Modelling of FGM plates

• Autorzy: Jemielita G. , Kozyra Z.

Identyfikatory

DOI

10.15632/jtam-pl.56.3.829

• Języki publikacji: EN

Abstrakty

EN

The paper presents formulation of the problem of layered plates composed of two various isotropic materials. We assume that the first material M₁ is characterized by the following parameters: Young’s modulus E₁ and Poisson’s ratio ν₁, whereas the second one by E₂ and ν₂, respectively. Let us consider two modelling cases for functionally graded material (FGM) plates. These cases are related to an appropriate distribution of the material within two-layer and three-layer systems. Our objective is to compare the stiffness of both the two-layer and there-layer plates with the FGM plate containing various proportions between the material components M₁ and M₂.

Słowa kluczowe

EN

modelling; layer plate; FGM plate; stiffness of the plate

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 3
• Strony: 829--839
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Jemielita G.

• Warsaw University of Life Sciences, Faculty of Civil and Environmental Engineering, Warsaw, Poland

autor

Kozyra Z.

• Warsaw University of Technology, Faculty of Civil Engineering, Warsaw

Bibliografia

• 1. Delale F., Erdogan F., 1983, The crack problem for a nonhomogeneous plane, ASME Journal of Applied Mechanics, 50, 609-615
• 2. Efraim E., 2011, Accurate formula for determination of natural frequencies of FGM plates basing on frequencies of isotropic plates, Procedia Engineering, 10, 242-247
• 3. Kim J., Reddy J.N., 2014, Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory, Composite Structures, 103, 86-98
• 4. Kumar J.S., Reddy B.S., Reddy C.E., Kumar Reddy K.V., 2011, Geometrically non linear analysis of functionally graded material plates using higher order theory, International Journal of Engineering Science and Technology, 3, 1, 279-288
• 5. Mahamood R.M., Esther T. Akinlabi E.T., Shukla M., Pityana S., 2012, Functionally graded material: an overview, Proceedings of the World Congress on Engineering, WCE 2012, III, London, U.K.
• 6. Mokhtar B., Abedlouahed T, Abbas A.B., Abdelkader M., 2009, Buckling analysis of functionally graded plates with simply supported edges, Leonardo Journal of Sciences, 16, 21-32
• 7. Nagórko W., 1998, Two methods of modeling of periodic nonhomogeneous elastic plates, Journal of Theoretical and Applied Mechanics, 36, 291-303
• 8. Nagórko W., 2010, Asymptotic modeling in elastodynamics of FGM, [In:] Mathematical Modelling and Analysis in Continuum Mechanics of Microstructured Media, Woźniak C. et al. (Edit.), Silesian University of Technology, Gliwice, 143-151
• 9. Reddy J.N., 2000, Analysis of functionally graded plates, International Journal for Numerical Methods in Engineering, 47, 663-684
• 10. Rohit Saha, Maiti P.R., 2012, Buckling of simply supported FGM plates under uniax ial load, Iternational Journal of Civil and Structural Engineering, 2, 4, 1035-1050
• 11. Wągrowska M., Woźniak C., 2015, A new 2D-model of the heat conduction in multilayered medium-thickness plates, Scientiarum Polonorum Acta Architectura, 14, 1, 37-44
• 12. Woźniak C., 1995, Microdynamics: continuum modeling the simple composite materials, Journal of Theoretical and Applied Mechanics, 33, 267-289
• 13. Woźniak C., Wągrowska M., Szlachetka O., 2016, On the tolerance modelling of heat conduction in functionally graded laminated media, Journal of Applied Mechanics and Technical Physics, 56, 2, 274-281

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).