A new numerical method, based on the augmented Lagrangian, for the draping
of fabrics over arbitrary surfaces is reported. To the usual mesh-size cons
traints are added two new constraints: the fabric location relative to the
mould surface and the orientation of the fabric meshes. The draped configur
ation is controlled by minimising the total deformation of the fabric. Nume
rical draped configurations obtained by using the method are given.