3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates |
Lee, Won-Hong
(Department of Civil Engineering, Gyeongnam National University of Science and Technology)
Han, Sung-Cheon (Department of Civil & Railroad Engineering, Daewon University College) Ahn, Jin-Hee (Department of Civil Engineering, Gyeongnam National University of Science and Technology) Park, Weon-Tae (Division of Construction and Environmental Engineering Kongju National University) |
1 | Aydogdu, M. (2009) A New Shear Deformation Theory for Laminated Composite Plates, Compos. Struct., 89, pp.94-101. DOI |
2 | Bao, G., Wang, L. (1995) Multiple Cracking in Functionally Graded Ceramic/Metal Coatings, Int. J. Solids Struct., 32, pp.2853-2871. DOI |
3 | Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R., Beg, O.A. (2014) An Efficient and Simple Higher Order Shear and Normal Deformation Theory for Functionally Graded Material (FGM) Plates, Compos. Part B: Eng., 60, pp.274-283. DOI |
4 | Benachour, A., Daouadji, T.H., Ait Atmanea, H., Tounsi, A., Ahmed, M.S. (2011) A Four Variable Refined Plate Theory for Free Vibrations of Functionally Graded Plates with Arbitrary Gradient, Compos. Part B: Eng., 42, pp.1386-1394. DOI |
5 | Bourada, M., Tounsi, A., Houari, M.S.A. (2012) A New Four-variable Refined Plate Theory for Thermal Buckling Analysis of Functionally Graded Sandwich Plates, J. Sandwich Struct. & Mater., 14, pp.5-33. DOI |
6 | Carrera, E., Brischetto, S., Cinefra, M., Soave, M. (2011) Effects of Thickness Stretching in Functionally Graded Plates and Shells, Compos. Part B: Eng., 42, pp.123-133. |
7 | Delale, F., Erdogan, F. (1983) The Crack Problem for a Nonhomogeneous Plane, J. Appl. Mech. (ASME), 50, pp.609-614. DOI |
8 | Han, S.C., Park, W.T., Jung, W.Y. (2015) A Four-variable Refined Plate Theory for Dynamic Stability Analysis of S-FGM Plates based on Physical Neutral Surface, Compos. Struct., 131, pp.1081-1089. DOI |
9 | Hirano, T., Yamada, T. (1988) Multi-paradigm Expert System Architecture based upon the Inverse Design Concept, International Workshop on Artificial Intelligence for Industrial Applications, Hitachi, Japan. |
10 | Hosseini-Hashemi, S., Fadaee, M., Atashipour, S.R. (2011a) Study on the Free Vibration of Thick Functionally Graded Rectangular Plates according to a New Exact Closed-form Procedure, Compos. Struct., 93, pp.722-735. DOI ScienceOn |
11 | Hosseini-Hashemi, S., Fadaee, M., Atashipour, S.R. (2011b) A New Exact Analytical Approach for Free Vibration of Reissner-Mindlin Functionally Graded Rectangular Plates, Int. J. Mech. Sci., 53, pp.11-22. DOI ScienceOn |
12 | Jung, W.Y., Han, S.C. (2014) Transient Analysis of FGM and Laminated Composite Structures using a Refined 8-node ANS Shell Element, Compos.: Part B, 56, pp.372-383. DOI |
13 | Jung, W.Y., Han, S.C. (2015) Static and Eigenvalue Problems of Sigmoid Functionally Graded Materials (S-FGM) Micro-scale Plates using the Modified Couple Stress Theory, Appl. Math. Model., 39, pp.3506-3524. DOI |
14 | Karama, M., Afaq, K.S., Mistou, S. (2003) Mechanical Behaviour of Laminated Composite Beam by the New Multi-layered Laminated Composite Structures Model with Transverse Shear Stress Continuity, Int. J. Solids & Struct., 40, pp.1525-1546. DOI |
15 | Lee, W.H., Han, S.C., Park, W.T. (2008) Bending, Vibration and Buckling Analysis of Functionally Graded Material Plates, J. Korea Academic-Industrial coop. Soc., 9(4), pp.1043-1049. DOI |
16 | Lee, W.H., Han, S.C., Park, W.T. (2015) A Study of Dynamic Instability for Sigmoid Functionally Graded Material Plates on Elastic Foundation, J. Comput. Struct. Eng. Inst.Korea, 28(1), pp.85-92. DOI |
17 | Mantari, J.L., Guedes Soares, C. (2014) Optimized Sinusoidal Higher Order Shear Deformation Theory for the Analysis of Functionally Graded Plates and Shells, Compos. Part B: Eng., 56, pp.126-136. DOI |
18 | Lu, C.F., Lim, C.W., Chen, W.Q. (2009) Exact Solutions for Free Vibrations of Functionally Graded Thick Plates on Elastic Foundations, Mech. Adv. Mater. & Struct., 16, pp.576-584. DOI |
19 | Malekzadeh, P., Monajjemzadeh, S.M. (2013) Dynamic Response of Functionally Graded Plates in Thermal Environment under Moving Load, Compos. Part B: Eng., 45, pp.1521-1533. DOI |
20 | Malekzadeh, P., Shojaee, M. (2013) Free Vibration of Nanoplates based on a Nonlocal Two-variable Refined Plate Theory, Compos. Struct., 95, pp.443-452. DOI |
21 | Matsunaga, H. (2008) Free Vibration and Stability of Functionally Graded Plates according to a 2-D Higher-order Deformation Theory, Compos. Struct., 82, pp.499-512. DOI ScienceOn |
22 | Mechab, I., Mechab, B., Benaissa, S. (2013) Static and Dynamic Analysis of Functionally Graded Plates using Four-variable Refined Plate Theory by the New Function, Compos. Part B: Eng., 45, 748-757. DOI |
23 | Reddy, J.N. (2000) Analysis of Functionally Graded Plates, Int. J. Numer. Methods Eng., 47, pp.663-684. DOI |
24 | Reddy, J.N. (2007) Theory and Analysis of Elastic Plates and Shells, CRC Press, London. |
25 | Senthilnathan, N.R., Chow, S.T., Lee, K.H., Lim, S.P. (1987) Buckling of Shear-deformable Plates, AIAA J., 25, pp.1268-1271. DOI |
26 | Shimpi, R.P., Patel, H.G. (2006a) Free Vibrations of Plate using Two Variable Refined Plate Theory, J. Sound & Vib., 296, pp.979-999. DOI |
27 | Zenkour, A.M. (2006) Generalized Shear Deformation Theory for Bending Analysis of Functionally Graded Plates, Appl. Math. Model., 30, pp.67-84. DOI |
28 | Shimpi, R.P., Patel, H.G. (2006b) A Two Variable Refined Plate Theory for Orthotropic Plate Analysis, Int. J. Solids & Struct., 43, pp.6783-6799. DOI |
29 | Thai, H.T., Kim, S.E. (2010) Free Vibration of Laminated Composite Plates using Two Variable Refined Plate Theory, Int. J. Mech. Sci., 52, pp.626-633. DOI |
30 | Tran, L.V., Ferreira, A.J.M., Nguyen-Xuan, H. (2013) Isogeometric Analysis of Functionally Graded Plates using Higher-order Shear Deformation Theory, Compos. Part B: Eng., 51, pp.368-383. DOI |