Analysis of functionally graded plates by an efficient finite element method with node-based strain smoothing

Thin-Walled Structures - Tập 54 - Trang 1-18 - 2012
H. Nguyen‐Xuan1,2, Loc V. Tran2, Chien H. Thai2, T. Nguyen‐Thoi1,2
1Department of Mechanics, Faculty of Mathematics & Computer Science, University of Science, VNU-HCMC, Ho Chi Minh City, Vietnam
2Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

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Tài liệu tham khảo

Koizumi, 1997, FGM activities in Japan, Composites, 28, 1, 10.1016/S1359-8368(96)00016-9

Fukui, 1992, Elastic analysis for thick-walled tubes of functionally graded material subjected to internal pressure, International Journal of Japan Society of Mechanical Engineers Series A, 35, 379

Obata, 1993, Transient thermal stresses in a plate of functionally gradient material Ceramic, Transactions of the Functionally Graded Materials, 34, 403

Obata, 1996, Optimum material design for functionally gradient material plate, Archive of Applied Mechanics, 66, 581, 10.1007/BF00808146

Reddy, 2000, Analysis of functionally graded plates, International Journal for Numerical Methods in Engineering, 47, 663, 10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8

Vel, 2002, Exact solution for thermoelastic deformations of functionally graded thick rectangular plates, AIAA Journal, 40, 1021, 10.2514/2.1805

Vel, 2004, Three-dimensional exact solution for the vibration of functionally graded rectangular plates, Journal of Sound and Vibration, 272, 703, 10.1016/S0022-460X(03)00412-7

Matsunaga, 2008, Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory, Composite Structures, 82, 499, 10.1016/j.compstruct.2007.01.030

Matsunaga, 2009, Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory, Composite Structures, 90, 76, 10.1016/j.compstruct.2009.02.004

Hosseini-Hashemi, 2011, A new exact analytical approach for free vibration of Reissner–Mindlin functionally graded rectangular plates, International Journal of Mechanical Sciences, 53, 11, 10.1016/j.ijmecsci.2010.10.002

Reddy, 1998, Thermo mechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses, 21, 593, 10.1080/01495739808956165

Praveen, 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, International Journal of Solids and Structures, 34, 4457, 10.1016/S0020-7683(97)00253-9

Croce, 2007, Finite elements for functionally graded Reissner–Mindlin plates, Computer Methods in Applied Mechanics and Engineering, 193, 705, 10.1016/j.cma.2003.09.014

Natarajan, 2011, Natural frequencies of cracked functionally graded material plates by the extended finite element method, Composite Structures, 93, 10.1016/j.compstruct.2011.04.007

Zhen, 2006, A higher-order theory and refined three-node triangular element for functionally graded plates, European Journal of Mechanics A/Solids, 25, 447, 10.1016/j.euromechsol.2005.09.009

Gilhooley, 2007, Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions, Composite Structures, 80, 539, 10.1016/j.compstruct.2006.07.007

Lee, 2009, Thermoelastic analysis of functionally graded plates using the element-free kp-Ritz method, Smart Materials and Structures, 18, 035007, 10.1088/0964-1726/18/3/035007

Zhao, 2009, Geometrically nonlinear analysis of functionally graded plates using the element-free kp-Ritz method, Computer Methods in Applied Mechanics and Engineering, 198, 2796, 10.1016/j.cma.2009.04.005

Zhao, 2003, Free vibration analysis of functionally graded plates using the element-free kp-Ritz method, Journal of Sound and Vibration, 319, 918, 10.1016/j.jsv.2008.06.025

Zhao, 2009, Mechanical and thermal buckling an analysis of functionally graded plates, Composite Structures, 20, 161, 10.1016/j.compstruct.2009.03.005

Liew, 2011, A review of meshless methods for laminated and functionally graded plates and shells, Composite Structures, 93, 2031, 10.1016/j.compstruct.2011.02.018

Chen, 2001, A stabilized conforming nodal integration for Galerkin mesh-free methods, International Journal for Numerical Methods in Engineering, 50, 435, 10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A

Liu, 2010

Liu, 2007, A smoothed finite element for mechanics problems, Computational Mechanics, 39, 859, 10.1007/s00466-006-0075-4

Liu, 2009, An edge-based smoothed finite element method (ES-FEM) for static and dynamic problems of solid mechanics, Journal of Sound and Vibration, 320, 1100, 10.1016/j.jsv.2008.08.027

Nguyen-Xuan, 2010, An edge-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates, Computer Methods in Applied Mechanics and Engineering, 199, 471, 10.1016/j.cma.2009.09.001

Liu, 2009, A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems, Computers and Structures, 87, 14, 10.1016/j.compstruc.2008.09.003

Nguyen-Xuan, 2010, A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates, Computational Mechanics, 46, 679, 10.1007/s00466-010-0509-x

Nguyen-Thoi, 2009, A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements, International Journal for Numerical Methods in Engineering, 78, 324, 10.1002/nme.2491

Nguyen-Thoi, 2009, A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh, Computer Methods in Applied Mechanics and Engineering, 198, 3479, 10.1016/j.cma.2009.07.001

Bletzinger, 2000, A unified approach for shear-locking free triangular and rectangular shell finite elements, Computers and Structures, 75, 321, 10.1016/S0045-7949(99)00140-6

Samsam Shariat, 2006, Thermal buckling of imperfect functionally graded plates, International Journal of Solids and Structures, 43, 4082, 10.1016/j.ijsolstr.2005.04.005

Bathe, 1985, A four-node plate bending element based on Mindlin/Reissener plate theory and a mixed interpolation, International Journal for Numerical Methods in Engineering, 21, 367, 10.1002/nme.1620210213

Timoshenko, 1961

Javaheri, 2002, Thermal buckling of functionally graded plates based on higher order theory, Journal of Thermal Stresses, 25, 603, 10.1080/01495730290074333

Lanhe, 2006, Thermal buckling of a simply supported moderately thick rectangular FGM plate, Composite Structures, 64, 211, 10.1016/j.compstruct.2003.08.004

Khor, 2001, Mechanical behavior of plasma sprayed functionally graded YSZ/NiCoCrAlY composite coatings, Surface and Coatings Technology, 139, 200, 10.1016/S0257-8972(01)00997-5