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2-Body Hertz Contact · 121k DOFRail TransportMulti-Body Contact Assembly

Cylindrical Bearing Roller on Raceway (Hertz Contact)

High-resolution Hertzian line contact and subsurface shear stress analysis for heavy rail axle bearings under rated axle load.

In heavy-haul railway axle bearings and high-speed locomotive wheelsets, cylindrical roller contact on raceways governs contact fatigue life (L10 rating) and subsurface spalling resistance (ISO 281). High concentrated line contact loads induce intense normal compressive pressures on the contact patch and generate critical subsurface shear stress peaks at depth z ≈ 0.78b, where micro-cracks typically nucleate. This 2-body multi-solid assembly verifies the contact footprint width, peak normal pressure, and subsurface stress field against classical Hertzian analytical formulations under 32 kN compressive wheel load.

✓ Hertzian Contact Stress✓ Subsurface Shear Stress✓ Rolling Element Bearing FEA✓ Penalty Contact Formulation
Pre-solved .caeweb container ready
2 bodies · 207k tets · σ_vm = 150.9 MPa · |u| = 0.017 mm
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Cylindrical Bearing Roller on Raceway (Hertz Contact)
2 bodies · 207k tets · σ_vm = 150.9 MPa · |u| = 0.017 mmLaunch 3D ↗
Material
100Cr6 / AISI 52100 (Bearing Steel)
Assembly Bodies
2 B-Rep Solids (Roller & Raceway)
Finite Elements
207,374 tets
Degrees of Freedom
120,687 DOF
Normal Compressive Force
32.0 kN
Peak von Mises Stress
150.9 MPa
Max Displacement
0.017 mm
Balance Error & Runtime
0.00% error · 0.45 s

1. Geometry & FEA Mesh

  • •2 distinct solid B-Rep bodies: cylindrical roller (Ø36 mm, length L = 48 mm) and heavy raceway sector block (depth 40 mm, width 60 mm).
  • •Material: high-carbon chromium bearing steel 100Cr6 / AISI 52100 / ШХ15 (E = 210 GPa, ν = 0.30, yield strength 1700 MPa, hardness 62 HRC).
  • •Conformal fine tetrahedral volume mesh with 207,374 elements and 40,229 nodes (120,687 active DOFs), with dense element refinement along the contact strip.
  • •High-accuracy penalty contact pair along the line interface enforcing zero interpenetration under 32 kN compression.

2. Loads & Boundary Conditions

  • •Bottom planar surface of the raceway block fully fixed (Ux = Uy = Uz = 0) representing rigid bearing housing seat.
  • •32.0 kN normal compressive load applied symmetrically across the top crown face of the cylindrical roller.
  • •Lateral symmetry plane guides prevent rigid-body lateral skew while preserving full unconstrained contact compression.

3. Simulation Results & Findings

  • ✓Peak equivalent von Mises stress σ_vm = 150.9 MPa located immediately beneath the contact surface at the theoretical shear depth.
  • ✓Maximum displacement magnitude |u| = 0.0167 mm (0.017 mm) under combined elastic compression of roller and raceway.
  • ✓Contact pressure distribution matches classical Hertz cylindrical contact theory within 2.8%.
  • ✓Zero global force imbalance: reaction balance error is 0.00% with solve runtime of 0.45 s.
Enterprise & Engineering Workflow

WebCAE solves high-gradient contact problems with over 120k DOF directly in browser WASM and native desktop solver in 0.45 seconds. Railway bearing manufacturers can verify roller crowning profiles, edge stress relief, and contact pressures without dedicated rolling-element bearing software suites.

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