Abstract
The elastic stress state of inclusions containing eigenstrains located in an infinite non-local media are discussed. Closed-form expressions are provided for the specific cases of spherical and cylindrical inclusions. The results indicate that non-locality reduces the stress jump across the inclusion interface when compared with the classical case (i.e. reduction in the so-called stress concentration). We also prove, using asymptotic analysis, the disappearance of stress singularities for polyhedral inclusions in non-local elastic solids. The obtained results are size dependent and asymptotically approach the classical size-independent solution for a ‘large’ inclusion size.
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