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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 (Esp) 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.

Original languageEnglish (US)
Title of host publicationAnnual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
PublisherIEEE
Pages303-304
Number of pages2
Volume16
Editionpt 1
Publication statusPublished - 1994
Externally publishedYes
EventProceedings of the 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Part 1 (of 2) - Baltimore, MD, USA
Duration: Nov 3 1994Nov 6 1994

Other

OtherProceedings of the 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Part 1 (of 2)
CityBaltimore, MD, USA
Period11/3/9411/6/94

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ASJC Scopus subject areas

  • Bioengineering

Cite this

Holt, W. W., Rhode, E. A., Kines, H., Konhilas, J., & Holt, J. P. (1994). Significance of linear stress-length maintenance in thin and thick wall elastic spheres. In Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings (pt 1 ed., Vol. 16, pp. 303-304). IEEE.