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elasto-plastic beams; Hencky’s model of plasticity; Mindlin-Timoshenko beam; uncertain data
We apply the method of reliable solutions to the bending problem for an elasto-plastic beam, considering the yield function of the von Mises type with uncertain coefficients. The compatibility method is used to find the moments and shear forces. Then we solve a maximization problem for these quantities with respect to the uncertain input data.
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