Abstract
On the basis of the theory of small elastic plastic deformations obtained at the loading step in the curvilinear coordinate system of the relationship between stress increments and strain increments, which are implemented in the matrix of shell stiffness under flat loading In this paper, algorithms for obtaining physically nonlinear relations at the loading step in finite element calculations of shells under flat loading are developed.On the basis of relations of deformation theory of plasticity the equations of connection between increments of stresses and increments of deformations at flat loading in elastic plastic stage of work are received. The coefficients of proportionality are obtained when using the strain diagram of the material. The found defining relations are implemented in the algorithm of forming the stiffness matrix of the finite element of the shell under flat loading. Specific examples show the effectiveness of the developed algorithms for the calculation of the shell with a flat loading beyond the elasticity limits.
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