- Tytuł:
- Analytical solution of mixed boundary value problems using the displacement potential approach for the case of plane stress and plane strain conditions
- Autorzy:
- Deb Nath, S. K.
- Powiązania:
- https://bibliotekanauki.pl/articles/266247.pdf
- Data publikacji:
- 2017
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
rozwiązanie analityczne
naprężenie płaskie
odkształcenie
wartość graniczna
analytical solution
displacement potential approach
plane stress and plane strain conditions
mixed boundary value problems - Opis:
- Two elastic plate problems made of duralumin are solved analytically using the displacement potential approach for the case of plane strain and plane stress conditions. Firstly, a one end fixed plate is considered in which the rest of the edges are stiffened and a uniform load is applied to the opposite end of the fixed end. Secondly, a plate is considered in which all of the edges are stiffened and a uniform tension is applied at its both ends. Solutions to both of the problems are presented for the case of plane stress and plane strain conditions. The effects of plane stress and plane strain conditions on the solutions are explained. In the case of stiffening of the edges of the plate, the shape of the plate does not change abruptly, which is clearly observed in both of the cases. For the plane strain condition, the plates become stiffer in the loading direction as compared to the plane stress condition. For the plane strain condition, there is a significant variation of the normal stress component, σzz at different sections of the plate. The graphical results, clearly identify the critical regions of the plate for the case of the plane stress and plane strain condition.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 269-291
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł