[1] | Jones RM.Mechanics of composite materials. CRC Press, 2014 |
[2] | 刘人怀, 薛江红. 复合材料层合板壳非线性力学的研究进展. 力学学报, 2017, 49(3): 487-506 |
[2] | (Liu Renhuai, Xue Jianghong.Development of nonlinear mechanics for laminated composite plates and shells. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3): 487-506 (in Chinese)) |
[3] | 段铁城, 李录贤. 厚板的高阶剪切变形理论研究. 力学学报, 2016, 48(5): 1096-1113 |
[3] | (Duan Tiecheng, Li Luxian.Study on higher-order shear deformation theories of thick-plate. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(5): 1096-1113 (in Chinese)) |
[4] | Reddy JN.A refined nonlinear theory of plates with transverse shear deformation. International Journal of Solids and Structures, 1984, 20(9-10): 881-896 |
[5] | Singh G, Rao GV, Iyengar NGR.Large deflection of shear deformable composite plates using a simple higher-order theory. Composites Engineering, 1993, 3(6): 507-525 |
[6] | Liu IW.An element for static, vibration and buckling analysis of thick laminated plates. Computers & Structures, 1996, 59(6): 1051-1058 |
[7] | Phan ND, Reddy JN.Analysis of laminated composite plates using a higher-order shear deformation theory. International Journal for Numerical Methods in Engineering, 1985, 21(12): 2201-2219 |
[8] | Ren JG, Hinton E.The finite element analysis of homogeneous and laminated composite plates using a simple higher order theory. Communications in Applied Numerical Methods, 1986, 2(2): 217-228 |
[9] | Kant T, Pandya BN.A simple finite element formulation of a higher-order theory for unsymmetrically laminated composite plates. Composite Structures, 1988, 9(3): 215-246 |
[10] | Pervez T, Seibi AC, Al-Jahwari FKS.Analysis of thick orthotropic laminated composite plates based on higher order shear deformation theory. Composite Structures, 2005, 71(3-4): 414-422 |
[11] | Shankara CA, Iyengar NGR.A C0element for the free vibration analysis of laminated composite plates. Journal of Sound and Vibration, 1996, 191(5): 721-738 |
[12] | Ansari MI, Kumar A, Barnat-Hunek D, et al.Static and Dynamic Response of FG-CNT-Reinforced Rhombic Laminates. Applied Sciences, 2018, 8(5): 834 |
[13] | Nayak AK, Moy SSJ, Shenoi RA.Free vibration analysis of composite sandwich plates based on Reddy's higher-order theory. Composites Part B: Engineering, 2002, 33(7): 505-519 |
[14] | Nayak AK, Moy SSJ, Shenoi RA.Quadrilateral finite elements for multilayer sandwich plates. The Journal of Strain Analysis for Engineering Design, 2003, 38(5): 377-392 |
[15] | Sheikh AH, Chakrabarti A.A new plate bending element based on higher-order shear deformation theory for the analysis of composite plates. Finite Elements in Analysis and Design, 2003, 39(9): 883-903 |
[16] | Taj MNAG, Chakrabarti A, Sheikh AH.Analysis of functionally graded plates using higher order shear deformation theory. Applied Mathematical Modelling, 2013, 37(18-19): 8484-8494 |
[17] | Putcha NS, Reddy JN.A mixed shear flexible finite element for the analysis of laminated plates. Computer Methods in Applied Mechanics and Engineering, 1984, 44(2): 213-227 |
[18] | Serdoun SMN, Hamza Cherif SM.Free vibration analysis of composite and sandwich plates by alternative hierarchical finite element method based on Reddy's C1 HSDT. Journal of Sandwich Structures & Materials, 2016, 18(4): 501-528 |
[19] | Asadi E, Fariborz SJ.Free vibration of composite plates with mixed boundary conditions based on higher-order shear deformation theory. Archive of Applied Mechanics, 2012, 82(6): 755-766 |
