AN ANALYTICAL SOLUTION OF THERMOPLASTIC THICK-WALLED TUBE SUBJECT TO INTERNAL HEATING AND VARIABLE-PRESSURE, TAKING INTO ACCOUNT CORNER FLOW AND NONZERO INITIAL STRESS

An analytical model of an elastoplastic thick-walled tube subject to a n internal pressure and to an axisymmetrical time dependent temperatur e field is presented. The subsequent thermal expansion generates plast ic zones according to a precise predetermined order. Based on a set of simplifying, but realistic assumptions, we obtain a closed form solut ion expressed in terms of the main unknowns of the problem (i.e. the b oundaries of the elastoplastic zones). These unknowns are simply the r oots of a set of algebraic equations, and can easily be determined by simple numerical computations. Finally, a comparison with two-dimensio nal numerical results is presented. Copyright (C) 1996 Elsevier Scienc e Ltd