Hybrid mesh: shrink fit, hex-layer zone on the hub bore (Lamé)
Meshing / hybrid hex + tet zones, contact interfacePASS · 2.54%A solid shaft pressed into a hub with a radial interference. The hub carries a welded wedge layer at its bore (the contact surface); shaft and hub are independent meshes tied node-to-surface with the interference as the right-hand side. In plane strain with identical materials the contact pressure is uniform and the hub bore hoop stress is given by Lamé; the tied interface is exactly equivalent to frictionless contact here (the contact is closed and sticks by symmetry).A solid shaft pressed into a hub with a radial interference. The hub carries a welded wedge layer at its bore (the contact surface); shaft and hub are independent meshes tied node-to-surface with the interference as the right-hand side. In plane strain with id… show full text
- Tolerance:
- 5%
Problem statement
- Geometry
- Quarter of a shaft R = 20 mm and a hub 20 ≤ r ≤ 40 mm, thickness 4 mm, radial interference δ = 0.02 mm. Hex zone on the bore: tube, t = 2.5 mm, 4 wedge layers.
- Material
- Steel: E = 210 GPa, ν = 0.3 (both parts).
- Boundary conditions
- Symmetry planes, plane strain (z fixed on both faces); node-to-surface tie between the independent shaft and hub meshes with the interference δ.
- Measured quantity
- Mean contact pressure (−σrr over the hub bore nodes) against p = Eδ/((1+ν)a[((1−2ν)a² + b²)/(b² − a²) + (1−2ν)]) and the hoop stress σθθ(a) = p(b² + a²)/(b² − a²).
Results comparison
| Reference value | p = 86.54 МПа, σθθ(r=a, ступица) = 144.23 МПа (Ламе) |
| Our result | p = 84.34 МПа (-2.55 %), σθθ = 145.00 МПа (+0.54 %) |
| Deviation | 2.54% |
| Tolerance | 5% |
| Status | PASS · 2.54% |
| Mesh details | гибридная ступица: тет4 1794 + призм wedge6 432 (слой 4 × t=2.5 мм), 937 узлов (2811 ), связь вал–ступица 77 пар узел–поверхность; для сравнения чисто тетовая ступица 15594: p -8.39 %, σθθ -1.09 %; расчёт 28 мс на нативе, мешинг ступицы 442 мс |
Updated: 2026-10-22 · WebCAE solver