DrapeCutbeta flat patterns for woven cloth on compound curves

WORKED EXAMPLE · HEMISPHERE, 300 MM ACROSS

Composite draping example: dome

A 2D woven fabric cutting pattern generated from a 3D dome using DrapeCut's pin-jointed net draping simulation. Warp at 0°, locking angle 45° (a 2×2 twill), seed placed by the tool. The part is a hemisphere, 300 mm across.

MAX SHEAR47.7°
CELLS PAST LOCK16
FLAT SIZE471 × 470 mm
CLOTH AREA0.142 m²
PART COVERED100%
Draped woven fabric net on the dome, each cell coloured by shear angle from grey at 0° through gold at 45° to dark red past the locking angle; the blue dot is the seed
The net on the part, coloured by shear angle. Blue dot: seed.
Flat cutting pattern for the dome: the draped cells mapped back to the undeformed cloth, with the cut outline, the seed cross and the warp arrow along x
The flat cut shape, warp along x. This is what the DXF contains.
0°
45°
past lock

What this part shows

A dome is the textbook case for draping simulation: positive curvature in every direction, so no flat sheet can cover it without distortion. Seeded at the crown, the two axes of the net run down the surface as great circles and stay at 90°. Between them the tows must close up to fit the shrinking circumference, so shear grows with distance from the crown and is greatest on the diagonals, where the map turns gold.

The flat cut shape shows what that shear does to the cloth: the four lobes along the axes and the pinched diagonals between them. Cut a plain disc and the diagonals will bunch and wrinkle at the rim; cut this shape and the cloth lands with the tows where the model put them. Max shear reaches 47.7° with a 45° locking angle, 16 cells past lock.

Open this example in DrapeCut

Change the seed, the warp angle, the weave or the locking angle and the drape re-solves in well under a second. The DXF for an example downloads without an account.

How this page was made

The sample STL (10176 triangles) was draped by the same solver the tool runs, with these settings:

SettingValue
Warp direction0°
Tow pitch10 mm (coarse, so the net is legible; real cloth is 1–5 mm)
Locking angle45°
Seed-3.3, 0, 149.9 mm (suggested by the tool)
Cells in the ply1420

Shear angle is pitch-independent to within the mesh resolution; cloth area and the flat size are quantised to the pitch.