Abstract
A finite strain analysis is presented for internally pressurized rotating tubes. Material behaviour is governed by an elastoplastic flow theory associated with an orthotropic yield function due to Hill. The deformation pattern is restricted by the neglect of elastic compressibility and by the plane strain constraint, but allows for arbitrary strain hardening. That model includes the isotropic Mises and Tresca solids as particular cases. An exact quadrature type solution is given for the field equations. Comparison with experimental results for the bursting pressure of aluminum and copper tubes suggests an improvement when plastic orthotropy is accounted for. Some further analytical results are derived for thin walled tubes, elastic/perfectly-plastic solids, and for the small strain behaviour of elastic/linear-hardening tubes.
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