Abstract
In work the limit state of cylindrical and prismatic rods from anisotropic ideal rigid-plastic material is investigated under torsion for arbitrary condition of plasticity, and the torsion of anisotropic and non-uniform rods with elliptic section under the condition of Mises-Hill plasticity is considered. The integrals determining the stressed state of an anisotropic rod under arbitrary condition of plasticity are obtained, the field of characteristics of the basic ratios for anisotropic and composite rods under the condition of Mises-Hill plasticity is constructed, the ratios along characteristics are obtained, the envelopes of the family of characteristics and lines of tension rupture are found.
Highlights
Torsion is a type of deformation of solids characterized by mutual rotation of its cross sections under the influence of moments operating in these sections
The theory of torsion of isotropic and anisotropic rods belongs to the number of developed sections of the theory of an ideal rigid-plastic solid
Researches on the theory of torsion of isotropic and anisotropic ideal rigid-plastic rods are presented in works [1]-[4]
Summary
Torsion is a type of deformation of solids characterized by mutual rotation of its cross sections under the influence of moments operating in these sections. The theory of torsion of isotropic and anisotropic rods belongs to the number of developed sections of the theory of an ideal rigid-plastic solid. Researches on the theory of torsion of non-uniform rods are not enough. Researches on the theory of torsion of isotropic and anisotropic ideal rigid-plastic rods are presented in works [1]-[4]. Torsion of non-uniform and compound rods is considered in works [5]-[7]. The results obtained in the work can be applied in mechanical engineering in determining of ultimate loadings on the rod as a result of torsion, in solving of new problems of the theory of limit state, in calculations of the bearing capacity of various solids and structures
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