A mathematical model is presented for the buckling of fabric under combined shear and tensile forces. This model takes account of the anisotropic characteristics of the fabric in terms of the flexural rigidities in the warp and weft directions, its corresponding Poisson's ratios, the shear modulus, and the width to height ratio of the rectangular specimen. Numerical solutions show that the critical shear force at which buckling starts and the number of buckles increase with increasing pre-tension. Furthermore, as the height or width of the rectangular specimen decreases, the critical shear force increases. For most fabrics where the flexural rigidity in the warp direction is higher than that in the weft direction, the results suggest that during tailoring, it is beneficial to orient the fabric so that the tension is in the warp direction to reduce the possibility of shear buckling in the garment. I In the process of tailoring a flat piece of fabric into a three-dimensional surface, shearing must occur. This ability of fabric to deform within its plane is important not only to tailorability [3,8,13], but also to the handle of fabric [5, 61. As the shear stress increases, however, a critical stage is reached where the fabric starts to deform out of its plane, i.e., it buckles. The shear force at which this occurs is termed the critical shear force. Behre [I] treated the fabric specimen under combined shear and tension as a cantilever beam and used the classical theory of elasticity to obtain the criterion where V, is the critical shear force, N is the tensile load, and w/h is the ratio of width to height of the specimen and is called the aspect ratio. Cusick [2] arrived at a similar equation by simply estimating the couple at which the tension at two diagonal corners reduces to zero. Treloar [ 12] considered the stress distribution in a sheet and showed that the tensile stress in a direction normal to the direction of shearing cannot eliminate compressive stresses in certain directions of the sheet; therefore, it cannot eliminate an inherent tendency to buckling. All these classical static analyses treated the fabric as an isotropic material and neglected an important parameter: the fabric flexural rigidity. ' In this paper, we discuss a more appropriate model for fabric buckling in which anisotropic characteristics of the fabric are accounted for. The results are then used to discuss the influence of the aspect ratio, the tensile stress, and the flexural rigidity on the critical shear stress.Theory . The energy method of Rayleigh-Ritz [ 10, 11 was used to investigate the buckling of a rectangular piece of fabric subjected to shear and tensile loads as shown _ in Figure 1. This method is based on the principle that during loading, the elastic strain energy DU stored in a structure is equal to the work done 0 Tby the applied loads, i. e., FIGURE 1. A rectangular specimen subjected to shear ( V) and tensile (N) forces per unit length; h and w are the height and width of the specimen.