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Stress relaxation in physically nonlinear polymer materials under simultaneous tension and torsion

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Conclusions

1. Application of our method of determining the parameters of physically nonlinear polymer materials from tests in uniaxial tension or in torsion ensures a satisfactory agreement between theoretical and experimental stress-relaxation curves corresponding to other modes of loading.

2. Theoretical stress-relaxation curves for shear (tension) calculated on the basis of parameters which have been determined from approximations of stress-relaxation curves for tension (torsion) fall closely within the confidence interval for an individual measurement (with α=95%).

3. The agreement between theoretical and experimental stress-relaxation curves for a plane state of stress is 2–3 times worse, in terms of the mean-square relative difference, than the agreement between the respective curves for uniaxial tension.

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Literature cited

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    M. R. Kilevits, Ya. Ya. Indulevich, and P. N. Adavich, “Experiment automating system for study of viscoelastic materials during momentary stress relaxation” Mekh. Polim., No. 1, 149–153 (1976).

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    A. F. Kregers and M. R. Kilevits, “A study of stress relaxation in physically nonlinear polymer materials under tension” Mekh. Polim., No. 6, 1103–1107 (1976).

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    A. F. Kregers and U. K. Vilks, “Approximation of the family of creep curves for physically nonlinear polymer materials on a computer” Mekh. Polim., No. 2, 220–229 (1976).

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    P. M. Ogibalov and A. F. Kregers, “Deformation of polymer materials (Survey)” Mekh. Polim., No. 3, 413–421 (1977).

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    A. F. Kregers, “An algorithm for seeking the minimum of a multivariate function by the descent method” Algor. Programmy, No. 2, 9 (1974).

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Additional information

Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 5, pp. 797–803, September–October, 1977.

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Kilevits, M.R., Kregers, A.F. Stress relaxation in physically nonlinear polymer materials under simultaneous tension and torsion. Polymer Mechanics 13, 666–671 (1977). https://doi.org/10.1007/BF00860315

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Keywords

  • Polymer
  • Confidence Interval
  • Relative Difference
  • Polymer Material
  • Stress Relaxation