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Alternative approach to shakedown as a solution of a min-max problem

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Summary

Melan's classical shakedown theorem for continuous media considered as a problem of methematical programming with constraints is reformulated and reduced to a solution of a certain min-max problem. A similar approach is presented for the structural theory described in terms of generalized variables. A distinction is made between alternating plasticity and incremental collapse modes in the analysis of structures with nonsandwich cross-sections.

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  1. S. Pycko & Z. Mróz

    Present address: Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Świętokrzyska 21, 00-049, Warsaw, Poland

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    1. S. Pycko
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    2. Z. Mróz
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    Pycko, S., Mróz, Z. Alternative approach to shakedown as a solution of a min-max problem. Acta Mechanica 93, 205–222 (1992). https://doi.org/10.1007/BF01182585

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