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Photovisco-elasto-plastic analysis tested on polyester by the scattered-light method

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Abstract

A three-dimensional photovisco-elasto-plastic model considering the strain rate effect was investigated by the scattered-light method using polyester as a model material. To examine the mechanical and optical properties of the material, tension and torsion tests were carried out on cylindrical specimens under various strain rates at 30°C. The effects of strain rate on the stress-strain relation and scattered-light fringe appearance were evaluated. The equivalent shearing stress-strain relation can be approximated by the Ramberg-Osgood equation with rate-dependent modulus and yield stress. The fringe gradient, when normalized by a rate-dependent yield gradient, can be related to an equivalent strain in the same form regardless of the strain rate. The strain rate can be evaluated from the measurement of the rate of increase of the fringe gradient. Hence, the relation between the fringe gradient and its rate of increase was derived as a function of strain rate. Finally, a method is proposed for the estimation of the visco-elasto-plastic stress and strain in a three-dimensional specimen from the measurement of only the fringe gradient and its rate of increase. The method was successfully applied not only to uniaxial tension but also to pure torsion.

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References

  1. Nisida, M., Hondo, M., and Hasunuma, T., “Studies of Plastic Deformation by the Photoplastic Method,” Proc. 6th Jap. Nat. Congr. Appl. Mech., 137–140 (1957).

  2. Frocht, M.M. andThomson, R.A.Experiments in Mechanical and Optical Coincidence in Photoplasticity,” EXPERIMENTAL MECHANICS,1,43–47 (1961).

    Article  Google Scholar 

  3. Ohashi, Y., “Experimental Stress Analysis by Photo-rheologic Method,” EXPERIMENTAL MECHANICS,13,287–293 (1973).

    Article  Google Scholar 

  4. Javornicky, J., Photoplasticity, Elsevier, New York (1974).

    Google Scholar 

  5. Brinson, H.F., “An Interpretation of Inelastic Birefringence,” EXPERIMENTAL MECHANICS,11,467–471 (1971).

    Article  Google Scholar 

  6. Shimamoto, A., “Calibration of Elastoplastic Behavior for Photoelastic Method (Correspondence of Fringe Order and Strain),”Trans. Jap. Soc. Mech. Engrs. Ser. A,47,959–963 (1981).

    Google Scholar 

  7. Takahashi, S., Suetsugu M., andShimamoto, A., “A Basic Study of the Plastic Strain Freezing Photoplastic Experiment,”Trans. Jap. Soc. Mech. Engrs. Ser. A,53,856–860 (1987).

    Google Scholar 

  8. Dally, J.W. andMulc, A., “Polycarbonate as a Model Material for Three-dimensional Photoplasticity,”J. Appl. Mech.,95,600–605 (1973).

    Google Scholar 

  9. Miki, S., “Photo-elasto-plastic Studies on the Creep of High Polymers,” Proc. 8th Jap. Nat. Congr. Appl. Mech., 231–234 (1959).

  10. Miki, S., Elements of Photoelasticity, Riko Shinsha, Osaka (1974).

    Google Scholar 

  11. Morris, D.H. andRiley, W.F., “A Photomechanics Material for Elastoplastic Stress Analysis,” EXPERIMENTAL MECHANICS,12,448–453 (1972).

    Article  Google Scholar 

  12. Gomide, H.A. andBurger, C.P., “Three-dimensional Strain Distributions in Upset Rings by Photoplastic Simulation,” EXPERIMENTAL MECHANICS,21,361–370 (1981).

    Article  Google Scholar 

  13. Johnson, R.L., “Measurement of Elasto-plastic Stresses by Scattered Light Photomechanics,” EXPERIMENTAL MECHANICS,16,201–208 (1976).

    Article  Google Scholar 

  14. Tadano, S. andIshikawa, H., “Photoplastic Stress Analysis on Cellulose Acetate, (Stress Concentration Factor of a Strip with Hole Considering Rate Effect),”Trans. Jap. Soc. Mech. Engrs. Ser. A,54,1410–1417 (1988).

    Google Scholar 

  15. Hirano, T., Hayashi, Y., andImai, Y., “Photovisco-elasto-plastic Analysis Considering Strain Rate Effect on Polyester under Torsion by Scattered-light Method,”J. Soc. Mat. Sci. Japan,44,213–218 (1995).

    Google Scholar 

  16. Ramberg, W. and Osgood, W.R., “Description of Stress-strain Curves by Three Parameters,” NACA Tech. Note, 902 (1943).

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Hirano, T., Imai, Y. & Hayashi, Y. Photovisco-elasto-plastic analysis tested on polyester by the scattered-light method. Experimental Mechanics 37, 159–164 (1997). https://doi.org/10.1007/BF02317853

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