Experimental Mechanics

, Volume 21, Issue 6, pp 227–233 | Cite as

Time-dependent optical characterization in the photoviscoelastic study of stress-wave propagation

This study compares a theoretical viscoelastic solution and its predicted fringe patterns for stress-wave propagation in a thin rod of polyurethane material with the photoviscoelastic data from a similar experimental arrangement
  • R. J. Arenz
  • U. Soltész


Dynamic photoviscoelastic analysis requires the time and temperature dependency of the material to be taken into account. Mechanical relaxation processes have generally been incorporated in dynamic analysis, but there has been no widespread application of optical relaxation or creep functions over the complete time spectrum in photomechanics of birefringent polymers. Using material characterizations previously developed, this study compares a theoretical viscoelastic solution and its predicted fringe patterns for stress-wave propagation in a thin rod of polyurethane material (Solithane 113) with the photoviscoelastic data from a similar experimental arrangement. The agreement demonstrates both the validity and general necessity of such an approach for the time-domain characteristic of wave-propagation phenomena in low-modulus polymers.


Polyurethane Experimental Arrangement Widespread Application Material Characterization Fringe Pattern 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Perkins, H.C., “Movies of Stress Waves in Photoelastic Rubber,”J. Appl. Mech.,20,140–141 (1953).Google Scholar
  2. 2.
    Durelli, A.J. andRiley, W.F., “Experiments on Transient Two-Dimensional Stress and Strain Distributions,”J. Appl. Mech.,24,69–76 (1957).Google Scholar
  3. 3.
    Dally, J.W., Riley, W.F. andDurelli, A.J., “A Photoelastic Approach to Transient Stress Problems Employing Low Modulus Materials,”J. Appl. Mech.,26,613–620 (1959).Google Scholar
  4. 4.
    Dally, J.W., Riley, W.F. andDurelli, A.J., “Photoelastic Study of Stress Wave Propagation in Large Plates,”Proc. SESA,17,33–50 (1960).Google Scholar
  5. 5.
    Durelli, A.J. andRiley, W.F., Introduction to Photomechanics, Prentice-Hall, Englewood Cliffs, NJ (1965).Google Scholar
  6. 6.
    Arenz, R.J. andWilliams, M.L., “A Photoelastic Technique for Ground Shock Investigation,”Ballistic Missile and Space Technology, Academic Press, New York,4,137–152 (1960).Google Scholar
  7. 7.
    Daniel, I.M., “Static and Dynamic Stress Analysis in Viscoelastic Materials,”PhD Thesis, Illinois Institute of Technology, Chicago, IL (1964).Google Scholar
  8. 8.
    Daniel, I.M., “Dynamic Properties of a Photoviscoelastic Materials,”Experimental Mechanics,6 (5),225–234 (1966).Google Scholar
  9. 9.
    Daniel, I.M., “Stresses Around a Circular Hole in a Viscoelastic Plate Subjected to Point Impact on One Edge,”Developments in Mechanics,3 (1),Solid Mech. and Matls.,491–507 (1967).MathSciNetGoogle Scholar
  10. 10.
    Peeters, R.L. andParmerter, R.R., “Optical Calibration of Photoviscoelastic Materials on a Microsecond Time Scale,”Experimental Mechanics,14 (11),445–451 (1974).CrossRefGoogle Scholar
  11. 11.
    Peeters, R.L. andParmerter, R.R., “Photoviscoelasticity on a Microsecond Time Scale,”Experimental Mechanics,18 (9),344–349 (1978).CrossRefGoogle Scholar
  12. 12.
    Brinson, H.F., “The Behavior of a Photoelastic Polyurethane at Elevated Temperatures,”Experimental Mechanics,16 (1),1–5 (1976).CrossRefGoogle Scholar
  13. 13.
    Hemann, J.H., Achenbach, J.D. andFang, S.J., “A Dynamic Photoelastic Study of Stress-wave Propagation Through an Inclusion,”Experimental Mechanics,16 (8),291–299 (1976).CrossRefGoogle Scholar
  14. 14.
    Tang, C.T. andMcConnell, K.G., “A Mathematical Model of Hysol 8705 Under Impact Loading,”Experimental Mechanics,17 (3),113–119 (1977).CrossRefGoogle Scholar
  15. 15.
    Williams, M.L. andArenz, R.J., “The Engineering Analysis of Linear Photoviscoelastic Materials,”Experimental Mechanics,4 (9),249–262 (1964).See also Arenz, R.J., Ferguson, C.W., Kunio, T. and Williams, M.L., “The Mechanical and Optical Characterization of Hysol 8705 with Application to Photoviscoelastic Analysis,” WL TDR-64-4, Kirtland AFB, NM (1964).Google Scholar
  16. 16.
    Kunio, T. andMivano, Y., “Photoviscoelastic Analysis by Use of Polyurethane Rubber,”Applied Mechanics (Proc. of the Twelfth Intl. Cong. of Appl. Mech.),ed. by Hetényi, M. andVincenti, W.G., Springer-Verlag, New York, 269–276 (1969).Google Scholar
  17. 17.
    Arenz, R.J., “Uniaxial Wave Propagation in Realistic Viscoelastic Materials,”J. Appl. Mech.,31,17–21 (1964).Google Scholar
  18. 18.
    Knauss, W.G., “Uniaxial Wave Propagation in a Viscoelastic Material Using Measured Material Properties,”J. Appl. Mech.,35,449–453 (1968).Google Scholar
  19. 19.
    Landel, R.F., “Mechanical Properties of a Polyurethane Elastomer in the Rubber-to-Glass Transition Zone,”J. Coll. Sci.,12,308–320 (1957).Google Scholar
  20. 20.
    Arenz, R.J., Unpublished results (1970).Google Scholar
  21. 21.
    Arenz, R.J., Ferguson, C.W. andWilliams, M.L., “The Mechanical and Optical Characterization of a Solithane 113 Composition,”Experimental Mechanics,7 (4),183–188 (1967).See also Williams, M.L., Beebe, W.M., Ferguson, C.W. and Arenz, R.J., “The Mechanical and Optical Characterization of Solithane 113 and Investigation of Optical Lag in Photoviscoelastic Analysis,” WL TR-64-115, Kirtland AFT, NM (1965).CrossRefGoogle Scholar
  22. 22.
    Arenz, R.J., “Theoretical and Experimental Studies of Wave Propagation in Viscoelastic Materials,”PhD Dissertation, California Institute of Technology, Pasadena, CA (1964).Google Scholar
  23. 23.
    Williams, M.L., Landel, R.F. andFerry, J.D., “The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-forming Liquids,”J. Am. Chem. Soc.,77,3701–3707 (1955).Google Scholar
  24. 24.
    Wright, J.K., Shock Tubes, Wiley, New York (1961).Google Scholar
  25. 25.
    Soltész, U., “Luftstoss-Induzierte Wellenausbreitung in Einem Linear Viskoelastischen Stab,”Bericht Nr. 3/71, Institut für Festkörpormechanik, Freiburg i. Br., F.R.G. (1971).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1981

Authors and Affiliations

  • R. J. Arenz
    • 1
  • U. Soltész
    • 2
  1. 1.Gonzaga UniversitySpokane
  2. 2.Fraunhofer-Institut für WerkstoffmechanikFreiburgFRG

Personalised recommendations