Mechanical Properties of Textile Fabrics Part I: Shearing

Behre, Bengt

doi:10.1177/004051756103100201

Cited by 80 publications

(41 citation statements)

References 2 publications

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“…In the region of high aspect ratio (r > 3), the change in critical shear ratio caused by the change in D, and D2 is much larger than the caused by the aspect ratio, although at a smaller aspect ratio (r < 2), the change is equally significant. It is important to note that the critical shear force is related to the critical shear ratio through equation 13, which involves the specimen height h. Thus, as far as the dimension of the specimen is concerned, the critical shear force depends not only on the aspect ratio as analyzed by previous investigators [ 1,2,12], but also on the height of the specimen. In other words, both dimensions of the rectangular specimen play a part in determining the critical shear force.…”

Section: Resultsmentioning

confidence: 94%

A Model for Fabric Buckling in Shear

1985

Textile Research Journal

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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.

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Section: Resultsmentioning

confidence: 94%

A Model for Fabric Buckling in Shear

1985

Textile Research Journal

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“…Thus, the probability dP for the start point to be found in the surface element dA anywhere on the geometry can be obtained by substituting equation (2) into equation (1) and introducing a corrective factor to take into account the total surface area of the geometry. Effectively, the probability decreases not only with increasing distance from the target start point, but also with increasing angle between the local surface normal and the surface normal in the target start point.…”

Section: Randomized Drape Simulationmentioning

confidence: 99%

Multiscale modeling of combined deterministic and stochastic fabric non-uniformity for realistic resin injection simulation

Endruweit

Zeng

Long

2014

Advanced Manufacturing: Polymer & Composites Science

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“…For the analysis the yarns were assumed to be of circular cross-section and incompressible and distributed forces were considered at the cross-sections of the yarns. Many researchers (Behre, 1961;Dahlberg, 1961;Lindberg et al, 1961;Abbott et al, 1971;Abbott et al, 1973) studied and reported the nonlinear nature of bending and shear properties. The approach adopted by Grosberg (Grosberg, 1966) incorporated the effects of friction into the strip 2D bending analysis.…”

Section: Mesomechanical Modelling Of Complex Deformationsmentioning

confidence: 99%