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Статья
2018

Defining Relations in Mechanics of Cross-Ply Fiber Reinforced Plastics Under Short-Term and Long-Term Monoaxial Load


V. N. PaimushinV. N. Paimushin, R. A. KayumovR. A. Kayumov, S. A. KholmogorovS. A. Kholmogorov, V. M. ShishkinV. M. Shishkin
Русская математика
https://doi.org/10.3103/S1066369X18060087
Abstract / Full Text

For cross-ply fiber reinforced plastics under short- and long-term loading conditions we prove the defining relations. It was shown that in general case total axial strain consists from residual (irreversible) strain of lateral degradation, reversible strain of material’s microrearrangement, and reversible creep strain. We consider issue of experimental determination and problems of identification of mechanical parameters taken into consideration.

Author information
  • Kazan National Research Technical University, ul. K. Marksa 10, Kazan, 420111, RussiaV. N. Paimushin, R. A. Kayumov & S. A. Kholmogorov
  • Kazan Federal University, ul. Kremlyovskaya 18, Kazan, 420008, RussiaV. N. Paimushin
  • Kazan State University of Architecture and Civil Engineering, ul. Zelyonaya 1, Kazan, 420043, RussiaR. A. Kayumov
  • Vyatka State University, 36 Moskovskaya str., Kirov, 610000, RussiaV. M. Shishkin
References
  1. Adamov, A. A., Matveenko, V. P., Methods of Applied Viscoelasticity (Mashinostroenie, Moscow, 2003) [in Russian].
  2. Kayumov, R. A., Teregulov, I.G. Structure of the Constitutive Relations for Hereditarily Elastic Materials Reinforced by Hard Fibers, Journal of Applied Mechanics and Technical Physics 46, No. 3, 405–411 (2005).
  3. Polilov, A. N. Studies on the Mechanics of Composites (Fizmatlit, Moacos, 2015) [in Russian].
  4. Paimushin, V. N., Kholmogorov, S. A., Kayumov, R. A. Experimental Research of Formation Mechanisms for Residual Deformations of a Layered Structure Fibrous Composites Under Cyclic Loading, Uchen. Zap. Kazan Univ., Ser. Fiz.-Maten. Nauki 159, No. 4, 473–492 (2017) [in Russian].
  5. Paimushin, V. N., Polyakova, N. V., Kholmogorov, S. A., Shishov, M. S. Non-uniformly scaled buckling modes of reinforcing elements in fiber reinforced plastic, Russian Mathematics 61, No9, 79–84 (2017).