- Tytuł:
- Some boundary value problems for a micropolar porous elastic body
- Autorzy:
-
Janjgava, R.
Gulua, B.
Tsotniashvili, S. - Powiązania:
- https://bibliotekanauki.pl/articles/38610598.pdf
- Data publikacji:
- 2020
- Wydawca:
- Instytut Podstawowych Problemów Techniki PAN
- Tematy:
-
materials with voids
Cosserat elastic media
theory of microstretch
boundary value problems
circle and infinite plane with a circular hole - Opis:
- The paper reviews the static equilibrium of a micropolar porous elastic material. We assume that the body under consideration is an elastic Cosserat media with voids, however, it can also be considered as an elastic microstretch solid, since the basic differential equations and mathematical formulations of boundary value problems in these two cases are actually identical. As regards the three-dimensional case, the existence and uniqueness of a weak solution of some boundary value problems are proved. The two-dimensional system of equations corresponding to a plane deformation case is written in a complex form and its general solution is presented with the use of two analytic functions of a complex variable and two solutions of the Helmholtz equations. On the basis of the constructed general representation, specific boundary value problems are solved for a circle and an infinite plane with a circular hole.
- Źródło:
-
Archives of Mechanics; 2020, 72, 6; 485-509
0373-2029 - Pojawia się w:
- Archives of Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł