Abstract
A path-independent integral has been stated by Bui in the presence of a straight crack in a two-dimensional deformation field. Such an integral isdual to the Rice integral in the sense that it is based on the complementary stress energy density. Here we establish a boundary-independent integral in finite elasticity from which Bui's result follows as a particular case.
Sommario
Un integrale indipendente dal cammino intorno al vertice di una frattura in un campo di deformazione bi-dimensionale è stato stabilito da Bui. Tale integrale èduale all'integrale di Rice, nel senso che si basa sulla densità di energia complementare o degli sforzi. Qui si propone un integrale invariante in un continuo tridimensionale soggetto a deformazioni finite. Si mostra che il risultato di Bui segue come caseo particolare.
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Trimarco, C., Maugin, G.A. Bui's path-independent integral in finite elasticity. Meccanica 30, 139–145 (1995). https://doi.org/10.1007/BF00990452
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DOI: https://doi.org/10.1007/BF00990452