Polymer Mechanics

, Volume 12, Issue 2, pp 167–172 | Cite as

Study of prefracture states of rigid polymers. 2. Elastic limit and strength

  • N. I. Shishkin
  • M. F. Milagin
Article
  • 30 Downloads

Abstract

An explanation is offered for the relation between the magnitude of stresses at the elastic limit (strength) and the strains in rigid polymers. The possibility of high-elastic deformation and orienting processes, which have been considered in [1], is also explained here. Expressions are derived that relate the elastic limit to the strain, the modulus of elasticity, the coefficient of thermal expansion, and the Poisson ratio.

Keywords

Polymer Thermal Expansion Poisson Ratio Elastic Limit Rigid Polymer 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    M. F. Milagin and N. I. Shishkin, "Study of prefracture states of rigid polymers. 1. Forced high-elastic deformation," Mekh. Polim., No. 1, 8–14 (1976).Google Scholar
  2. 2.
    P. P. Kobeko, Amorphous Substances [in Russian], Moscow (1952).Google Scholar
  3. 3.
    A. P. Aleksandrov, "Frost resistance of high-molecular-weight compounds," in: Proceedings of the First and Second Conferences on High-Molecular-Weight Compounds [in Russian], Moscow-Leningrad (1945), pp. 49–59.Google Scholar
  4. 4.
    Yu. S. Lazurkin, "Forced high-elastic deformation of rigid polymers," Doctoral Dissertation, Moscow (1954).Google Scholar
  5. 5.
    J. D. Ferry, Viscoelastic Properties of Polymers, 2nd ed., Wiley (1970).Google Scholar
  6. 6.
    Ya. I. Frenkel', Kinetic Theory of Fluids [in Russian], Moscow-Leningrad (1945).Google Scholar
  7. 7.
    S. N. Zhurkov and S. A. Abasov, "Temperature—time characteristics of the strength of polymer fibers," Vysokomolek. Soedin.,3, No. 3, 441–449 (1961).Google Scholar
  8. 8.
    V. R. Regel', A. I. Slutsker, and É. E. Tomashevskii, "Kinetic character of the strength of solids," Usp. Fiz. Nauk,106, No. 2, 193–228 (1972).Google Scholar
  9. 9.
    V. E. Gul', N. Ya. Sidneva, and B. A. Dogadkin, "Role of intermolecular forces in the mechanism of high-elastic deformation. 5. Effect of intermolecular coupling on the strength of polymers," Kolloidn. Zh.,13, No. 6, 422–431 (1951).Google Scholar
  10. 10.
    I. V. Razumovskaya, D. S. Sanditov, and I. A. Luk'yanov, "Activation energy of particle displacement and the free volume in molten glasses," Zh. Fiz. Khim.,43, No. 2, 495–497 (1969).Google Scholar
  11. 11.
    G. M. Bartenev and I. A. Luk'yanov, "Dependence of the glass-transition temperature of amorphous substances on the heating rate and relation between the glass-transition temperature and the activation energy," Zh. Tekh. Fiz.,29, No. 8, 1486–1498 (1955).Google Scholar
  12. 12.
    M. F. Milagin, A. D. Gabaraeva, and N. I. Shishkin, "Change in the birefringence during annealing of oriented polystyrene," Fiz. Tverd. Tela,6, No. 5, 1413–1417 (1964).Google Scholar
  13. 13.
    N. I. Shishkin, "Dependence of the kinetic characteristics of fluids and glasses on the temperature, the pressure, and the volume," Zh. Tekh. Fiz.,26, No. 7, 1461–1482 (1956).Google Scholar
  14. 14.
    N. I. Shishkin, "Glass transition in fluids and polymers under pressure. 5. Formation of compact glasses," Fiz. Tverd. Tela,2, No. 2, 350–357 (1960).Google Scholar
  15. 15.
    R. F. Boyer, "The relation of transition temperatures to chemical structure in high polymers," Rubber Chem. Technol.,36, No. 5, 1303–1421 (1963).Google Scholar
  16. 16.
    R. Simha and R. F. Boyer, "On a general relation involving the glass-transition temperatures and the coefficients of expansion of polymers," J. Chem. Phys.,37, No. 5, 1003 (1962).Google Scholar
  17. 17.
    T. G. Fox and P. J. Flory, "Second-order transition temperatures and related properties of polystyrene. 1. Influence of molecular weight," J. Appl. Phys.,21, No. 6, 603–620 (1950).Google Scholar
  18. 18.
    M. L. Williams, R. F. Landel, and J. D. Ferry, "The temperature-dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids," J. Amer. Chem. Soc.,77, No. 14, 3701–3707 (1955).Google Scholar
  19. 19.
    J. M. O'Reilly, "The effect of pressure on the glass-transition temperature and dielectric relaxation time of polyvinyl acetate," J. Polymer Sci.,57, No. 165, 429–444 (1962).Google Scholar
  20. 20.
    U. Bianchi, "Pressure effects on glass transition in polymers," J. Phys. Chem.,69, No. 5, 1497–1504 (1965).Google Scholar
  21. 21.
    A. W. Nolle and J. J. Billings, "Proton magnetic resonance in polyisobutylene at various temperatures, pressures, and frequencies," J. Chem. Phys.,30, No. 1, 84–90 (1959).Google Scholar
  22. 22.
    E. B. Fainshtein and L. A. Igonin, "Effect of pressure on the electrical relaxation processes in polyethylene terephthalate," Vysokomolek. Soedin., Ser. A,11, No. 5, 1150–1156 (1969).Google Scholar
  23. 23.
    M. F. Milagin and N. I. Shishkin, "Elasticity and strength of nonoriented semicrystal-line polymers," Mekh. Polim., No. 6, 963–968 (1975).Google Scholar
  24. 24.
    A. D. Gabaraeva, M. F. Milagin, and N. I. Shishkin, "Orienting pull and the strength of crystallizing polymers," Mekh. Polim., No. 6, 971–978 (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • N. I. Shishkin
  • M. F. Milagin

There are no affiliations available

Personalised recommendations