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IssuesArchive of Issues2004-4pp.84-91

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Total articles in the database: 10864
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V. E. Apet'yan and D. L. Bykov, "Analysis of non-monotonic stress-strain relationships in viscoelastic materials," Mech. Solids. 39 (4), 84-91 (2004)
Year 2004 Volume 39 Number 4 Pages 84-91
Title Analysis of non-monotonic stress-strain relationships in viscoelastic materials
Author(s) V. E. Apet'yan (Korolev)
D. L. Bykov (Korolev)
Abstract The results of a theoretical analysis of experiments that have shown a non-monotonic strain-stress relationship in filled polymeric materials at constant strain rates are presented. The analysis was based on the nonlinear endochronous theory of aging viscoelastic materials. To approximate the experimental data we utilized the structural components of the specific work of internal forces. This led to good agreement between the theoretical and experimental values of the stress right up to the instant of fracture of the specimens. The change in the components of the specific internal energy is shown graphically, which facilitates the energy-structure analysis of the experimental data.

An increase in the strain rate is established to delay the damage process and to increase the instant at which the stresses start decreasing while the strains continue to increase. This phenomenon is accounted for by the increase of the specific absorbed energy as the strain rate decreases. The fracture condition corresponds to a certain relationship between the instantaneously reversible (elastic) specific energy and the specific absorbed energy that characterizes irreversible changes in the internal structure of the material.
References
1.  D. L. Bykov and D. N. Konovalov, "Nonlinear endochronous theory of aging viscoelastic materials," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 63-76, 2002.
2.  E. Polak, Optimization: Algorithms and Consistent Approximations, Springer-Verlag, New York, 1997.
3.  D. L. Bykov, "Utilization of structural components of specific work of internal forces for the description of strength of viscoelastic materials," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 99-111, 2003.
4.  D. L. Bykov, "Determination of material functions in the nonlinear theory of thermoviscoelasticity using its hierarchical structure," Izv. AN. MTT [Mechanics of Solids], No. 5, pp. 189-205, 1999.
5.  M. Yu. Zezin and Yu. P. Zezin, "The influence of the hydrostatic pressure on the velocity characteristic of the crack resistance of a high-filled polymeric material," Problemy Prochnosti, No. 3, pp. 38-45, 2001.
Received 01 February 2004
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