Local nonsymmetrical postbuckling equilibrium path of the thin FGM plate

• Autorzy: Kolakowski Z. , Mania R. J. , Grudziecki J.

Warianty tytułu

PL

Niesymetryczna lokalna ścieżka równowagi pokrytycznej cienkiej płyty z materiału funkcjonalnie gradientowego

• Języki publikacji: EN

Abstrakty

EN

The influence of the imperfection sign (sense) on local postbuckling equilibrium path of plates made of functionally graded materials (FGMs) has been analyzed. Koiter’s theory has been used to explain this phenomenon. In the case of local buckling, a nonsymmetrical stable equilibrium path has been obtained. The investigations focus on a comparison of the semi-analytical method (SAM) and the finite element method (FEM) applied to the postbuckling nonlinear analysis of thin-walled complex FG plated structures.

PL

W pracy przedstawiono analizę wpływu znaku imperfekcji wstępnej na charakterystykę lokalnej pokrytycznej ścieżki równowagi płyty wykonanej z materiału gradientowego. Do wyjaśnienia tego efektu zastosowano teorię Koitera. W przypadku lokalnej utraty stateczności uzyskano niesymetryczne stateczne ścieżki równowagi. Prezentowane badania były skoncentrowane na porównaniu wyników uzyskanych na podstawie własnej metody pół-analitycznej z wynikami uzyskanymi przy zastosowaniu metody elementów skończonych w nieliniowej analizie cienkościennych konstrukcji płytowych wykonanych z materiałów gradientowych.

Słowa kluczowe

EN

FGM; FEM; Koiter’s theory; semi-analytical method; post-buckling path

PL

materiały funkcjonalnie gradientowe; MES; teoria Koitera; metoda pól-analityczna; ścieżka pokrytyczna

• Wydawca: Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne
• Czasopismo: Eksploatacja i Niezawodność
• Rocznik: 2015
• Tom: Vol. 17, no. 1
• Strony: 135--142
• Opis fizyczny: Bibliogr. 27 poz., rys., tab.

Twórcy

autor

Kolakowski Z.

• Lodz University of Technology TUL Department of Strength of Materials (K12) PL - 90-924 Lodz, ul. Stefanowskiego 1/15, Poland

autor

Mania R. J.

• Lodz University of Technology TUL Department of Strength of Materials (K12) PL - 90-924 Lodz, ul. Stefanowskiego 1/15, Poland

autor

Grudziecki J.

• Lodz University of Technology TUL Department of Strength of Materials (K12) PL - 90-924 Lodz, ul. Stefanowskiego 1/15, Poland

Bibliografia

• 1. Birman V, Byrd LW. Modeling and analysis of functionally materials and structures. Applied Mechanics Review, 60, 2007, 195-216.
• 2. Bodaghi M, Saidi AR. Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory. Applied Mathematical Modeling 2010; 34:3659-73.
• 3. Byskov E, Hutchinson JW. Mode interaction in axially stiffened cylindrical shells. AIAA J 1977;15(7):941-48.
• 4. Hui-Shen S. Functionally graded materials - Nonlinear analysis of plates and shells. CRC Press, Taylor & Francis, London; 2009.
• 5. Jones RM. Mechanics of Composite Materials. 1999; 2nd ed. Taylor & Francis, London.
• 6. Koiter WT. General theory of mode interaction in stiffened plate and shell structures. WTHD Report 590, Delft; 1976 p.41.
• 7. Koiter WT, Pignataro M. An alternative approach to the interaction between local and overall buckling in stiffened panels. In: Buckling of Structures Proc. of IUTAM Symposium, Cambridge; 1974 p.133-48.
• 8. Kolakowski Z, Krolak M. Modal coupled instabilities of thin-walled composite plate and shell structures. Composite Structures 2006. 76:303-13.
• 9. Kolakowski Z, Kowal-Michalska K. (Eds.) Selected problems of instabilities in composite structures. A Series of Monographs, Technical University of Lodz, Poland. 1999.
• 10. Kolakowski Z, Kubiak T. Load-carrying capacity of thin-walled composite structures. Composite Structures 2005; 67:417-26.
• 11. Kolakowski Z, Mania JR. Semi-analytical method versus the FEM for analysis of the local post-buckling. Composite Structures 2013; 97:99-106.
• 12. Kolakowski Z. A semi-analytical method for the analysis of the interactive buckling of thin-walled elastic structures in the second order approximation. Int. J. Solids Structures 1996. Vol.33, No.25, p. 3779-90.
• 13. Kolakowski Z, Krolak M, Kowal-Michalska K. Modal interactive buckling of thin-walled composite beam–columns regarding distortional deformations. Int. J. Eng. Sci, 1999; 37: 1577–96.
• 14. Kowal-Michalska K, Mania RJ. Static and dynamic buckling of FGM plates under compressive loading. Proceedings ICCES’11 Conference, Nanjing. 2011.
• 15. Kyung-Su Na, Ji-Hwan Kim. Volume fraction optimization of functionally graded composite panels for stress reduction and critical temperature. Finite Elements in Analysis and Design 2009; 45: 845-51.
• 16. Naderi A, Saidi AR. On pre-buckling configuration of functionally graded Mindlin rectangular plates. Mechanics Research Com. 2010; 37: 535-8.
• 17. Panda Satyajit, Ray MC. Nonlinear finite element analysis of functionally graded plates integrated with patches of piezoelectric fiber reinforced composite. Finite Elements in Analysis and Design. 2008; 44: 493-504.
• 18. Casciaro R. An introduction to the computational asymptotic post-buckling analysis of slender elastic structures. University of Calabria, Italy. Department of Mechanical Engineering - Laboratory for Mechanics of Materials Graduate Course. 2001.
• 19. Reddy JN. Analysis of functionally graded plates. Int. J. Numer. Meth. Eng 2000; 47: 663-84.
• 20. Reddy JN. Mechanics of laminated composite plates and shells. CRC Press, London, 2004.
• 21. Samsam Shariata BA, Javaherib R BA, Eslami BA. Buckling of imperfect functionally graded plates under in-plane compressive loading Thin-Walled Structures 2005; 43:1020-36.
• 22. Singha MK, Prakash T, Ganapathi M. Finite element analysis of functionally graded plates under transverse load. Finite Elements in Analysis and Design 2011; 47: 453-60.
• 23. Sohn K-J, Kim J-H. Structural stability of functionally graded panels subjected to aero-thermal loads, Composite Structures, 82, 2008, 317-325.
• 24. Tsung-Lin Wu, Shukla KK, Jin H Huang. Post-buckling analysis of functionally graded rectangular plates. Composite Structures 2007; 81: 1-10.
• 25. van der Heijden AMA. WT Koiter’s Elastic Stability of Solids and Structures. (Proceedings of the Internation.) Cambridge University Press 1st edition. 2008.
• 26. Zagari G. Koiter's asymptotic numerical methods for shell structures using a corotational formulation. PhD Thesis Universitua della Calabria 2009. Dottorato di Ricerca in Meccanica Computazionale, XXII ciclo, Settore scientifico disciplinare ICAR-08.
• 27. Zhou D-G, Zhou Y-H. A theoretical analysis of FGM thin plate based on physical neutral surface. Computational Material Science 2008; 44: 716-20.