Concept

Percolation — where it appears

The point at which a random assembly first has a connected path across it, which is what makes a nonwoven a fabric. It is a threshold in a probability rather than a criterion on a matrix, so a nonwoven's coherence is a different kind of statement from a weave's.

Named by 4 essays across 3 fields — each of them below, with the objects they name alongside it.

A web at 6 fibre lengths squared per unit area. Straight fibres dropped at random positions and random angles. The largest connected group is drawn solid; everything not joined to it is drawn faintly. Whether that group reaches both edges is what decides whether this is a sheet or a heap.

Nonwovens, and what holds them together instead

A web of fibres laid down at random has no repeat, so the exact test for whether a fabric holds together has nothing to work on. What replaces it is a threshold, and the threshold is sharp.

cloth · Integrity
A filter cloth has two jobs. Opening size against sett for a woven filter cloth, with the two limits that specify one: the soil is retained below the retention line, and the water passes above the open-area floor. They pull opposite ways, so the answer is an interval in the sett — and for a fine enough soil there is no interval at all.

A filter cloth has two jobs

Hold the soil back and pass the water. The first wants a close sett and the second wants an open one, so a filter cloth is not a fabric but an interval — one that is sometimes a single sett wide, and for a fine enough soil is empty. The empty case is the useful one, because it says the answer is not a woven cloth at all.

applied · Openings
Milling, on the nonwoven's own scale. Migrated fibre accumulating with agitation, measured against the stick-percolation threshold this site uses for nonwovens. Above the line the fibre network holds on its own, which is why a milled cloth can be cut without fraying — the weave is no longer the only thing keeping it together.

Milling holds the cloth a second time

This site's integrity criterion returns exactly the same answer for a melton as for the loose twill it was woven as, and it is right both times. What has changed is that a second network now holds the fabric together, made of migrated fibre rather than of thread crossings — and it is the one that decides whether a cut edge frays.

finishing · Felting
What a film 80 µm deep touches on a sheeting. The part of a sheeting that a film reaching 80.3 µm below the crowns touches, in plan over two repeats each way, for a 2/2 twill and a 2/2 hopsack. On the 2/2 twill the film is separate patches, and joins at 161 µm, an add-on of 116 g/m² of the 186 that flattens the face; on the 2/2 hopsack the film is separate patches, and joins at 161 µm, an add-on of 116 g/m² of the 186 that flattens the face. The twill's crowns join edge to edge in its matrix and not on the cloth, because two neighbouring ends are separated by the gap the sett leaves.

A ridge in the matrix is not a ridge in the cloth

A 2/2 twill's crowns join into a ridge across its matrix and a 2/2 hopsack's are islands, so a thin film on the twill should be continuous from the first gram and on the hopsack a scatter of patches. Laid on the cloth's own surface rather than its matrix, both films are patches — the twill's ridge crosses from one end to the next, and between two ends lies the gap the sett leaves. On a sheeting both join at the same depth, 116 grams into the 186 that flatten the face, and the weave's whole influence is a window of up to 27 grams at the setts where it opens at all.

cloth · Surface

Named alongside it

The objects these essays reach for when they reach for this one.

NonwovenSettThresholdAdd-onBearing curveCloth integrityCoatingCoverCrown lineFeltingFibre migrationFibre network

All concepts