Fang Ying-guang, Pan Ji-hao, Chen wei-xin. Theory of Thick-Walled Shells and Its Application in Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1992, 13(11): 1009-1019.
 Citation: Fang Ying-guang, Pan Ji-hao, Chen wei-xin. Theory of Thick-Walled Shells and Its Application in Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1992, 13(11): 1009-1019.

# Theory of Thick-Walled Shells and Its Application in Cylindrical Shell

• Publish Date: 1992-11-15
• In this paper,a theory of thick-walled shells is established by means of Hellinger-Reissner's variational principle,with displacement and stress assumptions.The displacements are expanded into power series of the thickness coordinate.Only the first four and the first three terms are used for the displacements parallel and normal to the middle surface respectively.The normal extruding and transverse shear stresses are assumed to be cubic polynomials and to satisfy the boundary stress conditions on the outer and inner surfaces of the shell.The governing equations and boundary conditions are derived by means of variational principle.As an example,a thick-walled cylindrical shell is disscussed with the theory proposed.Furthermore,a photoelastic experiment has been carried out,and the results are in fair agreement with the computations.
•  [1] Naghdi,P.M.,On the theory of thin elastic shells.Quart.Appl.,Math.,14,4(1957),369-38O. [2] Hildebrand.F.B.,E.Reissncr and G.B.Thomas,Notes on the foundations of the theory of small displacements of orthotropic shell,NACA TN.1833(1949). [3] Niodson,F.L,A consistent refined shell theory,Tech.Univ.Denmark,Report No.104(1976). [4] Vlasov.V.Z.General theory of shells and its application to the engineering(English translation),NASA TT F-99.(1964). [5] Mayes,P.J.D.End stress calculations on elastic cylinders,Int.J.Sol.Struct.,19,10(1983),895-906. [6] Reissner E.,On a variational theorem in elasticity,J.Math.Phy,29(1950),90-95.

### 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