Abstract
The theoretical compressive strength for a highly anisotropic material has recently been derived directly from the equilibrium equations. This result is combined with a new micro-mechanics solution for the longitudinal shear property of a hexagonally arranged fiber system. An application is made to the problem of an axially loaded thin cylindrical shell of laminated composite material. In effect, the material instability competes with the structural instability of the shell as a whole to determine the most limiting load condition. An optimal configuration is found for the lamina orientations which balances the two types of idealized instabilities.
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