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An analytical solution of thermoplastic thick-walled tube subject to internal heating and variable pressure, taking into account corner flow and nonzero initial stress. (English) Zbl 0901.73027
Summary: An analytical model of an elastoplastic thick-walled tube subject to an internal pressure and to an axisymmetrical time-dependent temperature field is presented. The subsequent thermal expansion generates plastic zones according to a precise predetermined order. Based on a set of simplifying, but realistic assumptions, we obtain a closed form solution expressed in terms of the main unknowns of the problem (i.e. the boundaries of the elastoplastic zones). These unknowns are simply the roots of a set of algebraic equations, and can easily be determined by simple numerical computations. Finally, a comparison with two-dimensional numerical results is presented.

MSC:
74C99 Plastic materials, materials of stress-rate and internal-variable type
80A20 Heat and mass transfer, heat flow (MSC2010)
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