Boundary integral equations for anisotropic elasticity of solids containing rigid thread-like inclusions

Iaroslav Pasternak , Nataliia Ilchuk , Heorhiy Sulym , Oleksandr Andriichuk


The paper presents a novel approach in derivation and solution of boundary integral equations of anisotropic elasticity of solids containing thin rigid wires (thread-like inclusions). It proposes to model rigid thread-like inclusions as spatial curves, which can rotate as a rigid one and possess certain rigid displacement. Somigliana identity is written for solids containing rigid thread-like inclusions, which are modeled by spatial curves. Based on this identity the hypersingular boundary integral equations are derived, and it is shown that they also include the non-singular terms. The comparison is made between the models and integral equations for 3D rigid thread-like inclusions and 2D rigid line inclusions. A problem for a single rectilinear rigid thread-like inclusion in an infinite elastic medium is considered. Its solution strategy is proposed based on the boundary element approach. Distribution of forces along the inclusion modeling line and the displacement field near its tip are shown.
Author Iaroslav Pasternak
Iaroslav Pasternak,,
, Nataliia Ilchuk
Nataliia Ilchuk,,
, Heorhiy Sulym (FME / DMACS)
Heorhiy Sulym,,
- Department of Mechanics and Applied Computer Science
, Oleksandr Andriichuk
Oleksandr Andriichuk,,
Journal seriesMechanics Research Communications, ISSN 0093-6413, (N/A 70 pkt)
Issue year2019
Keywords in Englishthread-like, inclusion, boundary integral equation, Hadamard finite part, anisotropy
ASJC Classification2205 Civil and Structural Engineering; 2210 Mechanical Engineering; 2211 Mechanics of Materials; 2500 General Materials Science; 3104 Condensed Matter Physics
Internal identifierROC 19-20
Languageen angielski
Score (nominal)70
Score sourcejournalList
ScoreMinisterial score = 70.0, 12-02-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 1.056; WoS Impact Factor: 2018 = 2.229 (2) - 2018=2.096 (5)
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