PLASTIC-DEFORMATION AND BURST OF PRESSURIZED MULTILAYERED CYLINDERS

A large strain analysis is presented for internally pressurized multil ayered tubes, in generalized plane strain. Material behavior is modele d by an elastoplastic deformation theory with an orthotropic yield fun ction, introduced by Hill, and arbitrary hardening. Elastic compressib ility is neglected. An exact solution is given, in terms of quadrature s, along with a general condition for burst. Simple yet useful relatio ns are derived for thin-walled cylinders with the neglect of elastic s trains. For rigid/nonlinear-hardening response, we obtain an expressio n for the onset of burst in terms of overall effective moduli. A few n umerical examples are given and the possibility of locating an optimal two-layer configuration is discussed. It appears that optimization wi th respect to weight is attainable provided that appropriate materials are selected.