The determination of magnitude and principal direction of membrane and bending stress differences in plates or thin shells requires four independent items of information, such as the photoelastic retardations and principal directions in two birefringent coatings, one on each face. However, the superposition of a constant membrane and a linearly varying bending stress in general result in a change of direction of the total principal stress through the finite coating thickness. Such rotation of stress introduces considerable difficulties even in the direct determination of the photoelastic effect in known stress fields, and makes the inverse solution of stress distribution from birefringence impossible without additional techniques and data. This paper presents an explicit approximate inverse solution based on simple photoelastic observations in the two coatings, with only partial consideration of the effects of rotation. In its double, reversing path through a coating, polarized light is assumed to suffer the same changes as in a field of linearly varying stress of constant direction parallel to that at incidence and exit. The validity of the direct and inverse solutions was checked experimentally in square plates containing residual membrane stress and subjected to anticlastic bending of various magnitudes and directions. Agreement was very good, especially at the higher loads, even when large stress rotation occurred. Criteria for recognizing potentially inaccurate states with large rotation are also suggested. The proposed method should prove useful in the experimental study of shells.
Skip Nav Destination
Article navigation
March 1971
Research Papers
The Separation of Membrane and Bending Shears in Shell With Two Birefringent Coatings
W. Schumann,
W. Schumann
Eidgeno¨ssische Technische Hochschule, Zurich, Switzerland
Search for other works by this author on:
C. Mylonas,
C. Mylonas
Brown University, Providence, R. I.
Search for other works by this author on:
R. Bucci
R. Bucci
Del Research Corporation, Hellertown, Pa.
Search for other works by this author on:
W. Schumann
Eidgeno¨ssische Technische Hochschule, Zurich, Switzerland
C. Mylonas
Brown University, Providence, R. I.
R. Bucci
Del Research Corporation, Hellertown, Pa.
J. Appl. Mech. Mar 1971, 38(1): 217-226 (10 pages)
Published Online: March 1, 1971
Article history
Received:
May 22, 1969
Revised:
January 30, 1970
Online:
July 12, 2010
Citation
Schumann, W., Mylonas, C., and Bucci, R. (March 1, 1971). "The Separation of Membrane and Bending Shears in Shell With Two Birefringent Coatings." ASME. J. Appl. Mech. March 1971; 38(1): 217–226. https://doi.org/10.1115/1.3408746
Download citation file:
Get Email Alerts
Cited By
Related Articles
Mechanics of Tether Formation in Liposomes
J Biomech Eng (October,2002)
Shells With Edge Loads of Rapid Variation—II
J. Appl. Mech (March,1965)
A Feasibility Study of Ribbon Architecture for PEM Fuel Cells
J. Fuel Cell Sci. Technol (October,2010)
Stresses Around a Rib-Reinforced Elliptic Hole in a Circular Cylindrical Shell Under Tension
J. Pressure Vessel Technol (February,1977)
Related Proceedings Papers
Related Chapters
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels, Third Edition
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels
Analysis of Cylindrical Shells
Stress in ASME Pressure Vessels, Boilers, and Nuclear Components