Optimal Design of Plates Loaded by Two Opposite Sets of Loads
Optimal plastic design of plates and shells loaded by a set of unidirectional loads was considered in numerous papers (see review [1, 2]). In deriving solutions, usually the optimality condition of Drucker and Shield [3, 4] was utilized. For a plate subjected to lateral loading it requires a constant rate of dissipation per unit area of the middle surface. However, as it was shown by Mróz , this stationarity condition may correspond neither to local nor global minimum in the case of solid plates for which the problem of optimal design requires reformulation in order to achieve meaningful solutions .
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- 1.Reitman, M. L, Shapiro, G. S.: Theory of Optimal Design in Structural Mechanics and the Theories of Elasticity and Plasticity (in Russian). Ac. Sci. USSR, Moscow, 1966.Google Scholar
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- 3.Drucker, D. C., Shield, R. T.: Design for Minimum Weight, Proc. 9th Intern. Congr. Appl. Mech., Brussels, 1956.Google Scholar