Hostname: page-component-77c89778f8-gvh9x Total loading time: 0 Render date: 2024-07-21T06:45:34.406Z Has data issue: false hasContentIssue false
  • English
  • Français

The Separation of Principal Stresses in Photo-Elastic Analysis

Published online by Cambridge University Press:  28 July 2016

E. K. Frankl
Get access Rights & Permissions [Opens in a new window]

Extract

The photo-elastic method can be used for either of two main purposes:

  1. a) As a qualitative design tool to obtain indications of possibly unsuspected sources of stress concentration.

  2. (b) As a means of obtaining a complete analysis of a two-dimensional stress problem, i.e., the determination of the separate magnitudes of the principal stresses at any point, as well as the direction of the principal planes relative to some axis of reference.

All that is required for (a) is the stress pattern which becomes visible and can be photographed when a loaded model cut from a sheet of suitable material is placed in a field of circularly polarised light.

Type
Research Article
Information
The Aeronautical Journal , Volume 50 , Issue 432 , December 1946 , pp. 974 - 985
Copyright
Copyright © Royal Aeronautical Society 1946

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. “ Treatise on Photo-elasticity,” Coker, and Filon, , Cambridge University Press, 1931.Google Scholar
2. “ Photo-elasticity for Engineers,” Filon, , Cambridge University Press.Google Scholar
3. “ Photo-elasticity,” Frocht, , John Wiley and Sons, 1941.Google Scholar
4. “ Calculation of Stresses within the Boundary of Photo-elastic Models,” Weller, and Shortley, , J. Applied Mechanics, vol. 6, no. 2, June 1939.Google Scholar
5. “A Membrane Analogy supplementing Photoelasticity,” McGivern, and Supper, , Trans. American Soc. Mechanical Engineers, Vol. 56, 1934.Google Scholar
6. “ Determination of the Sum of the Principal Stresses by Graphical and Mechanical Means,” Grosser, , Proc. 15th Eastern Photo-elasticity Conference.Google Scholar
7. “ Electric Method for the Solution of Laplace's Equation,” Paschkis, , Proc. of the Society for Experimental Stress Analysis, Vol. 2, No. 2.Google Scholar
8. “A general experimental solution of Poisson's Equation for two independent variables,” Hogan, , J. Australian Institute of Engineers, April 1934.Google Scholar
9. “ New Method of Deriving Stresses Graphically from Photo-elastic Observations,” Neuber, , Proc. Roy. Soc., series A, Vol. 141, 1933.Google Scholar
10. “A Rational Approach to the Numerical Solution of Laplace's Equation,” Frocht, and Leven, , J. Applied Physics, Vol. 12, 1941.CrossRefGoogle Scholar
11. “On the Application of Interference Fringes to Stress Analysis,” Frocht, , J. of the Franklin Institute, 1933.Google Scholar
12. “ Sur une nouvelle methode optique de, determination des tensions interieurs,” Favre, , Publications due Laboratoire de Photo-elasticite de L'Ecole Polytechnique Federal de Zurich, 1929.Google Scholar
13. “ Photo-elastic determination of stress,” Brahtz, . Trans. American Soc. Civil Engineers, Vol. 102.Google Scholar
14. “Introduction to the theory of Photo-elasticity and its Applications to Problems of Stress Analysis,” Arthur, , J. Roy. Aeronautical Soc., August 1943.Google Scholar
15. “A rapid method for the determination of principal stresses across sections of symmetry from photo-elastic data,” Frocht, , J. Applied Mech., Vol. 5, No. 1, March 1938.CrossRefGoogle Scholar
16. “An Application of the Interferometer Strain Gauge in Photo-elasticity,” Vose, , J. Applied Mech., September 1935.Google Scholar
17. “ Photo-elastic Separation of Principal Stresses by Oblique Incidence,” Drucker, D. C., J. App. Mech., Vol. 10, No. 3, Sept. 1943.Google Scholar
18. “ Methode purement optique de determination des tensions interieures se produisant dans les constructions,” Favre, H., Schweizerische Bauzeitung, Vol. 90 (1927), p. 291.Google Scholar
19. “ Sur une nouvelle methode pour l'etude experimentale des tensions elastiques,” Fabry, C., C. R. Acad. Sci. Paris, Vol. 190, p. 457.Google Scholar
20. “ Experimentelle Losung des Ebenen Spannungsproblems,” den Hartog, J. P., Z. angew. Math. Mech., Vol. 11, p. 156.Google Scholar
21. “ Uber ein verbessertes elektrisches Verfahren zur Auswertung der Gleichung Δϕ = 0 und seine Anwending bei photo-elastichen Untersuchungen,” Meyer, H. and Tank, F., Helv. phys. Acta, Vol. 8, p. 315.Google Scholar
22. “Application of soap film studies to photo-elastic stress determination,” Weibel, E. E., Int. Ass. of Bridge and Structural Eng., Vol. 3, p. 421.Google Scholar
23. “An Electrical Potential Analyser,” Redshaw, S. C., preprint I. Mech. E., 1946.Google Scholar
24. “ Methode purement optique pour determiner les deformations d'epaisseurs des modeles,” Tesar, V., Rev. opt., Vol. 11, p . 97.Google Scholar
25. “ The Numerical Solution of Partial Differential Equations,” Emmons, H. W., Quarterly of App. Maths., Vol. 2, No. 3, Oct. 1944.Google Scholar