The significance of linear stress-length maintenance in thin and thick wall elastic spheres

Author

Holt, William W. ; Rhode, Edward A. ; Kines, Helga ; Konhilas, John ; Holt, Joseph P.

Author_Institution

Dept. of Med., Illinois Univ., Chicago, IL, USA

fYear

1994

fDate

3-6 Nov 1994

Firstpage

303

Abstract

Many elastic biologic structures are spherical or nearly so: their mechanics with regard to pressure and distending volume are not widely understood. Pressure (P) and volume (V) during inflation and deflation were determined in 9 rubber spheres with wall thickness ratio (WTR) ranging from 0.01 to 1.79. P rose with inflation: with more inflation P peaked and declined. The stress-length relation (SLR) remained linear. Wall and chamber cross-sectional areas (WAX and CAX, respectively) were nonlinearly related to middle-mass radius (MMR). Sphere elasticity (E _sp) differed from that of longitudinal strips (E_st) of the same material. P results from system geometry and linear SLR. The PV relation is curvilinear and E_sp differs from E_st by a factor of the square root of 2. These results have implications for the understanding of biologic structures

Keywords

biomechanics; elasticity; rubber; biologic structures understanding; cross-sectional area; deflation; distending volume; elastic biologic structures; inflation; linear stress-length maintenance; longitudinal strips; middle-mass radius; pressure; rubber spheres; sphere elasticity; stress-length relation; system geometry; thick wall elastic spheres; thin wall elastic spheres; wall thickness ratio; Biological materials; Biological tissues; Elasticity; Electrostatic precipitators; Geometry; Nonlinear equations; Rubber; Stress; Strips; Thin wall structures;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 1994. Engineering Advances: New Opportunities for Biomedical Engineers. Proceedings of the 16th Annual International Conference of the IEEE

Conference_Location

Baltimore, MD

Print_ISBN

0-7803-2050-6

Type

conf

DOI

10.1109/IEMBS.1994.412033

Filename

412033