Abstract
The problem of optimal design with respect to ductile creep rupture time for rotating disks is solved. The finite strain theory is applied, the material is described by the Norton-Bailey law generalized for true stresses and logarithmic strains. The set of four partial differential equations describing the problem is derived. The optimal shape of the disk is found using parametric optimization with one or two free parameters. The results are compared with disks of uniform thickness.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Gajewski, A. 1981: Effect of physical nonlinearities on optimal design structures.Proc. IUTAM Symp. on Physical Nonlinearities (held in Senlis), pp. 81–84. Berlin, Heidelberg, New York: Springer
Ganczarski, A.; Skrzypek, J. 1989: Optimal prestressing and design of rotating disks against brittle-rupture under unsteady creep conditions.Rozpr. Inż. (Eng. trans.)37, 627–650
Ganczarski, A.; Skrzypek, J. 1992: Optimal shape of prestressed disks in creep.Struct. Optim. 4, 47–54
Gunneskov, O. 1976: Optimal design of rotating disks in creep.J. Struct. Mech. 2, 141–160
Hoff, N.J. 1953: The necking and rupture of rods subjected to constant tensile loads.J. Appl. Mech. Trans. ASME 20, 105–112
Kostyuk, A.G. 1953: Analysis of profile of rotating disk in creep conditions (in Russian).Prikl. Mat. Mekh. 17, 615–618
Prager, W. 1968: Optimal structural design for given stiffness in stationary creep.Z. Angew. Math. Phys. 2, 252–256
Rysz, M. 1987: Optimal design of a thick-walled pipeline crosssection against creep rupture.Acta Mechanica 1/4, 83–102
Szuwalski, K. 1989: Optimal design of bars under nonuniform tension with respect to ductile creep rupture.Mech. Struct. Mach. 3, 303–319
Szuwalski, K. 1991: Bars of uniform strength vs. optimal with respect to ductile creep rupture time.Proc. IUTAM Symp. on Creep in Structures (held in Cracow), pp. 637–643. Berlin, Heidelberg, New York: Springer
Świsterski, W.; Wróblewski, A.; Życzkowski, M. 1983: Geometrically non-linear eccentrically compressed columns of uniform strength vs. optimal columns.Int. J. Nonlinear Mech. 18, 287–296
Życzkowski, M. 1971: Optimal structural design in rheology.J. Appl. Mech. 1, 39–46
Życzkowski, M. 1988: Optimal structural design under creep conditions.Appl. Mech. Rev. 12, 453–461
Życzkowski, M.; Rysz, M. 1986: Optimization of cylindrical shells under combined loading against brittle creep rupture.Proc. IUTAM Symp. on Inelastic Behaviour of Plates and Shells (held in Rio de Janeiro), pp. 385–401. Berlin, Heidelberg, New York: Springer
Życzkowski, M.; Świsterski, W. 1980: Optimal structural design of flexible beams with respect to creep rupture time.Proc. IUTAM Symp. on Structural Control (held in Waterloo), pp. 795–810. Amsterdam: North-Holland
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Szuwalski, K. Optimal design of disks with respect to ductile creep rupture time. Structural Optimization 10, 54–60 (1995). https://doi.org/10.1007/BF01743695
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01743695