Abstract

Summary Equations of equilibrium and corresponding four geometric and static boundary conditions are derived for an entirely Lagran­ gian non-linear theory of thin shells. In case of a linearly elastic material and conservative external forces all shell re­ lations are exactly derivable as stationarity conditions of the Hu - Washizu free functional. The set of equations is consisten­ tly reduced in the case of the geometrically non-linear theory of thin elastic shells undergoing large/small rotations.

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