Abstract
A reduced but equivalent form of Koiter's upper bound kinematic theorem, which does not involve time integrals, is deduced, provided that the plastic strain rates at every point of a structure are confined to a certain number of possible directions in the strain space. Generally it yields an upper bound on the shakedown factor, which improves upon the previous one by Pham and Stumpf.Sommario. Una forma ridotta ma equivalente del teorema cinematica di Koiter sul limite superiore, che non coinvolge integrali temporali, viene dedotta sotto la condizione che le velocità di deformazione plastica in ogni punto della struttura siano confinate ad un certo numero di possibili direzioni nello spazio delle deformazioni. Generalmente, ciò produce un limite superiore sul fattore di shakedown, che migliora quello precedente di Pham e Stumpf.
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Chinh, P.D. An Upper Bound Kinematic Approach to the Shakedown Analysis of Structures. Meccanica 34, 49–56 (1999). https://doi.org/10.1023/A:1004427528433
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DOI: https://doi.org/10.1023/A:1004427528433