1. Reference problem#

1.1. Geometry#

_images/10000200000002DF000002DA4E71ECC848ABAA59.png

Figure 1.1: Wheel Geometry

Coordinates of points \((m)\): \(C:(0.0,0.0,0.0)\)

Wheel geometry \((m)\):

  • Diameter \(L\): \(7.75\)

  • thickness (along axis \(z\)): \(0.09\)

1.2. Elastic properties of the material#

A linear work hardening model is used.

  • Young’s module, \(E=7.1\times {10}^{10}\mathrm{Pa}\)

  • Poisson’s ratio, \(\nu =0.3\)

  • Volume density, \(\rho =7820.0{\mathrm{kg.m}}^{-3}\)

  • Slope of the traction curve, \({E}_{T}=0\)

  • Elastic limit, \(\sigma =1.\times {10}^{15}\mathrm{Pa}\)

1.3. Boundary conditions and loads#

        • Imposed rotation:

      • \(\omega =157{\mathrm{rad.s}}^{-1}\), center rotation \(C\) (around the \(Z\) axis)

    • Imposed travel:

BAS_NO: \(\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=0\)