Orthotropic solids · VNV-ORTHOTROPIC-SOLID-CONVERGENCE-003

Orthotropic solid mesh convergence

TET4 and TET10 converge on an off-axis orthotropic cantilever with a fixed 30 degree material direction.

Internal review accepted with recommendationsCampaign version 0.2.0

Read the recorded results ← All calculation cases

Orthotropic TET4 and TET10 deflection and energy errors over mesh refinement. — Off-axis orthotropic cantilever. Displacement and energy errors are measured against a fine TET10 numerical reference.

Recorded values

Main observables and references

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

TET10 deflection error0.292%Fine TET10 numerical reference

TET10 energy error0.303%Finest recorded TET10 mesh

TET4 deflection error11.75%Finest recorded TET4 mesh

TET4 energy error11.99%Finest recorded TET4 mesh

Model and execution

What was calculated?

The cantilever is 2.0 × 1.0 × 0.5 m with a 30 degree material orientation and a transverse end traction of −1 MPa.
A fine TET10 result is the numerical reference.
Mesh levels span 215 to 9,820 TET4 elements and 215 to 2,607 TET10 elements.

How to read the evidence

What the results say

TET10 deflection error decreases from 3.55% to 0.292%; final energy error is 0.303%.
TET4 deflection error decreases from 62.07% to 11.75%; final energy error is 11.99%.
The trend is monotone in this sequence. TET4 remains coarse for bending dominated orthotropic work.

Scope boundary

Where this case stops

The review covers homogeneous 3D linear orthotropy, small strain and a constant orientation per region.
It does not establish a continuously curved fibre direction, delamination, progressive damage or nonlinear orthotropy.

Open the calculation method

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

White box sheetOrthotropic elasticity White box sheetTET4 element formulation White box sheetTET10 element formulation

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_solides_orthotropes.mdConvergence campaign scriptscripts/run_orthotropic_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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