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Modelling of annular plates stability with functionally graded structure interacting with elastic heterogeneous subsoil

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This contribution deals with the modelling and analysis of stability problems for thin composite annular plates interacting with elastic heterogeneous subsoil. The object of analysis is an annular plate with a deterministic heterogeneous microstructure and the apparent properties smoothly varying along a radial direction. The aim of contribution is to formulate two macroscopic mathematical models describing stability of this plate. The considerations are based on a tolerance averaging technique. The general results are applied to the analysis of some special stability problems. The obtained results of critical forces with those obtained from finite element method are compared.
Rocznik
Strony
485--498
Opis fizyczny
Bibliogr. 26 poz., rys., tab.
Twórcy
autor
  • Lodz University of Technology, Department of Structural Mechanics, Łodź, Poland
autor
  • Lodz University of Technology, Department of Structural Mechanics, Łodź, Poland
autor
  • Lodz University of Technology, Department of Structural Mechanics, Łodź, Poland
Bibliografia
  • 1. Baron E., 2003, On dynamic stability of an uniperiodic medium thickness plate band, Journal of Theoretical and Applied Mechanics, 41, 305-321
  • 2. Benyoucef S., Mecgab I., Tounsi A., Fekrar A., Atmane H., Bedia A.A., 2010, Bending of thick functionally graded plates resting on Winkler-Pasternak elastic foundation, Mechanics of Composite Materials, 46, 425-434
  • 3. Gomulinski A ., 1967, Determination of eigenvalues for circular plates resting on elastic foundation with two moduli, Archives of Civil Engineering, 2, 183-203
  • 4. Javaheri R., Eslami MR., 2002, Bukling of functionally graded plates under in-plane compressive loading, Zeitschrift f¨ur Angewandte Mathematik und Mechanik, 82, 277-283
  • 5. Jędrysiak J., 2001, A contribution to the modeling of dynamic problems for periodic plates, Engineering Transactions, 49, 65-87
  • 6. Jedrysiak J., Michalak B., 2005, Some remarks on dynamic results for averaged and exact models of thin periodic plates, Journal of Theoretical and Applied Mechanics, 43, 405-425
  • 7. Jędrysiak J., Michalak B., 2011, On the modelling of stability problems for thin plates with functionally graded structure, Thin-Walled Structures, 49, 627-635
  • 8. Jikov V.V., Kozlov C.M., Oleinik O.A., 1994, Homogenization of Differential Operators and Integral Functionals, Berlin-Heidelberg, Springer Verlag
  • 9. Matysiak S.J., 1995, On the microlocal parameter method in modeling of periodically layered thermoelastic composites, Journal of Theoretical and Applied Mechanics, 33, 481-487
  • 10. Michalak B., 1998, Stability of elastic slightly wrinkled plates, Acta Mechanica, 130, 111-119
  • 11. Michalak B., 2012, Dynamic modeling thin skeletonal shallow shells as 2D structures with nonuniform microstructures, Archive of Applied Mechanics, 82, 949-961
  • 12. Michalak B., Wirowski A., 2012, Dynamic modelling of thin plate made of certain functionally graded materials, Meccanica, 47, 1487-1498
  • 13. Michalak B., Woźniak C., Woźniak M., 2007, Modelling and analysis of certain functionally graded heat conductor, Archive of Applied Mechanics, 77, 823-834
  • 14. Mossakowski J., 1960, Buckling of circular plates with cylindrical orthotropy, Archiwum Mechaniki Stosowanej, 12, 583-595
  • 15. Naderi A., Saidi A.R., 2011, Exact solution for stability analysis of moderately thick functionally graded sector plates on elastic foundation, Composite Structures, 93, 629-638
  • 16. Nagórko W., Wągrowska M., 2002, A contribution to modeling of composite solids, Journal of Theoretical and Applied Mechanics, 40, 149-158
  • 17. Ostrowski P., Michalak B., 2011, Non-stationary heat transfer in hollow cylinder with functionally graded material properties, Journal of Theoretical and Applied Mechanics, 49, 385-399
  • 18. Tomczyk B., 2005, On stability of thin periodically densely stiffened cylindrical shells, Journal of Theoretical and Applied Mechanics, 43, 427-455
  • 19. Tylikowski A., 2005 Dynamic stability of functionally graded plate under in-plane compression, Mathematical Problems in Engineering, 4, 411-424
  • 20. Tung H., Duc N., 2010, Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads, Composite Structures, 92, 1184-1191
  • 21. Wierzbicki E., 1995, Nonlinear macro-micro dynamics of laminated structures, Journal of Theoretical and Applied Mechanics, 33, 1-17
  • 22. Wierzbicki E., Woźniak C., Woźniak M., 1997, Stability of micro-periodic materials under finite deformations, Archives of Mechanics, 49, 143-158
  • 23. Woźniak C. (Edit.), 2001, Mechanics of Elastic Plates and Shells (in Polish), PWN, Warszawa
  • 24. Woźniak C., Michalak B., Jędrysiak J., (Edit.), 2008, Thermomechanics of Microheterogeneous Solids and Structures, Wydawnictwo Politechniki Łodzkiej, Łodź
  • 25. Woźniak C. et al., 2010, Mathematical Modelling and Analysis in Continuum Mechanics of Microstructured Media, Silesian Technical University Press, Gliwice
  • 26. You L.H., Wang J.X., Tang B.P., 2009, Deformations and stresses in annular disks made of functionally graded materials subjected to internal and/or external pressure, Meccanica, 44, 283-292
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2408f799-2579-49b6-8558-60c10077d573
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