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.
 Citation: 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.

# The Finite Deflection Equations of Anisotropic Laminated Shallow Shells

• Publish Date: 1982-02-15
• In this paper, basing on ref. [1] we improved and extended that which is concerned with a view of investigating the finite deflection equations of anisotro-pic laminated shallow shells subjected to static loads, dynamic loads and thermal loads. We have considered the most general bending-stretching couplings and the shear deformations in the thickness direction, and derived the equilibrium equations, boundary conditions and initial conditions. The differential equations expressed in terms of generalized displacements u0 v0 φx φy and w are obtained. From them, we could solve the problems of stress analysis,deformation,stability and vibration. For some commonly encountered cases, we derived the simplified equations and methods.
•  [1] Vinson,J R.and Chou,T.W.,Composite materials and their use in structures,(1975). [2] Jones,R.M.,Mechanics of Composite Materials,(1975). [3] Bert,C.W.and Davis,M.Eagle,Dynamics of composite,sandwich and stiffened shell-type structures,J,of Spacecraft and Rockets,6,12,(1969),1341-1361. [4] Tennyson,R.C.,Buckling of laminated composite cylinders:A review,Composites,Jan.(1975),17-24. [5] Dietz,A.,Composite engineering laminates,MIT Press,Cambridge,Mass.,U.S.A.(1969). [6] Ashton.J.E.and Whitney.J.M.,Theory of laminated Plates,(1970). [7] Bert,C.W.and Francis,P,H.,Composite material mechanics:Structural mechanics,AIAA J.12,9,(1974),1173-1186. [8] Composite materials engineering,Chapter 10,(1971),(in Japanese). [9] Whitney,J.M.and Pagano,N.J.,Shear deformation in heterogeneous anisotropic plates,J.Applied Machanics,37,(1970),1O31-1036. [10] Whitney,J.M.,Stress analysis of thick laminated composite and sandwich plates,J,Compsite Materials,6,Oct.,(1972),425-44O. [11] Reissner,E.,A consistent treatment of transverse shear deformation in laminated anisotropic plates,AIAA J.,May,(1972),716-718. [12] Cohen,G.A.,Transverse shear stiffness of laminated anisotropic shell,Computer Methods in Applied Mechanics and Engineering,13,(1978),205-220.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142