Deformation of a Circular Elastic Tube between Two Parallel Bars: Quasi-Analytical Geometrical Ring Models

Figure 3

Impact of applied geometrical ring models in absence of buckling, ellipse (full line in ((a), (b), (d), and (e)) and subscript in (c)) and stadium (dashed line in ((a), (b), (d), and (e)) and subscript in (c)), on normalised major axis and normalised area as a function of pinching degree with the maximum difference indicated on each subfigure (<): (a) major axis and (thin dash-dot line), (b) area and (thin dash-dot line), (c) difference between stadium model (subscript ) and ellipse (subscript ) relative to the circular value for major axis (with a maximum difference for pinching degree 52%) and area (with a maximum difference for pinching degree 66%), (d) sensitivity of major axis to a variation of minor axis (switch of most sensitive model for pinching degree 91%), and (e) sensitivity of area to a variation of minor axis (switch of most sensitive model for pinching degree 60%). The maximum difference is indicated as <.

(a)

(b)

(c) and

(d)

(e)