A MODEL FOR THE DISPLACEMENT BEHAVIOR OF AFTER BUCKLED MEMBRANES AND TEXTILES BASED ON TENSION FIELD THEORY AND EXPERIMENTS

Abstract

THIS PAPER PRESENTS A STUDY ON THE USE OF THE TENSION FIELD THEORY FOR EFICIENT REPRESENTATION OF TEXTILES. A HIGHLY BUCKLED MEMBRANE MODEL PROVIDES THE SIMPLEST APPROACH FOR VISUALIZATION OF VERTICAL FABRICS. THE DIFFERENTIAL EQUATION OF TENSION LINES GIVES THE OUTLINE OF THE WRINKLES. AN EQUATION SYSTEM IS PRESENTED, WHICH, WHEN ITERATIVELY SOLVED SUPPLIES THE BASIC VARIABLES OF REALISTIC FABRIC DISPLACEMENTS: THE NUMBER AND POSITIONS OF WRINKLES, AND THE WRINKLE DEPTH. THE MODEL CAN ALSO REPRESENT IMPORTANT PHYSICAL CHARACTERISTICS OF TEXTILES, AS MALLEABILITY, ELASTICITY AND WEIGHT. HOWEVER THE TENSION FIELD THEORY DOES NOT ATTEMPT TO DESCRIBE THE FIELD OF DISPLACEMENTS NORMAL TO THE MEMBRANE SURFACE, WHICH ARE THE MAIN POINT OF THE WORK HERE PRESENTED. EXPERIMENTAL MEASURES HAVE BEEN DEVELOPED AS A WAY TO VERIFY THE ADEQUACY OF THE EQUATIONS AND TO SUBSIDIZE EMPIRICAL PROPOSITIONS FOR IMPROVEMENT OF THE MODEL. HOW TO USE THIS APPROACH FOR TEXTILE VISUALIZATION IS THE OBJECTIVE OF THIS WORK. ALTHOUGH THE ORIGINAL THEORY IS COMPLEX, THE RESULTING ALGORITHM IS SIMPLER AND FASTER THAN MANY NUMERICAL TREATMENTS ALREADY USED FOR PREDICTION OF THE CLOTH ASPECT. THE IDEA IS TO ¯ND A SIMPLE REALISTIC MODEL THAT TURNS POSSIBLE THE ADDITION IN THE DISPLACEMENT FIELD OF OTHER IMPORTANT NECESSITIES OF THE FASHION INDUSTRY LIKE ANIMATIONS AND TEXTURES.