Abstract
Within the framework of linear isotropic plane elasticity, a general method giving the elastic field in an internally stressed three-phase material is determined. The internal stress source may be located either in or near the lamellar component. General closed-form formulas solving the limiting case of a bimetallic interface are also obtained. As an example of application, the interaction between a lamellar inclusion and a dilatation centre is analyzed.
Riassunto
Nel presente lavoro viene elaborato un metodo per determinare il campo elastico in un materiale a tre fasi deformato internamente. Ciascuna fase e' supposta omogenea ed isotropa e si assume uno stato di deformazione piana, o di sforzo piano, trattabile mediante la teoria lineare dell'elasticita'. La sorgente di deformazione puo' essere localizzata all'interno oppure all'esterno del componente lamellare. Formule risolutive esatte si ricavano nel caso limite di mezzo bifasico. Come esempio di applicazione, viene analizzata l'interazione tra un'inclusione lamellare ed un centro di dilatazione.
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Work supported by the Ministero della Publica Istruzione, Italy
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Stagni, L., Lizzio, R. The lamellar inclusion problem in plane elasticity. Z. angew. Math. Phys. 37, 479–490 (1986). https://doi.org/10.1007/BF00945426
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DOI: https://doi.org/10.1007/BF00945426