Stain Formation on Deforming Inelastic Cloth.

Area of Science:

• Computational physics
• Material science
• Textile engineering

Background:

• Simulating fluid dynamics on deformable surfaces like textiles is complex.
• Accurate modeling of stain formation requires accounting for fabric properties and motion.

Purpose of the Study:

• To develop a novel computational approach for simulating stain formation and evolution on moving fabrics.
• To integrate fabric properties, secondary effects, and motion dynamics into a unified simulation framework.

Main Methods:

• Homogenization of fabric properties into anisotropic diffusion tensors.
• Physically-based modeling of secondary effects (absorption, adsorption, evaporation).
• Integration of governing equations on a deforming triangle mesh, incorporating inertial forces from cloth motion.

Main Results:

• Accurate simulation of pigmented solution diffusion on knitted and woven fabrics.
• Inclusion of secondary effects and motion-induced forces influencing stain shape and evolution.
• Demonstration of plausible stain behavior on various fabrics through numerical experiments.

Conclusions:

• The proposed method provides a robust and efficient approach for simulating realistic stain formation on moving textiles.
• This technique has practical applications in textile design, care, and virtual prototyping.
• The model successfully captures the interplay between fabric properties, fluid diffusion, and dynamic motion.