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

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: Contribution to journal › Conference article › peer-review

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.

Original language	English (US)
Pages (from-to)	303-304
Number of pages	2
Journal	Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
Volume	16
Issue number	pt 1
State	Published - 1994
Event	Proceedings 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 1994 → Nov 6 1994

ASJC Scopus subject areas

Signal Processing
Biomedical Engineering
Computer Vision and Pattern Recognition
Health Informatics

Cite this

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title = "Significance of linear stress-length maintenance in thin and thick wall elastic spheres",

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.",

author = "Holt, {William W.} and Rhode, {Edward A.} and Helga Kines and John Konhilas and Holt, {Joseph P.}",

year = "1994",

language = "English (US)",

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pages = "303--304",

journal = "Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings",

issn = "0589-1019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "pt 1",

note = "Proceedings of the 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Part 1 (of 2) ; Conference date: 03-11-1994 Through 06-11-1994",

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TY - JOUR

T1 - Significance of linear stress-length maintenance in thin and thick wall elastic spheres

AU - Holt, William W.

AU - Rhode, Edward A.

AU - Kines, Helga

AU - Konhilas, John

AU - Holt, Joseph P.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

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M3 - Conference article

SN - 0589-1019

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JO - Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings

JF - Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings

IS - pt 1

T2 - Proceedings of the 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Part 1 (of 2)

Y2 - 3 November 1994 through 6 November 1994

ER -

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

Abstract

ASJC Scopus subject areas

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