Finite Element Analysis of Thick Shell of Revolution

by T. J. Chung, (A.M.ASCE), Visiting Assoc. Prof. of Engrg.; Res. Inst., Univ. of Alabama in Huntsville, Huntsville, AL,
Martin A. Bandy, Grad. Student; Vanderbilt Univ., Nashville, TN,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 4, Pg. 1315-1322

Document Type: Journal Paper


In the present study, the authors have sought a method in which thin shell approximations are modified so as to accommodate the behavior of a thick shell, thus requiring only six strain equations instead of eight and the elasticity matrix of only 3 x 3 instead of 5 x 5. Example problems include an axisymmetric hemispherical shell with various thickness dimensions. The radial displacements are compared with those by thin shell theory. It is shown that the presence of a transverse shear reduces the deflection, and this effect is less significant as the thickness is reduced.

Subject Headings: Finite element method | Thickness | Displacement (mechanics) | Approximation methods | Strain | Elastic analysis | Matrix (mathematics) | Axisymmetry

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