A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate

International Journal of Mechanical Sciences - Tập 53 - Trang 237-247 - 2011
Noureddine El Meiche1, Abdelouahed Tounsi1,2, Noureddine Ziane1, Ismail Mechab1, El Abbes Adda.Bedia1
1Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, Algeria
2Département de Génie Civil, Faculté des Sciences de L'Ingénieur, Algeria

Tài liệu tham khảo

Koizumi, 1997, FGM activities in Japan, Composites Part B, 28, 1, 10.1016/S1359-8368(96)00016-9 Reddy, 2000, Analysis of functionally graded plates, Int J Numer Method Eng, 47, 663, 10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8 Zhang, 2008, A theoretical analysis of FGM thin plates based on physical neutral surface, Comput Mater Sci, 44, 716, 10.1016/j.commatsci.2008.05.016 Woo, 2006, Nonlinear free vibration behavior of functionally graded plates, J Sound Vib, 289, 595, 10.1016/j.jsv.2005.02.031 Zenkour, 2006, Generalized shear deformation theory for bending analysis of functionally graded plates, Appl Math Modell, 30, 67, 10.1016/j.apm.2005.03.009 Batra, 2005, Natural frequencies of a functionally graded anisotropic rectangular plate, J Sound Vib, 282, 509, 10.1016/j.jsv.2004.03.068 Roque, 2007, A radial basis function approach for the free vibration analysis of functionally graded plates using a refined theory, J Sound Vib, 300, 1048, 10.1016/j.jsv.2006.08.037 Efraim, 2007, Exact vibration analysis of variable thickness annular isotropic and FGM plates, J Sound Vib, 299, 720, 10.1016/j.jsv.2006.06.068 Pradyumna, 2008, Free vibration analysis of functionally graded curved panels using a higher-order finite element formulation, J Sound Vib, 318, 176, 10.1016/j.jsv.2008.03.056 Matsunaga, 2008, Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory, Compos Struct, 82, 499, 10.1016/j.compstruct.2007.01.030 Reddy, 1993, An evaluation of equivalent single layer and layerwise theories of composite laminates, Compos Struct, 25, 21, 10.1016/0263-8223(93)90147-I Ramirez, 2006, Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach, Compos Part B: Eng, 37, 10, 10.1016/j.compositesb.2005.05.009 Ramirez, 2006, Discrete layer solution to free vibrations of functionally graded magneto-electro-elastic plates, Mech Adv Mater Struct, 13, 249, 10.1080/15376490600582750 Reissner, 1984, On a certain mixed variational theory and a proposed applications, Int J Numer Methods Eng, 20, 1366, 10.1002/nme.1620200714 Reissner, 1986, On a mixed variational theorem and on a shear deformable plate theory, Int J Numer Methods Eng, 23, 193, 10.1002/nme.1620230203 Carrera, 2001, Developments, ideas, and evaluations based upon Reissner's mixed variational theorem in the modeling of multilayered plates and shells, Appl Mech Rev, 54, 301, 10.1115/1.1385512 Murakami, 1986, Laminated composite plate theory with improved in-plane responses, J Appl Mech, 53, 661, 10.1115/1.3171828 Toledano, 1987, A high-order laminated plate theory with improved in-plane responses, Int J Solids Struct, 23, 111, 10.1016/0020-7683(87)90034-5 Carrera, 2003, Historical review of zigzag theories for multilayered plates and shells, Appl Mech Rev, 56, 287, 10.1115/1.1557614 Carrera, 2000, An assessment of mixed and classical theories on global and local response of multilayered orthotropic plates, Compos Struct, 50, 183, 10.1016/S0263-8223(00)00099-4 Carrera, 2000, An assessment of mixed and classical theories for the thermal stress analysis of orthotropic multilayered plates, J Therm Stresses, 23, 797, 10.1080/014957300750040096 Carrera, 2003, Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarks, Arch Comput