Skip to main content
Log in

Mechanics of deformed media and thermodynamics

  • Published:
Polymer Mechanics Aims and scope

Abstract

The application of thermodynamics to the mechanics of deformed media is reviewed. The thermodynamic methods were found to be especially effective in studying creep strains, laws of limiting stress, and other phenomena in polymeric materials. The review encompasses the most important studies in this field published mainly during the past five years.

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

Literature cited

  1. I. I. Gol'denblat, Some Problems in the Theory of Elastic and Plastic Deformations [in Russian], Moscow (1950).

  2. L. R. Treloar, Physics of Rubber Elasticity, Oxford University Press (1958).

  3. I. I. Gol'denblat, Some Problems of Mechanics of Deformed Media [in Russian], Moscow (1955).

  4. I. I. Gol'denblat, Nonlinear Problems of Elasticity Theory [in Russian], Moscow (1969).

  5. G. Tsigler, Extremal Principles of Thermodynamics of Irreversible Processes and Continuum Mechanics [in Russian], Moscow (1966).

  6. G. Vesseling, "Thermodynamic approach to rheology," Mekhanika, No. 2 (1967).

  7. A. I. Chudnovskii, "Nonisothermal deformation of a viscoelastic medium," Zh. Prikl. Mekhan. Tekh. Fiz., 3 (1968).

  8. A. D. Kovalenko, "Thermodynamic principles of thermoelasticity," in: Thermal Stresses in Structural Elements [in Russian] (1969), Chap. 8.

  9. A. A. Il'yushin and B. E. Pobedra, Principles of Mathematical Theory of Thermoviscoelasticity [in Russian], Moscow (1970).

  10. K. Trusdell, "Thermodynamics for beginners," Mekhanika, No. 3 (1970).

  11. A. Sommerfeld, Thermodynamics and Statistical Physics [Russian translation], Moscow (1955).

  12. I. Meixner, "Processes in simple thermodynamic materials," Mekhanika, No. 3 (1970).

  13. I. Meixner, "Neuere Entwicklungen der Thermodynamik," in: Veröffentlichungen Naturwissenschaften, Kölu (1959), p. 72.

  14. C. Eckart, Phys. Rev.,58 (1940).

  15. V. V. Bolotin, I. I. Gol'denblat, and A. F. Smirnov, Structural Mechanics. Modern State and Prospects of Development [in Russian], Moscow (1972).

  16. C. Zener and R. Randall, Trans. Amer. Inst. Min. Met. Engrs,137, 41 (1940).

    Google Scholar 

  17. C. Zener, W. Otis, and R. Nuckolls, Phys. Rev.,56, 53 (1938).

    Google Scholar 

  18. L. S. Lapidus, "Application of principles of thermodynamics of irreversible processes to the study of creep of mineral rocks," in: Studies on Mechanics of Mineral Rocks [in Russian], Alma-Ata (1965).

  19. A. E. Kalinnikov, "Thermodynamic analysis of the dependence between stress and strain," Inzh. Zh.,5, No. 3 (1965).

  20. V. I. Ozerov, "Thermoviscoelastic deformations of certain polymers," Prikl. Mekh.,1, 11 (1965).

    Google Scholar 

  21. B. Coleman and M. Gurtin, "Thermodynamics and propagation of waves in nonlinear hereditary media," Mekhanika, No. 2 (1967).

  22. B. E. Pobedrya, "Thermodynamics of viscoelastic models," in: Applied Mathematics and Programming [in Russian], Moscow (1969).

  23. I. I. Gol'denblat and V. L. Bazhanov, "Laws of conservation and equations of state in continuum mechanics," Mekhan. Polim., No. 1 (1969).

  24. B. E. Pobedrya, "Related problems of thermoviscoelasticity," Mekhan. Polim., No. 3 (1969).

  25. B. E. Pobedrya, "Related problems of mechanics of a continuous medium," in: Elasticity and Nonelasticity [in Russian], Moscow (1971), Chap. 2.

