Analysis to Stress Relaxation Phenomena of Viscoelastic Materials by Means of Irreversible Thermodynamics (Ⅰ)

Abstract:

Through defining a piece of viscoelastic medium as a thermodynamic system described by the generalized coordinates in the stress relaxation process, the evolution equation is derived by making use of the 1st law of thermodynamics, the 2nd law of thermodynamics and the Onsager’s principle. Based on the general solutions of the evolution, the constitutive expressions of uniaxial stress relaxation are obtained for both ideal viscoelastic solid materials and ideal viscoelastic fluid one respectively, in terms of the situation whether the coordinates participating in the entropy production are in stable or neutrally stable equilibrium state. As the result, whether the stress relaxes to a constant or zero depends on whether the free energy in viscoelastic medium is left or not.

• Periodical: Key Engineering Materials (Volumes 297-300)
• Pages: 365-370
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.297-300.365
• Online since: November 2005
• Authors: Guang Ze Dai, Lanying Yu, Jian Ke, Qing Qing Ni
• Keywords: Dissipative Effects, Evolution Equation, Stress Relaxation, Viscoelasticity

References

[1] L. Onsager: Physical Review Vol. 37 (1931), p.405.

[2] L. Onsager: Physical Review Vol. 38 (1931), p.2265.

[3] M.A. Biot: J. Appl. Physics. Vol. 25 No. 11 (1954), p.1385.

[4] R.A. Schapery: J. Appl. Physics. Vol. 35 No. 5 (1964), pp.1451-1465.

[5] R.A. Schapery: Proc. of the 5 th U.S. National Congress of Applied Mechanics (1966), p.511.

[6] G. Dai, S. Araki and K. Saito: Proc. APCATS (1994), p.107.

[7] G. Dai, S. Araki and K. Saito: Theoretical and Applied Mechanics Vol. 44 (1995), p.85.

[8] G. Dai, S. Araki, K. Saito and A. Nakaoka: Theoretical and Applied Mechanics Vol. 46 (1997), p.95.

[9] G. Dai, S. Araki, K. Saito and A. Nakaoka: Theoretical and Applied Mechanics Vol. 47 (1998), p.85.

[10] G. Dai: Journal of Materials Engineering Vol. 11 (2000), p.41.