 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| D.L. Bykov and V.A. Peleshko, "Constitutive Relations of Strain, Anisotropic Degradation, and Fracture of Filled Polymer Materials in Prevailing-Tension Processes with Varying Axis Direction and Relaxations," Mech. Solids. 44 (5), 705-711 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
5 |
Pages |
705-711 |
| DOI |
10.3103/S0025654409050070 |
| Title |
Constitutive Relations of Strain, Anisotropic Degradation, and Fracture of Filled Polymer Materials in Prevailing-Tension Processes with Varying Axis Direction and Relaxations |
| Author(s) |
D.L. Bykov (Central Research Institute for Engineering, Pionerskaya 4, Korolev, Moscow oblast, 141070 Russia)
V.A. Peleshko (Central Research Institute for Engineering, Pionerskaya 4, Korolev, Moscow oblast, 141070 Russia, peleshkobva@inbox.ru) |
| Abstract |
In the course of monotone uniaxial tension, filled polymer
materials quasi-isotropic in the initial state experience
increasing structure fractures (local adhesive separation and cohesive tearing) whose directions are mainly perpendicular to the tension axis. After complete unloading and relaxation, the fracture lips close, and weaker secondary bonds are formed between them. Taking into account the anisotropy of the above-described process of deterioration of the material structure and mechanical properties (degradation), we suggest to characterize the state of each elementary material fiber by its own values of the structure parameters (damage, fracture, and maximum strain), which can be calculated (according to the model equations of uniaxial tension in a constant direction) from the effective strain history of the fiber. It is determined as the product of the current values of two factors, namely, the strain intensity and the influence function, whose argument is the angle between the directions of the fiber under study and the maximum principal strain. The form of the influence function depends on the material and reflects the degree of anisotropy of the damage arising in it. As a model of uniaxial tension in a constant direction, we use the earlier-proposed version of the nonlinear endochronic theory of ageing viscoelastic materials, which, in addition, contains the secondary bond parameter (with its own equation). We show how the proposed constitutive relations permit one to describe the decrease in the resistance and the ultimate strain during the second axial tension compared with a similar tension from the initial state and to determine the dependence of these effects on the angle between the directions of the preliminary and repeated tensions. |
| Keywords |
filled polymer material, anisotropic degradation, constitutive relations |
| References |
| 1. | D. L. Bykov and V. A. Peleshko,
"Constitutive Relations for Strain and Failure of Filled Polymer Materials in Dominant Axial Tension Processes under Various Barothermal Conditions,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 40-65 (2008)
[Mech. Solids (Engl. Transl.)
43 (6), 870-891 (2008)]. |
| 2. | V. E. Apet'yan and D. L. Bykov,
"Determining Nonlinear Viscoelastic Characteristics of Filled Polymer Materials,"
Kosmonavtika i Raketostroenie
3 (28), 202-214 (2002). |
| 3. | D. R. Hayhurst and B. Storakers,
"Creep Rupture of the Andrade Shear Disk,"
Proc. Roy. Soc. London. Ser. A
349 (1658), 369-382 (1976). |
| 4. | V. A. Peleshko,
"Utilization of a Damage Surface for the Description of Creep and Long-Term Strength in the Case of Complex Loading,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 124-138 (2003)
[Mech. Solids (Engl. Transl.)
38 (2), 101-112 (2003)]. |
|
| Received |
25 May 2009 |
| Link to Fulltext |
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