Engineering Transactions, 43, 4, pp. 545-552, 1995

Finite Element Applications to Evaluate the Stress and Strain Field in the Vicinity of an Imperfection in Thin Shells

S. Karpiński
Warsaw University of Technology, Warszawa

The paper presents the method of calculation of the mechanical and technological parameters of thin spherical shells loaded by internal pressure. The FEM and the plasticity law of the material are introduced to the calculation. The deviations from the designed geometry of spherical shells may be due to fabrication and installation defects, and for that reason it is necessary to evaluate the level of stresses and the nature of the stress redistribution. Numerical results are presented on the diagrams to demonstrate the efficiency of the method and general conclusions are also given at the end of paper.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


J.L. SANDERS, Nonlinear theories for thin shells, Quarterly of Applied Mathematics, 21, 21-36, 1963.

J.W. BULL [Ed], Finite element analysis of thin-walled structures, Elsevier Applied Science, London 1988.

HEYMAN, On shell solutions for masonry domes, Int. J. Solids and Structures, 3, 227-241, 1967.

C. CALLADINE, Structural consequences of small imperfections in elastic thin shell of revolution, Int. J. Solids and Structures, 8, 679-697, 1972.

F.G. FLORES and L.A. GODOY, Linear versus nonlinear analysis of imperfect spherical pressure vessels, Int. J. Pressure Vessels and Piping, 33, 95-105, 1988.

KAPIŃSKI, Influence of the punch velocity on deformation of the material in deep-drawn flange, J. Materials Processing Technology, 34, 419-424, 1992.

D.R.J. OWEN and E. HINTON, Finite elements in plasticity, Swansea U.K. 1980.

S. KAPIŃSKI, Microcomputer FEM program of nonlinear mechanics of materials (plane and axisymmetric states) [in Polish], No. 1-4, 1989.