Optimal Design of Viscoplastic Structures Under Dynamic Loadings
Constitutive equations of viscoplasticity belong to the most complicated ones, hence optimal design of viscoplastic structures is usually performed in a purely numerical way, and the use of suitable discretization methods is necessary. In the present paper finite element method is used for optimal design of a rigid-viscoplastic bar under the impact of anial force. Minimal residual displa-cement is assumed as the design objective under the constraint of constant volume of the bar. Finite strains are allowed for and various shapes of force impulse are considered. Optimization of viscoplastic I-beams under dynamic loadings is also mentioned.
Unable to display preview. Download preview PDF.
- M. Życzkowski, “Optimal structural design under creep conditions”, App1ied Mechanics Reviews, Vol.41, Dec. 1988.Google Scholar
- E. Cegielski, “Optimization of rigid visco-plastic bars and beams under dynamic loadings”, Proc. IV Bulo. Conor. Mech., Varna, Vol. 1, pp. 484–489, Varna, 1981.Google Scholar
- E. Cegielski and M. Życzkowski, “Optimization of some viscoplastic structures under variable loads”, Proc. Euromech Coll. 174 on Inelastic Structures. Palermo 1983, COGRAS, Palermo 1984, pp. 105–116.Google Scholar
- M. Życzkowski and E. Cegielski, “Parametryczna optymalizacja belek sztywno - lepk:oplastycznych pod dziaianiem obciąźeń dynamicznych”, Archiwum Inź. Ladowej, Vol. 32, pp. 95–104, Jan. 1986.Google Scholar
- M. Życzkowski, “Optimal structural design in rheology”, 12th Int. Congr. Theor. Appl. Mech., Stanford 1968; J. Appl. Mech.. Vol. 38, pp. 39–46, Jan. 1971.Google Scholar
- M. Życzkowski and A. Gajewski, Optimal structural design under stability constraints, Kluwer Academic Press, Dordrecht/Boston/London, 1988.Google Scholar
- M. Manjoine, “Influence of rate of strain and temperature on yield stress of mild steel”, J. Appl. Mech., Vol. 11, pp. 211–218, 1944.Google Scholar