Abstract
Summary A problem of ideal elastoplastic structures stress-strain field determination is considered in the article. The general dual mathematical models (static and kinematic formulation) of analysis problem is derived on the basis of the extremal energy principles and theory of duality. The different external effects are estimated, namely: load, initial strains, prestressing and support settlements. At first, on the basis of the complementary energy principle the mathematical model of static formulation of the problem is made. The kinematic formulation of the problem is obtained on the basis of Lagrange's multipliers method; this corresponds to the minimum total energy principle for a kinematically admissible displacements. In these mathematical models the possible discontinuity of displacements and the dissipation of energy in the place of those discontinuities are estimated what was not done in the previous publications. The discrete expressions of fundamental relationships (equilibrium and geometric e...
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