Abstract

AbstractAlternate hybrid stress finite element models in which the internal equilibrium equations are satisfied on the average only, while the equilibrium equations along the interelement boundaries and the static boundary conditions are adhered to exactly a priori, are developed. The variational principle and the corresponding finite element formulation, which allows the standard direct stiffness method of structural analysis to be used, are discussed. Triangular elements for a moderately thick plate and a doubly‐curved shallow thin shell are developed. Kinematic displacement modes, convergence criteria and bounds for the direct flexibility‐influence coefficient are examined.

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