Sommario
Si considerano esempi che spiegano il divario fra previsioni teoriche e osservazioni sperimentali per quanto riguarda la forma del confine elasto-plastico nella torsione di un solido circolare cilindrico. Si prendono in esame effetti di inomogenità locali nel limite di snervamento e nei corrugamenti nel contorno della sezione circolare. Entrambi gli effetti producono un accordo qualitativo con le osservazioni sperimentali. L'analogia della membrana per la torsione elasto-plastica è il mezzo usato per esaminare questi effetti. È necessario provare che l'analogia è valida per esempi particolari dove si considerano le inomogeneità. Vengono stabiliti teoremi relativi a questo caso.
Summary
Examples are considered which explain the discrepancy between the theoretical predictions and experimental observations of the shape of the elastic-plastic boundary for the torsion of a solid circular cylinder. Effects of local inhomogeneities in yield strength and of small corrugations in the boundary of the circular section are considered. Both effects produce qualitative agreement with experimental observation. The roof-membrane analogy for elastic-plastic torsion is the device used to examine these effects. It is necessary to prove that the analogy is valid for the particular examples where inhomogeneities are considered. Theorems are established relating to this case.
References
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This investigation was partially supported by the National Research Council of Canada.
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Shoemaker, E.M. Second order effects in the elastic-plastic torsion problem. Meccanica 8, 125–128 (1973). https://doi.org/10.1007/BF02155854
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DOI: https://doi.org/10.1007/BF02155854