TY  - JOUR
TI  - Elliptical kinematics of the accretive surface growth
AB  - The stresses within the soft tissue are not constant for some shell surfaces. They vary with position along
the mantle edge. In this paper, we show that elliptical geometry is more convenient to describe this type of surface.
Thus, we introduce the elliptical kinematics along an initial curve and construct some accretive surfaces with an elliptical
cross-section. In fact, these surfaces are not only curves with an elliptical cross-sectional curve, but also the material
points of the surface follow an elliptical trajectory during their formation. This situation can be easily explained through
elliptical motion and elliptical quaternion algebra. Then, we investigate the relationship between velocity and eccentricity
of the surfaces and compare it to the case of circular motion. Furthermore, we visualize some examples to support the
theoretical results through the MAPLE program.
AU  - (Bozkurt) Özdemir, Zehra
AU  - Tuğ, Gül
DO  - 10.3906/mat-2102-76
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 3
SN  - 1300-0098
SP  - 728
EP  - 745
DB  - TRDizin
UR  - http://search/yayin/detay/534936
ER  -