General tube law for collapsible thin and thick-wall tubes

Pavel Kozlovsky (1) , Uri Zaretsky (1) , Ariel Jaffa (2) , David Elad (1)

1 TAU - Department of Biomedical Engineering [Tel Aviv]
2 TAU - Tel Aviv University

Modeling the complex deformations of cylindrical tubes under external pressure is of interest in engineering and physiological applications. The highly non linear post buckling behavior of cross section of the tube during collapse attracted researchers for years. Major efforts were concentrated on studying the behavior of thin wall tubes. Unfortunately, the knowledge on post buckling of thick wall tubes is still incomplete, although many experimental and several theoretical studies have been performed. In this study we systematically studied the effect of the wall thickness on post buckling behavior of the tube. For this purpose, we utilized a computational model for evaluation of the real geometry of the deformed cross sectional area due to negative transmural (internal minus external) pressure. We also developed an experimental method to validate the computational results. Based on the computed cross sections of tubes with different wall thicknesses, we developed a general tube law that accounts for thin or thick wall tubes and fits the numerical data of computed cross sectional areas versus transmural pressures.

Mots clés: Tube-law; Collapsible elastic tubes; Thick-wall tubes; Ultrasound imaging; Active contours

Domaines: Sciences de l'ingénieur [physics]

Pavel Kozlovsky, Uri Zaretsky, Ariel Jaffa, David Elad. General tube law for collapsible thin and thick-wall tubes. Journal of Biomechanics, 2014, ⟨10.1016/j.jbiomech.2014.04.033⟩. ⟨hal-01302932⟩