An approach to the theoretical mechanics of static drape

Abstract

Outlines an approach to the problem of simulating the drape of fabrics. The approach is based on representing fabrics as two‐dimensional continua and using the differential geometry of surfaces to describe the shape of the draped fabric and to deduce deformation measures. The approach follows the philosophical approach previously used to establish computational models of elastica theory. Summarizes the mathematical model using a compact notation, with more detail being given in the context of a particular example. Uses a simple numerical solution procedure for the example, but this has limitations that indicate that more sophisticated techniques are needed. Points out possible difficulties with the graphical representation of drape, based on the experience of the simple example.