Abstract
Applying Tresca's yield condition and the associated flow rule, the non-torsional axisymmetric deformation problem is regarded essentially as a kinematically determined one and transformed to the principal (stress, strain-rate) lines, which are the characteristics of the basic equations. The resulting two pairs of two quasi-ordinary first-order differential equations each form a system comparable with the Hencky equations of plane deformation. Existence and uniqueness of solutions for the initial value problem is proved and a numerical integration method developed. Concentric circles with their radial lines, centre at the axis, form a special field (‘fan’) of characteristics which is applied to a tube nosing process.
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