Abstract

The problem for determining residual displacements prior to the moment of the failure of an elastic perfectly plastic structure is formulated as a mathematic programming problem. The compatibility equations of residual strains for shakedown structures are considered on the basis of the generalized Lagrange problem. These equations as well as the yield and additional orthogonality conditions are well known in the mathematical programming theory as Kuhn-Tucker conditions. The compatibility equations of strains facilitate the solution of the kinematic formulation of degenerate problems.

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