[20] | 王伟, 伊士超, 姚林泉. 分析复合材料层合板弯曲和振动的一种有效无网格方法. 应用数学和力学, 2015, 36(12): 1274-1284 |
[20] | (Wang Wei, Yi Shi-Chao, Yao Linquan.An effective meshfree method for bending and vibration analyses of laminated composite plates. Applied Mathematics & Mechanics, 2015, 36(12):1274-1284 (in Chinese)) |
[21] | Selim BA, Zhang LW, Liew KM.Impact analysis of CNT-reinforced composite plates based on Reddy's higher-order shear deformation theory using an element-free approach. Composite Structures, 2017, 170: 228-242 |
[22] | 赵寿根, 王静涛, 黎康等. 考虑辐射散热叠层板热诱发振动的有限元分析. 力学学报, 2010, 42(5): 978-982 |
[22] | (Zhao Shougen, Wang Jingtao, Li Kang, et al.Finite element method analysis of thermally induced vibration of laminated plates considering radiation. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(5): 978-982 (in Chinese)) |
[23] | Zhong H, Yu T.Flexural vibration analysis of an eccentric annular Mindlin plate. Archive of Applied Mechanics, 2007, 77(4): 185-195 |
[24] | Shen Z, Zhong H.Static and vibrational analysis of partially composite beams using the weak-form quadrature element method. Mathematical Problems in Engineering, 2012, 2012: 974023 |
[25] | Xiao N, Zhong H.Non-linear quadrature element analysis of planar frames based on geometrically exact beam theory. International Journal of Non-Linear Mechanics, 2012, 47(5): 481-488 |
[26] | Zhong HZ, Yue ZG.Analysis of thin plates by the weak form quadrature element method. Science China Physics, Mechanics and Astronomy, 2012, 55(5): 861-871 |
[27] | Zhong H, Wang Y.Weak form quadrature element analysis of Bickford beams. European Journal of Mechanics-A/Solids, 2010, 29(5): 851-858 |
[28] | Wang X, Yuan Z, Jin C.Weak form quadrature element method and its applications in science and engineering: a state-of-the-art review. Applied Mechanics Reviews, 2017, 69(3): 030801 |
[29] | 申志强, 夏军, 吴克刚等. 楔形变截面钢$\!$-$\!$-$\!$混凝土组合梁弯曲和自由振动的求积元分析. 国防科技大学学报, 2018, 40(1): 42-48 |
[29] | (Shen Zhiqiang, Xia Jun, Wu Kegang, et al.Flexural and free vibrational analysis of tapered partially steel-concrete composite beams using the weak form quadrature element method. Journal of National University of Defense Technology, 2018, 40(1): 42-48 (in Chinese)) |
[30] | Davis PJ, Rabinowitz P.Methods of Numerical Integration. Courier Corporation, 2007 |
[31] | Wang X.Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications. Butterworth-Heinemann, 2015 |
[32] | Reddy JN.A simple higher-order theory for laminated composite plates. Journal of Applied Mechanics, 1984, 51(4): 745-752 |
[33] | Shufrin I, Eisenberger M.Stability and vibration of shear deformable plates---first order and higher order analyses. International Journal of Solids and Structures, 2005, 42(3-4): 1225-1251 |
[34] | Reddy JN, Phan ND.Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory. Journal of Sound and Vibration, 1985, 98(2): 157-170 |
[35] | Shufrin I, Eisenberger M.Vibration of shear deformable plates with variable thickness---first-order and higher-order analyses. Journal of Sound and Vibration, 2006, 290(1-2): 465-489 |
[36] | Bacciocchi M, Eisenberger M, Fantuzzi N, et al.Vibration analysis of variable thickness plates and shells by the generalized differential quadrature method. Composite Structures, 2016, 156: 218-237 |
[37] | Wang ZX, Shen HS.Nonlinear vibration of nanotube-reinforced composite plates in thermal environments. Computational Materials Science, 2011, 50(8): 2319-2330 |