Mathematical models of boundary value problems in nanomechanics

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Abstract

Mathematical models of boundary value problems of elasticity incorporating surface stress are reviewed. In the case of 2-D problems, the basic ideas and the complete set of equations are presented. It is shown singular and hypersingular integral equations which have been derived by solving some 2-D problems using complex potentials and boundary perturbation technique.
Original languageEnglish
Pages (from-to)170006
JournalAIP Conference Proceedings
Volume1863(1)
DOIs
StatePublished - 2017
Externally publishedYes

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