 | | 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
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| In English (Mech. Solids): | | 4760 |
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| V. A. Peleshko, "Construction of constitutive relations of viscoelasticity and creep under unsteady-state and complex loadings," Mech. Solids. 41 (3), 114-131 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
3 |
Pages |
114-131 |
| Title |
Construction of constitutive relations of viscoelasticity and creep under unsteady-state and complex loadings |
| Author(s) |
V. A. Peleshko (Moscow) |
| Abstract |
The design of structures subject to variable one-parameter or multi-parameter
loading requires methods describing the behavior of materials subject to
unsteady-state and complex loadings. In this situation, the theories of
viscoelasticity and creep based on constant-stress tests lead to systematic
errors. To account for the effects caused by the variation of the intensity
and the direction of loading, two additional stain deviator terms are
introduced: one depends on the rate of change of the averaged stress intensity
and the other on the angle between the current stress deviator and the rate of
change of the averaged stress deviator (the averaging is performed over the
preceding time interval with a certain memory function). Both terms have the
form of hereditary integrals with decaying kernel, in the case of viscoplastic
materials, or constant kernel, in the case of materials with essentially
irreversible creep (metals). Moreover, the transient creep strain deviator is
represented as the sum of three terms that take into account the retarded
partial reversibility, viscous hardening (due to deformation and ageing), and
viscoplasticity. Methods are proposed for the determination of material
functions of the model and the results are compared with the data of more than
50 creep tests of polyethylene, celluloid, duralumin, and stainless steel
samples subjected to unsteady-state simple and complex loadings. These data
were borrowed from the literature. |
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|
| Received |
09 December 2003 |
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