Citation: | Wu Jiancheng, Pan Lizhou. Nonlinear Theory of Multilayer Sandwich Shells and Its Application (Ⅱ)-Fundamental Equations for Orthotropic Shallow Shells[J]. Applied Mathematics and Mechanics, 1997, 18(2): 119-129. |
[1] |
吴建成、潘立宙,多夹层板壳的非线性理论及应用(I)—基本理论,应用数学和力学,18(1)(1997),19-28.
|
[2] |
中国科学院北京力学研究所固体力学研究室板壳组,K夹层板壳的弯曲、稳定和振动》,科学出版社,北京(1977).
|
[3] |
成振强等,矩形中厚板和夹层板的后屈曲,应用数学和力学,15(7)(1994),577-582.
|
[4] |
W,Z.Chien,The intrinsic theory of thin shells and plates,Part Ⅱ,Application to thin shells,Quart、Appl.Math,.2 (1944),120-135
|
[1] | LIU Mingfeng, XU Dian, NI Zhuofan, LI Yihao, LI Rui. Symplectic Superposition-Based Analytical Solutions for Buckling of Non-Lévy-Type Orthotropic Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1428-1440. doi: 10.21656/1000-0887.440093 |
[2] | ZHOU Tao, SONG Yanqi. Shear Effect Analysis on Plates Based on the 4-Variable Refined Plate Theory[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1268-1281. doi: 10.21656/1000-0887.390066 |
[3] | HAO Jia-qiong, LI Ming-cheng, DENG Zong-bai. Bending of Sandwich Plates With Hard Cores Under Transverse Loading Based on the HighOrder Deformation Theory[J]. Applied Mathematics and Mechanics, 2014, 35(8): 873-882. doi: 10.3879/j.issn.1000-0887.2014.08.005 |
[4] | A. M. Zenkour. Stresses in a Rotating Heterogeneous Viscoelastic Composite Cylinder With Variable Thickness[J]. Applied Mathematics and Mechanics, 2011, 32(4): 483-496. doi: 10.3879/j.issn.1000-0887.2011.04.010 |
[5] | ZHONG Wei-zhou, SONG Shun-cheng, CHEN Gang, HUANG Xi-cheng, HUANG Peng. Stress Field of Orthotropic Cylinder Subjected to Axial Compression[J]. Applied Mathematics and Mechanics, 2010, 31(3): 285-294. doi: 10.3879/j.issn.1000-0887.2010.03.004 |
[6] | Rajneesh Kumar, Praveen Ailawalia. Moving Inclined Load at Boundary Surface[J]. Applied Mathematics and Mechanics, 2005, 26(4): 437-446. |
[7] | DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅴ)-Polar Thermomechanical Continua[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1108-1113. |
[8] | LIU Teng-xi, HUANG Shi-qing, FU Yi-ming. The Constitutive Equations for Mixed Hardening Orthotropic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 192-196. |
[9] | SU Cheng, HAN Da-jian. Elastic Analysis of Orthotropic Plane Problems by the Spline Fictitious Boundary Element Method[J]. Applied Mathematics and Mechanics, 2002, 23(4): 400-406. |
[10] | WANG Xin-zhi, ZHAO Yong-gang, YEH Kai-yuan, HUANG Da-wen. Unsymmetrical Large Deformation Problem of Orthotropic Plates[J]. Applied Mathematics and Mechanics, 2002, 23(9): 881-888. |
[11] | WU Hui, YU Huan-ran. Natural Frequency for Rectangular Orthotropic Corrugated-Core Sandwich Plates with All Edges Simply-Supported[J]. Applied Mathematics and Mechanics, 2001, 22(9): 919-926. |
[12] | Qin Shengli, Yan Kezhu, Hu Xiangling, Huang Jiayin. An Investigation on Material Properties of Non-Homogeneous Cylindrically Orthotropic Circular Plates[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1139-1143. |
[13] | Wu Jiancheng, Pan Lizhou. Nonlinear Theory of Multilayer Sandwich Shells and lts Application(Ⅲ)-Large Deflection and Postbuckling of Shallow Shells[J]. Applied Mathematics and Mechanics, 1997, 18(4): 297-306. |
[14] | Wang Yonggang, Wang Xinzhi, Song Huifang. Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads[J]. Applied Mathematics and Mechanics, 1997, 18(6): 545-550. |
[15] | Wen Pi-hua. The Elastic Solution of Concentrated Force Acting in Orthogonal Anisotropic Half-Plane and Constant Element Fundamental Formulae of Boundary Element Method[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1117-1126. |
[16] | Li Dong. Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution[J]. Applied Mathematics and Mechanics, 1992, 13(4): 313-325. |
[17] | Shang Xin-chun, Cheng Chang-jun. Instability of Toroidal Membrane with Large Tensile Deformation[J]. Applied Mathematics and Mechanics, 1991, 12(6): 523-530. |
[18] | Cheng Chang-jun, Ning Jian-guo. Elastic Instability of an Orthotropic Elliptic Plate[J]. Applied Mathematics and Mechanics, 1991, 12(4): 331-338. |
[19] | Shen Hui-chuan. The Schrodinger Equation in Theory of Plates and Shells with Orthorhombic Anisotropy[J]. Applied Mathematics and Mechanics, 1987, 8(4): 357-365. |
[20] | Wang Zhen-ming, Liu Guo-xi, Lü Ming-shen. The Finite Deflection Equations of Anisotropic Laminated Shallow Shells[J]. Applied Mathematics and Mechanics, 1982, 3(1): 49-65. |