Assuming the specific elastic strain energy as a meaningful measure of the stiffness/flexibility of a structural element, in this paper orthotropic shell structures of general shape will be considered and extreme values of the stored strain energy density sought. The role of design variable will be played by the local orientation of the principal directions of orthotropy with respect to a given reference frame, defined on the mid-surface of the shell. Assuming the strain field as prescribed, the optimization problem will be formulated in variational form as a min max problem and the necessary condition for stationarity will be obtained as well. Special features of such optimality condition will be discussed and the analogies with similar problems in plane elasticity pointed out.
On maximum stiffness of orthotropic shells
TALIERCIO, ALBERTO;
1991-01-01
Abstract
Assuming the specific elastic strain energy as a meaningful measure of the stiffness/flexibility of a structural element, in this paper orthotropic shell structures of general shape will be considered and extreme values of the stored strain energy density sought. The role of design variable will be played by the local orientation of the principal directions of orthotropy with respect to a given reference frame, defined on the mid-surface of the shell. Assuming the strain field as prescribed, the optimization problem will be formulated in variational form as a min max problem and the necessary condition for stationarity will be obtained as well. Special features of such optimality condition will be discussed and the analogies with similar problems in plane elasticity pointed out.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.