There is nothing more frustrating in Computer-Aided Engineering (CAE) than a simulation that crashes at 99%. In non-linear Finite Element Analysis (FEA)—whether you are dealing with large deformations, plasticity, or complex contact—convergence failure is a rite of passage. This guide skips the basics and dives into the solver-level adjustments needed to stabilize your SimScale runs.
This is the most common error in Structural Mechanics. It typically indicates that the solver cannot find an equilibrium state within the default number of iterations. The cause? Usually a sudden change in stiffness or an unconstrained "flying" part.
Phase 1: Debugging Contact Instability
Contact is the #1 enemy of convergence. If your parts have even a 0.001mm gap, the solver might see them as unconstrained, leading to a Rigid Body Motion error.
Use "Physical Contact" with Augmented Lagrange
In SimScale, the Penalty Method is fast but can be "bouncy." For high-precision non-linear runs, switch to Augmented Lagrange. It provides better penetration control and is less sensitive to contact stiffness (Kn) values.
The "Position Tolerance" Trick
Don't rely on the "Automatic" tolerance. Manually set a tolerance slightly larger than your mesh size at the interface. This "welds" the contact pairs mathematically before the first increment, preventing initial divergence.
Phase 2: Solver Controls & Stepping
If the physics are right but the solver still struggles, it's time to modify the Newton-Raphson parameters. High-CPC industries like Medical Device manufacturing (stents, implants) require these exact tweaks for hyperelastic materials.
| Parameter | Default Value | Recommended for Stability |
|---|---|---|
| Max Iterations | 15 | 30 - 50 |
| Convergence Criteria | 1e-5 | 1e-3 (for initial testing) |
| Time Stepping | Auto | Manual (Start with 0.01 increments) |
Phase 3: Handling Hyperelasticity (Rubber & Polymers)
When simulating rubber-like materials, the Strain Energy Density Function can become unstable at high stretches. Users often search for "Mooney-Rivlin vs Ogden in SimScale" without finding a practical answer.
The Fix: If you see "distorted elements," it's likely a volumetric locking issue. Ensure you are using Reduced Integration elements or hybrid formulations. In SimScale, this is managed by selecting "Non-linear" in the element technology settings and ensuring your mesh is fine enough to handle the incompressibility constraint.
Technical Bibliography:
• Code_Aster Open Source Reference Manual (Fascicule u2.06: Non-linear Statics)
• NAFEMS: Introduction to Non-Linear Finite Element Analysis
• SimScale Validation: Large Deformation of a Hyperelastic Beam
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