  26. V. D. Coleman and D. R. Owen, "Thermodynamics of materials with a memory," Mekhanika, No. 5 (1971).

  27. I. I. Gol'denblat and V. L. Bazhanov, "Thermodynamic theory of creep," in: Elasticity and Nonelasticity [in Russian], Moscow (1971), Chap. 2.

  28. V. L. Bazhanov and I. I. Gol'denblat, "Thermodynamics of irreversible processes and the Lyapunov functions method," Zh. Prikl. Mekhan. Tekh. Fiz., No. 4 (1972).

  29. S. K. Godunov and E. I. Romenskii, "Nonstationary equations of nonlinear theory of elasticity in Eulerian coordinates," Zh. Prikl. Mekhan. Tekh. Fiz., No. 5 (1972).

  30. E. A. Barbashin and N. N. Krasovskii, "Stability of motion on the whole," Dokl. Akad. Nauk SSSR,86, No. 3 (1972).

  31. D. C. Drucker, "Stress-strain relations in the plastic range of metals," in: Rheology: Theory and Applications (edited by F. R. Eirich), Prikl. Mat. Mekh., Academic Press (1956–1959).

  32. A. A. Il'yushin, "The plasticity postulate," Prikl. Mat. Mekh.,25, No. 3 (1961).

  33. G. A. Gemmerling, "The plasticity postulate," Prikl. Mat. Mekhn.28, No. 1 (1964).

  34. A. A. Vakulenko and I. Z. Pallei, "The problem of plasticity theory for a medium undergoing deformation at variable temperatures," in: "Studies on Elasticity and Plasticity [in Russian], Leningrad (1966), Chap. 5.

  35. R. A. Svelin, Thermodynamics of the Solid State [in Russian], Moscow (1968).

  36. Ya. A. Komenyarzh, "Some properties of equations of a model of related thermoplasticity," Prikl. Mat. Mekh.36, No. 6 (1972).

  37. G. R. Reis, "Nonelastic equations of state for solid bodies — theory with internal variables and its application to the plasticity theory of metals," Mekhanika, No. 2 (1973).

  38. I. I. Gol'denblat and V. A. Kopnov, "Strength of glass-fiber reinforced plastics at a complex stressed state," Mekhan. Polim., No. 3 (1965).

  39. I. I. Gol'denblat and V. A. Kopnov, Criteria of Strength and Plasticity of Construction Materials [in Russian], Moscow (1968).

  40. I. I. Gol'denblat and V. A. Kopnov, "Representation of strength criteria of isotropic materials in a two-dimensional invariant space," Mekhan. Polim., No. 2 (1970).

  41. I. I. Gol'denblat and V. A. Kopnov, "General criteria of strength of isotropic media," Mekhan. Polim., No. 2 (1971).

  42. I. I. Gol'denblat and V. A. Kopnov, "General theory of strength criteria of isotropic and anisotropic materials," Probl. Prochn., No. 2 (1971).

  43. D. A. Kiyalbaev and A. I. Chudnovskii, "Breakdown of deforming bodies," Zh. Prikl. Mekhan. Tekh. Fiz., No. 3 (1970).

  44. D. A. Kiyalbaev, V. M. Chebanov, and A. I. Chudnovskii, "Viscous failure at variable temperatures and stresses," in: Problems of Mechanics of a Solid Deformed Body [in Russian], Leningrad (1970).

  45. I. I. Gol'denblat, V. L. Bazhanov, and V. A. Kopnov, "Entropy principle in the theory of creep and limiting stress of polymeric materials," Mekhan. Polim., No. 1 (1971).

  46. A. M. Skudra, F. Ya. Bulavs, and K. A. Rotsens, Creep and Static Fatigue of Reinforced Plastics [in Russian], Riga (1971).

  47. Ya. B. Zel'dovich, Shock Waves [in Russian], Moscow (1946).

Download references

Authors

Additional information

Moscow. Translated from Mekhanika Polimerov, No. 6, pp. 1007–1018, November–December 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gol'denblat, I.I., Bazhanov, V.L. Mechanics of deformed media and thermodynamics. Polymer Mechanics 10, 868–876 (1974). https://doi.org/10.1007/BF00856234

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00856234

Keywords

Navigation