Affiliation:
1. Cracow University of Technology
Abstract
The paper presents a simulation model for the creep process of rotating disks under radial tensional pressure subjected to of body force. The finite strain theory is applied. The material is described by the Norton-Bailey law generalized for true stresses and logarithmic strains. The mathematical model is formulated in form of set of four partial differential equations with respect to radial coordinate and time. Necessary initial and boundary conditions are also given. To make the model complete, the numerical procedure for solving this set is proposed. What is worth noticing the classical FEM is not applicable, because not only geometry, but also loading (body forces) change in time during the creep process. It would demand redefinition of finite elements at each time step. In uniaxial problem similar model was presented in [4], but now it is developed for complex stress state. Possible different formulations of initial and boundary conditions may be found in [5]. The procedure may be useful in problems of optimal design of full disks in [6].
Publisher
Trans Tech Publications, Ltd.
Reference6 articles.
1. N.J., Hoff, The necking and rupture of rods subjected to constant tensile loads, J. Appl. Mech. Trans. ASME 20 (1953) 105–112.
2. L. M., Kachanov, Rupture time under creep conditions. Int. Journal of Fracture. 97 (1999) xi-xviii.
3. K., Szuwalski, Optimal design of disks with respect to ductile creep rupture time. Struct. Opt., 10 (1995) 54-60.
4. K., Szuwalski, A., Ustrzycka, Optimal design of bars under nonuniform tension with respect to mixed creep rupture time. Int. J. Non-Linear Mech., 47, 55–60 (2012).
5. K., Szuwalski A., Ustrzycka, The influence of boundary conditions on optimal shape of annular disk with respect to ductile creep rupture time, European J. Mech. A/Solids, 37 (2013) 79-85.