QI_B / Reference structure
Conventional fiber order
A symmetric 16-ply shell over uniform foam B. The half-stack is [0, +45, −45, 90, 0, +45, −45, 90], mirrored through the thickness.
GIGI / Helmet geometry study
Shape the structure.
Measure the impact.
How should a helmet’s shape, fibers and cushioning work together?
We compare three shell geometries and three layered structures around the same assumed head. The question is what changes the impact response—and which apparent improvements survive a closer numerical check.
01 / The question
Is round necessarily better?
A spherical outer surface changes both contact geometry and the cushioning available at each point. Around a head that is not spherical, the same amount of foam becomes thinner in some places and thicker in others.
This experiment holds the covered head region and target material masses constant. It compares a head-following oval, a spherical cap and an oval that reallocates cushioning toward the crown and sides.
Research scope. This is an unvalidated computational screen. It does not establish a protective helmet, injury reduction or a safety rating.
02 / Geometry
The same head. Three outer shapes.
Inspect the actual screening meshes and the local material directions. Changing the angle changes the direction marks, not the measured simulation results.
__MODEL_VIEW__Inside the shell
ShellUniform BSoft inner AFirm outer C
Sections share the same scale; the front is to the right. Thicknesses and interfaces come from the model inputs. STL files use millimetres.
03 / Layer architecture
Separate the effects of fibers and foam.
BAL_B / Isolate ply order
Reorder the same angles
The selected half-stack is [−45, +45, 0, 90, 90, +45, 0, −45], mirrored. Angle counts and shell mass are unchanged.
BAL_AC / Change the liner
Soft inside. Firm outside.
The selected shell covers soft A foam inside and firm C outside. A occupies 67.84% of liner volume; the interface is solved to match the uniform B liner’s mass.
Angles are local to the shell’s tangent plane. The 0° axis follows projected front-to-back direction, with an alternate coordinate chart near singular projections. These are material axes, not manufacturing paths.
04 / Measured responses
A lower peak can come with a tradeoff.
__FINDING__
| Shape / structure | Linear m/s² | Angular rad/s² | Spin rad/s | Relative score | Cases |
|---|
How to read the comparison score
For each design, take the worst linear acceleration, angular acceleration and angular speed over the five impacts. Divide each by the corresponding worst baseline oval/QI_B metric. The score is the largest of those three ratios. Lower is better under this chosen numerical objective. The score is not an injury probability.
Only designs with all five cases passing the numerical gates enter the initial ranking. Mesh sensitivity is assessed separately.
05 / Impact histories
Read the whole response.
Compare a design with the baseline under the same impact. Longer frontal histories include restart extensions to finish contact.
Selected designBaseline oval / conventional fibers / B foam
06 / Evidence & reproduction
Keep the model and its limits inspectable.
Technical report ↓Seven sheets · sections, results and presentation platesReproduction package ↓Models, solver inputs, histories, checks and receiptsAll impact cases ↓Measured responses · CSVMesh & friction checks →Detailed paired comparisons · JSON
Material sources, solver and GIGI’s role
OpenCourant computes the mechanical response. GIGI stores and query-checks the input specifications, estimated surface curvature and measured solver summaries. Surface curvature here is a mesh geometry estimate, not GIGI’s statistical CURVATURE verb.
- Foam compression anchors: Bailly et al., Applied Sciences 10, 8286 (2020).
- Nominal composite elastic constants: source paper, Table 3.
- Solver: OpenCourant, release latest-20261011. Version and archive hash are recorded.
- Full methods and reproduction notes · Complete comparison JSON.