Issue
J. Phys. IV France
Volume 08, Number PR8, November 1998
2nd European Mechanics of Materials Conference on Mechanics of Materials with Intrinsic Length Scale : Physics, Experiments, Modelling and Applications
Page(s) Pr8-309 - Pr8-316
DOI https://doi.org/10.1051/jp4:1998838
2nd European Mechanics of Materials Conference on Mechanics of Materials with Intrinsic Length Scale : Physics, Experiments, Modelling and Applications

J. Phys. IV France 08 (1998) Pr8-309-Pr8-316

DOI: 10.1051/jp4:1998838

Imperfections in non-local elasticity

Y.Z. Povstenko

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, Naukova 3-b, 290601 Lviv-MCP, Ukraine


Abstract
In non-local elasticity the stress at a reference point depends not only on the strain at this point but also on strains at all other points of the body. Various type imperfections are investigated in the frame-work of this theory. The non-local stresses have no singularities in contrat to the corresponding classical results which yield infinite stresses and divergent energies and cannot describe the situation in the strongly distorted region in the vicinity of the defect.



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