- Tytuł:
- Uniform field within a non-elliptical inhomogeneity in the vicinity of a nearby non-circular Eshelby inclusion
- Autorzy:
-
Wang, X.
Schiavone, P. - Powiązania:
- https://bibliotekanauki.pl/articles/38629511.pdf
- Data publikacji:
- 2021
- Wydawca:
- Instytut Podstawowych Problemów Techniki PAN
- Tematy:
-
non-elliptical inhomogeneity
Booth’s lemniscate inclusion
uniform field
conformal mapping
anti-plane elasticity
inverse problem - Opis:
- We rigorously prove that a non-elliptical inhomogeneity continues to permit an internal uniform stress field despite the presence of a nearby non-circular Eshelby inclusion undergoing uniform anti-plane eigenstrains when the surrounding matrix is subjected to uniform remote anti-plane stresses. Here, we adopt a specific representation of the non-circular Eshelby inclusion as a Booth’s lemniscate inclusion. Our analysis indicates that the internal uniform stress field inside the non-elliptical inhomogeneity is independent of the existence of the Booth’s lemniscate inclusion whereas the non-elliptical shape of the inhomogeneity is attributed entirely to its presence. Representative numerical examples are presented to demonstrate the feasibility of the proposed method of general solution.
- Źródło:
-
Archives of Mechanics; 2021, 73, 5-6; 541-555
0373-2029 - Pojawia się w:
- Archives of Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł