Linear solids and vibration · VNV-TET10-STRUCTURAL-CONVERGENCE-012

TET10 structural mesh convergence

Four deterministic mesh levels compare traction, cantilever bending and circular shaft torsion against analytical references.

Internal review accepted with recommendationsCampaign version 0.2.0

Read the recorded results ← All calculation cases

Relative errors for TET4 and TET10 traction, bending and torsion mesh studies. — The plotted panels show traction, bending and torsion across four mesh levels. The traction patch reaches machine precision.

Recorded values

Main observables and references

Values come from the linked campaign record. Acceptance thresholds are shown separately from observed results.

TET10 bending error1.179%Timoshenko beam reference, finest mesh

TET4 bending error45.75%Same refinement sequence

TET10 torsion rotation error0.00250%Saint-Venant solution

TET10 torsion stress L2 error0.991%Saint-Venant solution

Model and execution

What was calculated?

The bending model is an 8 × 1 × 1 m cantilever with a fixed root and a terminal traction of −1000 Pa in Z.
The circular torsion model has length 3 m, radius 0.5 m and a 1000 N·m end torque.
The repository compares TET4 and TET10 using matching mesh sizes and deterministic Gmsh inputs.

How to read the evidence

What the results say

At the finest recorded level, TET10 bending error is 1.179% against Timoshenko beam theory. The TET4 error on the same refinement sequence is 45.75%.
TET10 torsion rotation error is 0.00250% against Saint-Venant theory; the torsional stress L2 error is 0.991%.
The traction patch reaches machine precision. These are three distinct observables and their references should not be conflated.

Scope boundary

Where this case stops

The evidence covers the declared linear elastic models and mesh sequence only.
It does not establish curved TET10 plasticity, large transformations or general industrial use.

Open the calculation method

These white box sheets explain the element, constitutive law or numerical method used by this case.

White box sheetTET10 element formulation White box sheetLinear static equilibrium White box sheetIsotropic elasticity

Reproduce and inspect the source

The source paths below are pinned to one repository commit. Opening the current site does not rerun the original calculation.

Mechanical reviewdocs/verification/revue_tet10_lineaire.mdReproduction scriptscripts/run_tet10_structural_convergence_vnv.py

Figure and source snapshot e367fe58b2b9ebb4aef321424ca775e80e82d9ca. Campaign execution version: 0.2.0. Current site release and original calculation version identify different events.

Related cases

Other recorded calculations in this family.

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