THE MECHANICAL BEHAVIOR OF FABRICS SUBJECTED TO BIAXIAL STRESS: CANAL-MODEL THEORY OF THE PLAIN WEAVE.
Rept. for May 63-15 May 64,
GENERAL AMERICAN TRANSPORTATION CORP NILES ILL
Pagination or Media Count:
The report presents the results of a theoretical and experimental investigation of the mechanical response of plain weave fabrics to uniform biaxial stress. A theory was derived to predict fabric strains and rupture, based on the use of a canal model of the weave, which characterizes the threads of the weave as round, inextensible, laterally incompressible, perfectly flexible, and frictionless. This model is more accurate than the usual trellis model of the weave, in which the threads are assumed to be straight and frictionlessly pinned at each thread junction. The canal-model theory of the plain weave was applied to all possible states of biaxial stress, and a FORTRAN program was written to compute fabric strains and rupture criteria for plain weaves of any dimensions. The accuracy of canal-model predictions was evaluated experimentally, and compared with the accuracy of similar trellis-model predictions. Shear strain errors of 10 percent were found for the canal-model theory, compared with errors of 90 to 125 percent for the trellis-model theory. Author