Citation: | GONG Xuebei, ZHAO Weidong, GUO Dongmei. Thermal Buckling Analysis of FGM Sandwich Circular Plates Under Transverse Nonuniform Temperature Field Actions[J]. Applied Mathematics and Mechanics, 2023, 44(4): 419-430. doi: 10.21656/1000-0887.430094 |
[1] |
NAJAFIZADEH M M, ESLAMI M R. First-order-theory-based thermoelastic stability of functionally graded material circular plates[J]. AIAA Journal, 2012, 40(7): 1444-1450.
|
[2] |
REDDY J N, CHIN C D. Thermomechanical analysis of functionally graded cylinders and plates[J]. Journal of Thermal Stresses, 1998, 21(6): 593-626. doi: 10.1080/01495739808956165
|
[3] |
SHEN H S. Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments[J]. International Journal of Mechanical Sciences, 2002, 44(3): 561-584. doi: 10.1016/S0020-7403(01)00103-5
|
[4] |
VAN DO V N, CHANG K H, LEE C H. Post-buckling analysis of FGM plates under in-plane mechanical compressive loading by using a mesh-free approximation[J]. Archive of Applied Mechanics, 2019, 89(7): 1421-1446. doi: 10.1007/s00419-019-01512-5
|
[5] |
MA L S, WANG T J. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loading[J]. International Journal of Solids and Structures, 2003, 40(13/14): 3311-3330.
|
[6] |
ZHANG D G, ZHOU H M. Mechanical and thermal post-buckling analysis of FGM rectangular plates with various supported boundaries resting on nonlinear elastic foundations[J]. Thin-Walled Structures, 2015, 89: 142-151.
|
[7] |
LEE W H, HAN S C, PARK W T. A refined higher order shear and normal deformation theory for E-, P-, and S-FGM plates on Pasternak elastic foundation[J]. Composite Structures, 2015, 122: 330-342. doi: 10.1016/j.compstruct.2014.11.047
|
[8] |
陈明飞, 刘坤鹏, 靳国永, 等. 面内功能梯度三角形板等几何面内振动分析[J]. 应用数学和力学, 2020, 41(2): 156-170. doi: 10.21656/1000-0887.400171
CHEN Mingfei, LIU Kunpeng, JIN Guoyong, et al. Isogeometric in-plane vibration analysis of functionally graded triangular plates[J]. Applied Mathematics and Mechanics, 2020, 41(2): 156-170. (in Chinese) doi: 10.21656/1000-0887.400171
|
[9] |
SHEN H S, LI S R. Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties[J]. Composites (Part B): Engineering, 2008, 39(2): 332-344. doi: 10.1016/j.compositesb.2007.01.004
|
[10] |
ZENKOUR A M, SOBHY M. Thermal buckling of various types of FGM sandwich plates[J]. Composite Structures, 2010, 93(1): 93-102. doi: 10.1016/j.compstruct.2010.06.012
|
[11] |
WANG Z X, SHEN H S. Nonlinear analysis of sandwich plates with FGM face sheets resting on elastic foundations[J]. Composite Structures, 2011, 93(10): 2521-2532. doi: 10.1016/j.compstruct.2011.04.014
|
[12] |
ALIBEIGLOO A. Thermo elasticity solution of sandwich circular plate with functionally graded core using generalized differential quadrature method[J]. Composite Structures, 2016, 136: 229-240. doi: 10.1016/j.compstruct.2015.10.012
|
[13] |
MAHI A, BEDIA E A A, TOUNSI A. A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates[J]. Applied Mathematical Modelling, 2015, 39(9): 2489-2508. doi: 10.1016/j.apm.2014.10.045
|
[14] |
LI D, DENG Z, XIAO H, et al. Bending analysis of sandwich plates with different face sheet materials and functionally graded soft core[J]. Thin-Walled Structures, 2018, 122: 8-16. doi: 10.1016/j.tws.2017.09.033
|
[15] |
VAN DO V N, LEE C H. Numerical investigation on post-buckling behavior of FGM sandwich plates subjected to in-plane mechanical compression[J]. Ocean Engineering, 2018, 170: 20-42. doi: 10.1016/j.oceaneng.2018.10.007
|
[16] |
ZHAO W. Nonlinear axisymmetric thermomechanical response of FGM circular plates[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020, 42(7): 3-10.
|
[17] |
HUANG C L, SANDMAN B E. Large amplitude vibrations of a rigidly clamped circular plate[J]. International Journal of Non-Linear Mechanics, 1971, 6(4): 451-468. doi: 10.1016/0020-7462(71)90043-6
|
[18] |
LI S R, ZHANG J H, ZHAO Y G. Nonlinear thermomechanical post-buckling of circular FGM plate with geometric imperfection[J]. Thin-Walled Structures, 2007, 45(5): 528-536. doi: 10.1016/j.tws.2007.04.002
|
[19] |
VAN DO V N, LEE C H. Nonlinear thermal buckling analyses of functionally graded circular plates using higher-order shear deformation theory with a new transverse shear function and an enhanced mesh-free method[J]. Acta Mechanica, 2018, 229: 3787-3811. doi: 10.1007/s00707-018-2190-7
|
[20] |
REDDY J N, WANG C M, KITIPORNCHAI S. Axisymmetric bending of functionally graded circular and annular plates[J]. European Journal of Mechanics A: Solids, 1999, 18(2): 185-199. doi: 10.1016/S0997-7538(99)80011-4
|
[21] |
王雪, 赵伟东. 功能梯度梁在热-机械荷载作用下的几何非线性分析[J]. 应用数学和力学, 2019, 40(5): 508-517. doi: 10.21656/1000-0887.390201
WANG Xue, ZHAO Weidong. Geometrically nonlinear analysis of functionally graded beam under thermomechanical loading[J]. Applied Mathematics and Mechanics, 2019, 40(5): 508-517. (in Chinese) doi: 10.21656/1000-0887.390201
|
[22] |
李世荣, 苏厚德, 程昌钧. 热环境中粘贴压电层功能梯度材料梁的自由振动[J]. 应用数学和力学, 2009, 30(8): 907-918. doi: 10.3879/j.issn.1000-0887.2009.08.003
LI Shirong, SU Houde, CHENG Changjun. Free vibration of functionally graded material beams with surface-bonded piezoelectric layers in thermal environment[J]. Applied Mathematics and Mechanics, 2009, 30(8): 907-918. (in Chinese) doi: 10.3879/j.issn.1000-0887.2009.08.003
|
[23] |
LIS R, BATRA R C, MA L S. Vibration of thermally post-buckled orthotropic circular plate[J]. Journal of Thermal Stresses, 2007, 30(1): 43-57. doi: 10.1080/01495730600897161
|
[24] |
NAJAFIZADEH M M, HEDAYATI B. Refined theory for thermoelastic stability of functionally graded circular plates[J]. Journal of Thermal Stresses, 2004, 27(9): 857-880. doi: 10.1080/01495730490486532
|