Abstract
Mathematical model of mechanical behavior of viscoelastic bodies in complex stress state with regard to phase (crystallization) transitions, which describes technological stress field formation regularities in manufacturing polymer articles, is considered. Constitutive relationships describing stress and strain tensors correlation in a wide temperature range, including crystallization temperatures, are suggested. The thermal mechanics boundary-value problem that includes the obtained relationships is formulated. Algorithms of numerical realization of the temperature-conversion problem and the crystallizing system stress-strain state definition problem for an axisymmetric case are examined. Numerical realization features of the mechanical problem solution are discussed. The problem of technological stresses formation during steel and polyethylene tubes permanent connection manufacturing has been solved as the mathematical model application.
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