Abstract
Fabric drapes are typical large displacement, large rotation and small strain problems. Compared with continuum shell finite element methods, the methods that discretize the fabric sheet into a set of interconnected particles are more popular in drape problems. A major reason leading to the relative popularity is probably that the particles carries only translational dofs whilst nodes in shell finite element modes carry translational as well as rotational dofs. By using the small strain approximation and some ad hoc devised relative displacement measures, the bending and membrane fabric energy in this paper is a quadratic and quintic polynomial functions of the particle displacements, respectively. Unlike many particle models, it will also be seen that the trigonometric functions which give rise to cumbersome tangential stiffness or Hessian matrix are exempted and the regularity requirement on the particle distribution is relaxed by interpolating the particle displacements. Fabric drape problems with extensive wrinkles are attempted. Examples with extensive wrinkles are presented with sharp fold, seam and contact considered. The presence of seam and sharp fold in the undeformed fabric sheet are also considered. The predicted appearances are pleasant and conform to real life observations.
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