Geodesic
On the regularities of behavior of an elastic-viscoplastic composite under cyclic loading
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 83-91

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Tests were performed on cyclic loading of the specimens made of ELUR-P carbon tape with the lay-up sequence $[+45^\circ/-45^\circ]_{2s}$ and cold-curing binder XT-$118$. It has been established that when using viscoelasticity relations with Abel's creep kernel, the ratio of viscous parts of strain at times that are shifted by values, that are multiple to the load period does not depend on the amplitude and period of the cyclic load, the parameter that determines the degree of viscosity of the material, but depends only on the parameter determining the degree of attenuation of the creep process. The same property has the amount of energy absorbed in one loading cycle. It is shown that the independence of secant and tangent moduli from the absolute values of maximum and minimum stresses occurs for any kind of load and creep kernels using the linear theory of hereditary elasticity and a particular type of non-linear theory of viscoplastic flow with hardening. A method of sequential identification of creep kernel parameters, relations for viscoplastic and elastic strain based on the results of analysis of experimental data on cyclic loading is proposed. It is based on the hypothesis that at large creep times the rate of viscoplastic strain is much less than the rate of viscoelastic strain. This made it possible, on the basis of theoretical results obtained for the Abel's kernel, to obtain ratios from which it is possible, independently of other mechanical characteristics, to find the attenuation parameter from the strain values, measured experimentally in times shifted by an integer number of periods. The method is illustrated by the example of data processing of real experiments conducted by the authors.
Keywords: unidirectional carbon fiber reinforced plastic, specimen, cyclic loading, creep strain, hereditary theory of elasticity, Abel's core, modulus of elasticity
Mots-clés : composite, identification. 
@article{IVM_2019_5_a7,
     author = {V. N. Paimushin and R. A. Kayumov and S. A. Kholmogorov},
     title = {On the regularities of behavior of an elastic-viscoplastic composite under cyclic loading},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {83--91},
     publisher = {mathdoc},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_5_a7/}
}
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V. N. Paimushin; R. A. Kayumov; S. A. Kholmogorov. On the regularities of behavior of an elastic-viscoplastic composite under cyclic loading. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 83-91. http://geodesic.mathdoc.fr/item/IVM_2019_5_a7/