Sommario
Per il caso speciale di non omogeneità elastica si presenta la soluzione, in forma chiusa, del problema degli sforzi e delle deformazioni in un semi-piano sotto carico concentrato, usando funzioni speciali come l'esponenziale integrale, il seno integrale e il coseno integrale. Si è trovato che sforzi e deformazioni dipendono entrambi dalle proprietà elastiche e che lo sforzo non è distribuito radialmente come si era assunto in precedenti ricerche in questo campo. A parte il suo valore teorico, la soluzione può essere applicata nella meccanica dei terreni. Per illustrare questa soluzione, l'Autore presenterà in una successiva memoria i grafici degli sforzi e delle deformazioni.
Summary
For the special case of elastic non-homogeneity, there is presented the solution of the problem of displacement and stress in a half-plane under concentrated load in the close form, by using the special functions, like the expotential integral, the sine integral and the cosine integral. It was found that both displacement and stress depend on elastic properties and that the stress is not radially distributed as it was assumed in the previous researches in this field. Apart from its theoretical value, the solution can be applied in soil mechanics. In order to illustrate this solution, the author is planning to present the graphs of displacement and stresses in the separate paper.
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Golecki, J.J. On non-radial stress distribution in non-homogenous elastic half-plane under concentrated load. Meccanica 6, 147–156 (1971). https://doi.org/10.1007/BF02128330
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DOI: https://doi.org/10.1007/BF02128330