Methods Eng, 10, 215, 10.1007/BF02736224 Brischetto, 2008, Thermomechanical bending of functionally graded plates, J Therm Stresses, 31, 286, 10.1080/01495730701876775 Cinefra, 2010, Thermomechanical analysis of functionally graded shells, J Therm Stresses, 33, 942, 10.1080/01495739.2010.482379 Brischetto, 2009, Refined 2D models for the analysis of functionally graded piezoelectric plates, J Intell Mater Sys Struct, 20, 1783, 10.1177/1045389X08098444 Carrera, 2008, Variable kinematic model for the analysis of functionally graded material plates, AIAA J, 46, 194, 10.2514/1.32490 Brischetto, 2010, Advanced mixed theories for bending analysis of functionally graded plates, Comput Struct, 88, 1474, 10.1016/j.compstruc.2008.04.004 Carrera, 2010, Refined and advanced models for multilayered plates and shells embedding functionally graded material layers, Mech Adv Mater Struct, 17, 603, 10.1080/15376494.2010.517730 D'Ottavio, 2010, Variable-kinematics approach for linearized buckling analysis of laminated plates and shells, AIAA J, 48, 1987, 10.2514/1.J050203 Leissa AW. Buckling of laminated composite plates and shell panels, Flight dynamics laboratory report no. AFWAL-TR-85-3069, 1985. Leissa, 1987, A review of laminated composite plate buckling, Appl Mech Rev, 40, 10.1115/1.3149534 Harris, 1975, The buckling and post buckling behaviour of composite plates under biaxial loading, Int J Mech Sci, 17, 187, 10.1016/0020-7403(75)90052-1 Prabhakara, 1976, Post-buckling behaviour of simply-supported cross-ply rectangular plates, Aeronaut Quart, 27, 309, 10.1017/S0001925900007812 Abrate, 2008, Functionally graded plates behave like homogeneous plates, Composites: Part B, 39, 151, 10.1016/j.compositesb.2007.02.026 Abrate, 2006, Free vibration, buckling, and static deflections of functionally graded plates, Compos Sci Technol, 66, 2383, 10.1016/j.compscitech.2006.02.032 Kashtalyan, 2004, Three-dimensional elasticity solution for bending of functionally graded rectangular plates, Eur J Mech A/Solids, 23, 853, 10.1016/j.euromechsol.2004.04.002 Vel, 2004, Three-dimensional exact solution for the vibration of functionally graded rectangular plates, J Sound Vib, 272, 703, 10.1016/S0022-460X(03)00412-7 Li, 2008, Three-dimensional vibration analysis of functionally graded material sandwich plates, J Sound Vib, 311, 498, 10.1016/j.jsv.2007.09.018 Ying, 2009, 3D thermoelasticity solutions for functionally graded thick plates, J Zhejiang Univ Sci A, 10, 327, 10.1631/jzus.A0820406 Mechab, 2010, A two variable refined plate theory for bending of functionally graded plates, Acta Mech Sin, 26, 941, 10.1007/s10409-010-0372-1 Reddy, 1984, A simple higher-order theory for laminated composite plates, J Appl Mech, 51, 745, 10.1115/1.3167719 Touratier, 1991, An efficient standard plate theory, Int J Eng Sci, 29, 901, 10.1016/0020-7225(91)90165-Y Karama, 2003, Mechanical behavior of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity, Int J Solids Struct, 40, 1525, 10.1016/S0020-7683(02)00647-9 Sallai, 2009, A theoretical analysis of flexional bending of Al/Al2O3 S-FGM thick beams, Comput Mater Sci, 44, 1344, 10.1016/j.commatsci.2008.09.001 Delale, 1983, The crack problem for a nonhomogeneous plane, J Appl Mech, 50, 609, 10.1115/1.3167098 Reissner, 1945, The effect of transverse shear deformation on the bending of elastic plates, J Appl Mech, 12, 69, 10.1115/1.4009435 Mindlin, 1951, Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates, J Appl Mech, 18, 31, 10.1115/1.4010217 Reissner, 1944, On the theory of bending of elastic plates, J Math Phys, 23, 184, 10.1002/sapm1944231184