Buckling Analysis of Woven Fabric Under Simple Shear Along Arbitrary Directions

Abstract

This work continues our study of woven fabric buckling and provides generally analytical results on the buckling of a woven fabric sheet subjected to simple shear along the direction making an angle, θ(0° ≤ θ < 90°) say, to the warp. The buckling direction is related to the angle 0 and the critical amount of shear. As an illustration, the curve of the buckling direction angle versus the amount of shear for θ = 30° is plotted. Out-of- plane fabric buckling is possible, and only a flexural buckling mode can occur. The buckling condition for the flexural mode is also obtained and, as an illustration, a curve for 0 = 30° is plotted. This work also provides foundations for numerical methods to simulate KES shear buckling for fabric.