STRESS-STRAIN STATE OF A PHYSICALLY NON-LINEAR THREE-LAYER RECTANGULAR PLATE WITH A COMPRESSED FILLER

LEONENKO Denis V., D. Sc. in Phys. and Math., Assoc. Prof., Professor of the Department “Structural Мechanics”, Belarusian State University of Transport, Gomel, Republic of Belarus, 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.

ZELENAYA Anastasiya S., Mas. Techn. Sc., Post-Graduate Student of the Department “Structural Мechanics”, Belarusian State University of Transport, Gomel, Republic of Belarus, 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.

The stress-strain state of physically nonlinear asymmetric three-layer rectangular plates with a compressed filler was studied. For outer layers Kirchhoff’s hypotheses are accepted, the deformed normal remains rectilinear in a rigid compressible filler. Ilyushin’s “elastic” solutions method was used while solving the issue. Numerical results for a three-layer metal-polymer plate are presented.

three-layer rectangular plate, compressed filler, plasticity, stress-strain state

• Bolotin V.V., Novichkov Yu.N. Mekhanika mnogosloynykh konstruktsiy [Mechanics of Layered Structures]. Mosсow, Mashinostroenie Publ., 1980. 375 p.
• Starovoytov E.I. Vyazkouprugoplasticheskie sloistye plastiny i obolochki [Viscoelastoplastic laminated plates and shells]. Gomel, Belarusian state university of transport Publ., 2002. 344 p.
• Starovoytov E.I., Yarovaya A.V., Leonenko D.V. Deformirovanie trekhsloynykh elementov konstruktsiy na uprugom osnovanii [Deformation of three-layer construction elements on the elastic foundation]. Mosсow, FIZMATLIT Publ., 2006. 379 p.
• Starovoytov E.I., Zhuravkov M.A., Leonenko D.V. Trekhsloynye sterzhni v termoradiatsionnykh polyakh [Three-layer bars in thermoradiation fields]. Minsk, Belaruskaya navuka Publ., 2017. 275 p.
• Chigarev A.V., Borisov A.V. Issledovanie modeley mnogosloynykh kostey cheloveka na prochnost pri nagruzhenii [Strength models of multilayer human bones by loading]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 1(1), pp. 85–87.
• Vasilevich Yu.V., NeumerzhitskiyV.V. Metod rascheta effektivnosti vibroizolyatsii odnosloynogo i mnogosloynogo ograzhdeniy v tverdoy uprugoy srede [Calculating method of vibrating insulation efficiency of single and multi-layer
  enclosures in solid elastic medium]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 1(1), pp. 56–58.
• Dzhagangirov A.A. Predelnaya nagruzka koltsevoy trekhsloynoy plastinki, vnutrenniy sloy kotoroy armirovan chetyrmya sloyami volokon [Limiting load of circular three-layer plate with a fiberreinforced middle layer]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2017, no. 4(41), pp. 96–100.
• Dorovskaya E.P. Tsilindricheskiy izgib pryamougolnoy trekhsloynoy uprugoplasticheskoy plastiny na deformiruemom osnovanii [Cylindrical bending of a rectangular three-layer elastoplastic plate on a deformable base]. Materialy, tekhnologii,
  instrumenty [Materials, technologies, tools], 2007, vol. 12, no. 3, pp. 6–11.
• Starovoytov E.I., Leonenko D.V. Tsilindricheskiy izgib pryamougolnoy trekhsloynoy plastiny v temperaturnom pole [Cylindrical bending of rectangular sandwich plates in the temperature field]. Trudy BelGUT “Mekhanika. Nauchnye issledovaniya i uchebno-metodicheskie razrabotki” [Proc. of the BelSUT “Mechanics. Scientific researches and educationalmethodical developments”], 2014, vol. 8, pp. 179–185.
• Ilyushin A.A., Ogibalov P.M. Uprugoplasticheskie deformatsii polykh tsilindrov [Elastoplastic deformations of hollow cylinders]. Mosсow, Moscow state university Publ., 1960. 224 p.
• Zelenaya A.S. Izgib uprugoy trekhsloynoy pryamougolnoy plastiny so szhimaemym zapolnitelem [Bending of an elastic three-layer rectangular plate with a compressible filler]. Matematicheskoe modelirovanie, kompyuternyy i naturnyy eksperiment v estestvennykh naukakh [Mathematical modeling, computer and natural experiment in the natural sciences], 2017, no. 3. Available at: mathmod.esrae.ru/15-52 (accessed 08 December 2017).
• Zelenaya A.S. Napryazhenno-deformirovannoe sostoyanie uprugoy trekhsloynoy pryamougolnoy plastiny so szhimaemym zapolnitelem [Stress-strain state of the elastic three-layer plate with the compressible filler]. Trudy BelGUT “Mekhanika. Issledovaniya i innovatsii” [Proc. of the BelSUT “Mechanics. Research and Innovation”], 2017, vol. 10, pp. 67–74.