and Applied Mechanics
56, 3, pp. 829-839, Warsaw 2018
DOI: 10.15632/jtam-pl.56.3.829
Modelling of FGM plate
isotropic materials. We assume that the first material M1 is characterized by the following
parameters: Young’s modulus E1 and Poisson’s ratio 1, whereas the second one by E2 and
2, 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.
References
Delale F., Erdogan F., 1983, The crack problem for a nonhomogeneous plane, ASME Journal
of Applied Mechanics, 50, 609-615
Efraim E., 2011, Accurate formula for determination of natural frequencies of FGM plates basing
on frequencies of isotropic plates, Procedia Engineering, 10, 242-247
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
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
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.
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
Nagórko W., 1998, Two methods of modeling of periodic nonhomogeneous elastic plates, Journal
of Theoretical and Applied Mechanics, 36, 291-303
NagórkoW., 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
Reddy J.N., 2000, Analysis of functionally graded plates, International Journal for Numerical
Methods in Engineering, 47, 663-684
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
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
Woźniak C., 1995, Microdynamics: continuum modeling the simple composite materials, Journal
of Theoretical and Applied Mechanics, 33, 267-289
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