Transient heating of a rotating elastic–plastic shrink fit

Effect of a temperature cycle on a rotating elastic–plastic shaft

“…An elastic-plastic analysis of a rotating shrink fit was obtained by Mack and Plöchl in [56] and Mack et al in [57]. In 2003, Eraslan and Akis [58] analyzed the elastic-plastic stress distribution in a rotating linearly and nonlinearly hardening hollow thin disk which is mounted on a rigid shaft subjected to a steady-state temperature gradient.…”

“…where σ 0 denotes the uniaxial yield limit at reference temperature and β the temperature dependence parameter of the material [45], [56]. T , which will be examined in the Section 3.2, means the difference of absolute and reference temperatures.…”

“…As seen in the figure, the temperature at the surface of the shaft is increased To model this temperature cycle, the surface temperature of the shaft is prescribed as a sectionally linear function of time [56]. Thus, the heat conduction problem is described by the following differential equation: 6) in which κ denotes the thermal diffusivity, subject to the initial condition…”

“…where ν denotes Poison's ratio, G is modulus of rigidity, p i are plastic strain components and α is the coefficient of thermal expansion in material [56], [59]. It is presumed that the strains are additively composed of elastic, plastic and thermal parts in these equations.…”

“…Thereafter, a predeformed elastic region begins to spread inwards rapidly, first into plastic region II then into plastic region I and to the center. The basic criterion for unloaded state at some radius r at time t u (r) is (see [56])…”