Modelling of the Deformation Diffusion Areas on a Para-Aramid Fabric with B-Spline Curves

Abstract

The geometrical modelling of the planar energy diffusion behaviors of the deformations on a para-aramid fabric has been performed. In the application process of the study, in the experimental period, drop test with bullets of different weights has been applied. The B-spline curve-generating technique has been used in the study. This is an efficient method for geometrical modelling of the deformation diffusion areas formed after the drop test. Proper control points have been chosen to be able to draw the borders of the diffusion areas on the fabric which is deformed, and then the De Casteljau and De Boor algorithms have been used. The Holditch area calculation according to the beams taken at certain fixed lengths has been performed for the B-spline border curve obtained as a closed form. After the calculations, it has been determined that the diffusion area where the bullet with pointed end was dropped on a para-aramid fabric is bigger and the diffusion area where the bullet with rounded end was dropped is smaller when compared with the areas where other bullets with different ends were dropped.

The Serret-Frenet Frame of the Rational Bezier Curves in the Euclidean-3 Space by Algorithm Method

“…Corollary 3.2. 15 The results of the Bezier curve with the Osculator circle and sphere equations at the points 0 t  , 1 t  and their applications in textile yarn can be analyzed from the references in [11][12] produced from the BEBAP 2014.08 from the Bitlis Eren University Scientific Research Projects.…”

“…Kuşak Samancı and et al (2015), for the first time, computed the Serret-Frenet and Bishop frame of the initial and ending points of the Bezier curves in the Euclidean 3-space [10]. After that, Kuşak Samancı (2016) analyzed the Bezier and B-spline curves along with the properties of the textile fibers [11,12]. The Bezier curves were analyzed in the Minkowski space for the , ab   be a regular planar curve.…”

The quasi-frame of the rational and polynomial Bezier curve by algorithm method in Euclidean space

“…In addition, Kus ¸ak Samancı (2016) analyzed some differential geometric properties in some knitted fabrics by utilizing the Bezier curves. Again, Kus ¸ak Samancı et al (2017) computed the deformation areas which were left by bullet marks in ballistic fabrics with the help of the B-spline curve approach. Georgiev (2008) analyzed the Bezier curves in 3-D Minkowski space for the first time.…”