Title :
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
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 (Est) of the same material. P results from system geometry and linear SLR. The PV relation is curvilinear and Esp differs from Est 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;
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
DOI :
10.1109/IEMBS.1994.412033
