3_2025_sen_8

Title of the article MODELING OF BENDING NON-ISOTHERMAL VISCOELASTICVISCOPLASTIC DYNAMIC DEFORMATION OF SHALLOW REINFORCED SHELLS. PART 2. ANALYSIS OF CALCULATION RESULTS
Authors

YANKOVSKII Andrei P., D. Sc. in Phys. and Math., Leading Research Scientist of the Laboratory of Fast Processes Physics, Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
In the section MECHANICS OF DEFORMED SOLIDS
Year 2025
Issue 3(72)
Pages 74–81
Type of article RAR
Index UDK 539.4
DOI https://doi.org/10.46864/1995-0470-2025-3-72-74-81
Abstract Calculations were performed and their results were analyzed for cases of isothermal and non-isothermal viscoelasticviscoplastic and viscoelastic-plastic bending deformation of cylindrical panels made of fiberglass, having a rectangular elongated shape in plan. Shallow shells with a traditional 2D reinforcement structure and with a spatial 4D structure are compared at the same fiber consumption. Fiberglass constructions are rigidly fixed along the entire edge and frontally loaded with excess short-term pressure of high intensity from the concave or convex front surface. It has been demonstrated that during the oscillation process, in the absence of external heat sources of non-mechanical origin, the temperature reaches peak values that are only 8–17 °C higher than the temperature of the natural state of the composite panel. The stabilized maximum temperature values (after the oscillations of the construction have died down) are only 3–10 °C higher than the temperature of the natural state. Shallow shells with the 4D reinforcement structure heat up somewhat more than structures with the 2D structure. It is shown that despite such insignificant heating, the calculation of the inelastic dynamics of such panels must be carried out, taking into account not only the sensitivity of the plastic properties of their components of the composition to the rate of strain, but also the temperature response. It has been demonstrated that under dynamic loading of a curved panel from the side of any of the front surfaces, in the process of oscillations, it clicks in the direction of concavity. As a result, after vibration damping, the elongated cylindrical fiberglass panel acquires a corrugated shape with folds oriented in the longitudinal direction. It is shown that in a relatively thin shallow shell, replacing the 2D reinforcement structure with a spatial 4D structure is ineffective.
Keywords shallow shells, curved panels, coupled thermomechanical problem, reinforcement, viscoelasticviscoplasticity, inelastic dynamics, residual state, numerical solution
  You can access full text version of the article.
Bibliography
  1. Yankovskii A.P. Modelirovanie izgibnogo neizotermicheskogo vyazkouprugo-vyazkoplasticheskogo dinamicheskogo deformirovaniya pologikh armirovannykh obolochek. 1. Formulirovka zadachi i metody resheniya [Modeling of bending non-isothermal viscoelasticviscoplastic dynamic deformation of shallow reinforced shells. Part 1. Problem formulation and solution method]. Mechanics of machines, mechanisms and materials, 2020, no. 2(71), pp. 62–69. DOI: https://doi.org/10.46864/1995-0470-2025-2-71-62-69 (in Russ.).
  2. Yankovskii A.P. Modelirovanie neizotermicheskogo vyazkouprugoplasticheskogo deformirovaniya gibkikh pologikh armirovannykh obolochek pri dinamicheskom nagruzhenii [Modeling of nonisothermal viscoelastic-plastic deformation of flexible shallow reinforced shells under dynamic loading]. Composite materials constructions, 2024, iss. 1(173), pp. 11–21. DOI: https://doi.org/10.52190/2073-2562_2024_1_11 (in Russ.).
  3. Houlston R., DesRochers C.G. Nonlinear structural response of ship panels subjected to air blast loading. Computers& structures, 1987, vol. 26, iss. 1–2, pp. 1–15. DOI: https://doi.org/10.1016/0045-7949(87)90232-X.
  4. Lukanin V.N., et al. Teplotekhnika [Heat engineering]. Moscow, Vysshaya shkola Publ., 2003. 671 p. (in Russ.).
  5. Handbook of composites. New York, Van Nostrand Reinhold Company Inc., 1982. 786 p.
  6. Kompozitsionnye materialy [Composite materials]. Kiev, Nauchnaya mysl Publ., 1985. 592 p. (in Russ.).
  7. Yankovskii A.P. Modelirovanie neizotermicheskogo vyazkouprugo-vyazkoplasticheskogo deformirovaniya izgibaemykh armirovannykh plastin [Modeling of non-isothermal viscoelasticviscoplastic deformation of bending reinforced plates]. Izvestiya RAN. Mekhanika tverdogo tela, 2023, no. 5, pp. 147–169. DOI: https://doi.org/10.31857/S0572329923700071 (in Russ.).
  8. Vasilev V.V., et al. Kompozitsionnye materialy [Composite materials]. Moscow, Mashinostroenie Publ., 1990. 512 p. (in Russ.).
  9. Tarnopolskii Yu.M., Zhigun I.G., Polyakov V.A. Prostranstvenno-armirovannye kompozitsionnye materialy [Spatially reinforced composite materials]. Moscow, Mashinostroenie Publ., 1987. 224 p. (in Russ.).