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a current inclination angle of pass line normal a m, a 1 angles of levels of meniscus and of beginning As a partial solution of the differential equation of of curvilinear zone the continuous caster pass line, the analytical b factor considering platelike shape of shell relationship between the basic radius and the c relative thickness of extended layer in shape lengths of the radial and unbending zones was cross-section derived. Choosing rationally the length of the d, j thickness of solidified shell and unbending zone at a given unbending strain rate, half-thickness of liquid core it is possible to reduce the height of a high e total strain productivity caster and the ferrostatic pressure e b , e u , e t bulging, unbending, and tension strains within the strand shape to eliminate internal [e b ], [e u ] allowable inner shell surface strains caused cracking. The software developed allows the by bulging and by unbending temperature, stress, and strain distribution in the e ˙u, e∞ u unbending strain rate and specific strain strand shell to be determined and, for assumed s u unbending stress allowable strains due to bulging and unbending, the caster profile and the positioning of support and unbending rollers to be optimised. For the case of a technical conditions and parameters of technological pass