A Wrinkled Membrane Model for Cloth Draping with Multigrid Acceleration

Abstract

Fabric is modeled as a particular type of membrane formed from two orthogonal families of yarns. In contrast to usual membrane theory, the fabric is regarded to possess a certain compressive rigidity which is much weaker than its tensile rigidity. An energy density function is defined corresponding to the material model. The finite element formulation is based on the total Lagrangian approach. Four node quadrilateral elements are adopted. An accelerated multigrid technique using the conjugate gradient method as basic iterative method is employed to minimize energy to reach the final equilibrium position. Two examples of fabric draping are analyzed using the proposed model. The influence of the material parameters on the draping behavior is discussed.