Buckling analysis of woven fabric under simple shear along arbitrary directions

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, theta(0degrees less than or equal to theta < 90degrees) say, to the warp. The buckling direction is related to the angle theta and the critical amount of shear. As an illustration, the curve of the buckling direction angle versus the amount of shear for theta = 30degrees 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 theta = 30degrees is plotted. This work also provides foundations for numerical methods to simulate KES shear buckling for fabric.