Skip to main content
Log in

Use of the holophotoelastic method for three-dimensional stress analysis

A new manufacturing and freezing technology for photoelastic materials is described

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

This paper suggests a new manufacturing and freezing technology for photoelastic materials which produces stress-optical coefficient ratios,B/A, different from −0.5. By means of the absolute relardation method and the immersion method, the complete experimental stress solutions for the sphere under diametrical compression and for the closure head of a high-pressure vessel have been found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

A,B :

stress-optical coefficients

σ ijk :

principal stresses

n o :

index of refraction of materials in unstressed state

n i, nj, nk :

indices of refraction of materials in stressed state in the direction of principal stress or secondary principal stress

δ:

absolute retardation

λ:

wavelength

σ rty :

radial, circumferential and axial stresses

N x, Ny :

fringe orders of the absolute retardation inx-andy-directions

N t, Nr :

fringe orders of isochromatics in circumferential and radial directions

D, d :

diameter

R, r :

radius

R o :

radius of sphere

t :

thickness of model or slice

\(\bar \sigma _r \) :

average stress,\(\bar \sigma = P/\pi R_o ^2 \)

f :

fringe value of the material

C=B/A :

stress-optical coefficient ratio

ν:

Poisson's ratio

References

  1. Nisida, M. andSaito, H., “Application of Interferometric Method to Three-dimensional Stress Analysis,”scientific papers of the Institute of Phys. and Chem. Res.,63 (2),25 (June 1969).

    Google Scholar 

  2. Post, D., “On the Interferometric Method of Stress Analysis in Three-dimensional Photoelasticity,”Experimental Mechanics,10 (4),172–174 (April 1970).

    Google Scholar 

  3. Hovanesian, J.D., “Application of Photoelasticity to Frozen Two-dimensional Models with Extensions to Three-dimensional Models,” SESA Fall Meeting, Houston, TX (Oct. 1969).

  4. Dhir, S.K. andPeterson, H.A., “An Application of Holography to Complete Stress Analysis of Photoelastic Models,”Experimental Mechanics,11 (12)560 (Dec. 1971).

    Google Scholar 

  5. Srinath, L.S. andMehrota, C.L., “On the Interferometric Method of Stress Analysis,”Proc. SESA,72 (1),170–171 (1970).

    Google Scholar 

  6. Sanford, R.J. andParks, V.J., “On the Limitation of Interferometric Methods in Three-dimensional Photoelasticity,”Experimental Mechanics,13 (11),464–471 (Nov. 1973).

    Google Scholar 

  7. Parks, V.J. andSanford, R.J., “On the Role of Material and Optical Properties in Complete Photoelastic Analysis,”Experimental Mechanics,16 (12),441–447 (Dec. 1976).

    Google Scholar 

  8. Ward, I.M., “Mechanical Properties of Solid Polymers,”Wiley-Interscience, John Wiley & Sons Ltd., New York (1971).

    Google Scholar 

  9. Dai, F.-L. and Liu, X.-L., “Application of Image Holo-Photoelastic Method to Plane Stress Analysis,” J. Tsinghua Univ., (1) (1977).

  10. Liu, X.-L. and Dai, F.-L., “An Application of Laser Scattered-Light Photoelasticity to Stress Analysis of High-pressure Vessel,” J. Tsinghua Univ., (1) (1974).

  11. Sternberg, E. andRosenthal, F., “The Elastic Sphere Under Concentrated Loads,”J. Appl. Mech., 19 Trans. ASME, 74, 413–442 (1952).

    Google Scholar 

  12. Zienkiewccz, O.C., “The Finite Element Method in Engineering Science,”McGraw-Hill, London (1971).

    Google Scholar 

  13. Durelli, A.J., “Complete Experimental Solutions of Three-Dimensional Elastic Problems,”J. Strain Anal.,9 (1),42–52 (Jan. 1975).

    Google Scholar 

  14. Sciammarella, C.A. andQuarintanilla, G., “Techniques for the Determination of Absolute Retardation in Photoelasticity,”Experiental Mechanics,12 (2),57 (Feb. 1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fu-lung, D., Kuo-cheng, C. Use of the holophotoelastic method for three-dimensional stress analysis. Experimental Mechanics 22, 468–475 (1982). https://doi.org/10.1007/BF02325425

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02325425

Keywords

Navigation