June 2003  
 
There are problems that, despite their apparent simplicity, give researchers and engineers lots of trouble. One of them involves ballast, a crucial material for SNCF, which consumes nearly 3.5 million tonnes of it per year.  

A 30-cm layer of ballast supports the load of a passing TGV’s wheels. How does this granular milieu behave? Two researchers are working full time at SNCF to answer that question. The ballast’s behaviour is crucial, since this material stabilises, cushions and provides flexibility for the track, while facilitating maintenance. But ballast also settles, which is the phenomenon the researchers are studying. “To model the interactions of the grains, we are using the finite elements method and considering the grains independent and non-deforming entities,” explains project head Catherine Cholet. “Working with an engineering laboratory (LMGC), we developed a 2D calculation code that works well,” says Gilles Saussine, who is doing thesis research at SNCF. “But the problem gets more complicated if one adds a third dimension.” The interactions in a mass of polyhedral grains are difficult to describe. “The first step is to count all the contacts,” explains Cholet. “Then the configuration of each contact is calculated.” In a third step, the system’s evolution is described with mechanical equations, using laws of friction and non-penetration. “The description is further refined by introducing a law of wear, since the grains age,” adds Cholet. A 3D version of the “dynamic contact method” is now being developed. “Detecting the contacts between polyhedral grains is difficult,” says Saussine. “To better understand the phenomenon, I first studied the behaviour of spherical grains. Next I‘d like to model several spheres stuck together, which is closer to the reality.” The team is also doing impact simulations. “Though our main objective is to describe the physics of these grains, we are also improving the codes to enhance 3D visualisation,” notes Cholet. On the screen, the results are already spectacular.

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