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The nonlocal theory of elasticity and its applications to the description of defects in solid bodies

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Abstract

The nonlocal theory of elasticity takes account of remote action forces between atoms. This causes the stresses to depend on the strains not only at an individual point under consideration, but at all points of the body. The stresses caused by defects in a nonlocally elastic medium have no nonphysical singularities, in contrast to the corresponding solutions obtained in the classical theory of elasticity.

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  1. Yu. Z. Povstenko
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Translated fromMatematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 41, No. 1, 1998, pp. 90–96.

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Povstenko, Y.Z. The nonlocal theory of elasticity and its applications to the description of defects in solid bodies. J Math Sci 97, 3840–3845 (1999). https://doi.org/10.1007/BF02364923

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