Abstract
This work concerns on finding a formula of the length of a wing band within the comfort zone. Bra band elongation (BBE) test is one of the main methods that is being used to validate the comfort level of a bra bottom band when it is on the body. This test validates the suitable bra bottom band length, which is within the comfort zone for the wearer. However, BBE test by trial and error method is time-consuming and cost ineffective. Therefore, this research carries on an analytical method of obtaining a formula for the elongation of a wing band of a bra, which is assumed to be a rectangular thin plate. We obtain a new formula for the weighted elongation of the wing band using the Navier equation and compare the analytical weighted elongations and experimental elongation with different force values for the different bra sizes and for the different fabrics. With the weighted parameters, the model on elongation of the wing band fits with actual data and we provide specific different weighted parameters for different bra sizes to find the exact original length of the wing band of a bra.
Highlights
The study of theory of elasticity in fabrics is a fascinating subject and plays a prominent role in textile science and engineering.[1,2,3,4] The article[5] studied the mechanical properties of a woven fabric, the shear deformation analysis and Poisson’s ratios for woven fabrics in 2005
We have obtained a mathematical formula for the elongation of the wing band of the bra by assuming the wing band as a rectangular thin plate
The formula for the elongation of the wing band depends on the density of the fabric, stretched length, the height of the wing band, Poisson’s ratio, the modulus of the fabric and the force applied on the wing band in the horizontal direction
Summary
The study of theory of elasticity in fabrics is a fascinating subject and plays a prominent role in textile science and engineering.[1,2,3,4] The article[5] studied the mechanical properties of a woven fabric, the shear deformation analysis and Poisson’s ratios for woven fabrics in 2005. We provide our own mathematical formula for the weighted elongation of the wing band of a bra when it is stretched and is in the range of the comfort zone. We studied the theory of elasticity on fabrics and using fundamental equations of elasticity and Navier equations for plane stress and we derive a formula for the weighted elongation of the wing band of a bra within the comfort zone.
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