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Application of a Mixed Variational Principle to Buckling Analysis of Circular Cylinders
Author(s) -
Dost S.,
Tabarrok B.
Publication year - 1988
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19880680302
Subject(s) - variational principle , mathematics , buckling , compatibility (geochemistry) , mathematical analysis , classical mechanics , physics , materials science , thermodynamics , composite material
A mixed variational formulation for large deformation analysis of circular cylinders is introduced. In this formulation the equilibrium and compatibility equations are satisfied identically by means of stress functions and by the use of displacement components, respectively, and the constitutive equations are satisfied in a least squares sense. The variational functional is linearized in the neighborhood of an initial equilibrium for the stability analysis of cylinders. Two classical examples are solved to illustrate the theory.