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Elastomeric Engine Mount Isolator: 3D Finite-Strain Neo-Hookean Hyperelasticity under Combined Compression & Shear
3D B-Rep Shore 50A rubber vibration isolator (Ø60 × 40 mm) with central sleeve bore and waist relief groove solved via Total Lagrangian compressible Neo-Hookean hyperelasticity (`model="neo-hookean"`, `nlgeom on solidmaterial=1`).
Rubber engine mounts and machinery vibration isolators operate at finite strains (30–40% compression and shear) where infinitesimal linear elasticity fails both kinematically and constitutively. This case models a stepped Ø60 × 40 mm Shore 50A elastomer mount with a Ø16 mm inner sleeve bore and a toroidal waist groove using WebCAE's Total Lagrangian compressible Neo-Hookean formulation (`W = (μ/2)(Ī₁ − 3) + (κ/2)(J − 1)²`, μ = 4.83 MPa, κ = 46.67 MPa).
1. Geometry & FEA Mesh
- •3D B-Rep CAD model (`hyperelastic_rubber_isolator.step`, 10 CAD faces, volume 72.90 cm³, Ø60 × 40 mm).
- •3,304 TET4 elements, 930 nodes (2,790 DOFs).
- •Compressible Neo-Hookean elastomer (Shore 50A): E = 14 MPa, ν = 0.45 (shear modulus μ = 4.828 MPa, bulk modulus κ = 46.67 MPa), ρ = 1,100 kg/m³.
2. Loads & Boundary Conditions
- •Bottom annular flange mounting face fully fixed (`fix surface number 29`, z = 0 mm).
- •Top bearing pad (`surface number 33`, z = 40 mm) loaded by simultaneous axial compression p = 2.0 MPa and lateral shear force F_x = 1,200 N.
- •Solved with `nlgeom on solidmaterial=1 steps=8 maxiter=30 tol=1e-5`.
3. Simulation Results & Findings
- ✓Full load λ = 1.0 reached in 5 accepted Newton–Raphson increments (5, 6, 8, 12, and 18 iterations per step).
- ✓Peak displacement reaches |u|_max = 13.07 mm (32.7% of the 40 mm height) at true 1:1 deformation scale.
- ✓Maximum Green–Lagrange equivalent strain reaches 38.12% at the waist relief groove, with Cauchy von Mises stress reaching 5.61 MPa.
WebCAE's native 3D Total Lagrangian hyperelastic solver enables direct finite-strain design verification of rubber mounts, bushings, seals, and elastomeric dampers.
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