TORSION OF CIRCULAR RODS UNDER ORTHOTROPIC CREEP
I.A. Banshchikova
Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Keywords: structural alloy, orthotropy, creep, torsion, circular rod, minimum additional dissipation, minimum total power, method of characteristic points, method of skeletal points
Abstract
The problem of torsion of orthotropic circular rods under a constant torque in the creep regime is considered. Solutions are compared for three types of rods made from a transversely isotropic plate: (1) an isotropic rod with properties corresponding to those in the plane of the plate; (2) a rod oriented normal to the plate, taking into account the transversely isotropic properties of the material; (3) a rod oriented in the longitudinal direction of the plate, taking into account the transversely isotropic properties of the material. In a two-dimensional formulation, analytical solutions and estimates for the angular velocity of twist are obtained under the assumption of steady-state creep and no constraint of displacements at the rod ends along its axis. The resulting solutions are compared with the results of three-dimensional finite element calculations in the ANSYS software package. The possibility of estimating the stress-strain state by the method of characteristic parameters for rods of all three types is demonstrated. The resulting analytical dependences make it possible to determine the shear parameters of the material from torsion tests.
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