Elastic Equilibrium of Porous Cosserat Media with Double Porosity
The static equilibrium of porous elastic materials with double porosity is considered in the case of an elastic Cosserat medium. The corresponding three-dimensional system of differential equations is derived. Detailed consideration is given to the case of plane deformation. A two-dimensional system...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/4792148 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562914974760960 |
|---|---|
| author | Roman Janjgava |
| author_facet | Roman Janjgava |
| author_sort | Roman Janjgava |
| collection | DOAJ |
| description | The static equilibrium of porous elastic materials with double porosity is considered in the case of an elastic Cosserat medium. The corresponding three-dimensional system of differential equations is derived. Detailed consideration is given to the case of plane deformation. A two-dimensional system of equations of plane deformation is written in the complex form and its general solution is represented by means of three analytic functions of a complex variable and two solutions of Helmholtz equations. The constructed general solution enables one to solve analytically a sufficiently wide class of plane boundary value problems of the elastic equilibrium of porous Cosserat media with double porosity. A concrete boundary value problem for a concentric ring is solved. |
| format | Article |
| id | doaj-art-ea97491780e346fcab2051936428b750 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ea97491780e346fcab2051936428b7502025-02-03T01:21:34ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/47921484792148Elastic Equilibrium of Porous Cosserat Media with Double PorosityRoman Janjgava0Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, 2 University Street, 0186 Tbilisi, GeorgiaThe static equilibrium of porous elastic materials with double porosity is considered in the case of an elastic Cosserat medium. The corresponding three-dimensional system of differential equations is derived. Detailed consideration is given to the case of plane deformation. A two-dimensional system of equations of plane deformation is written in the complex form and its general solution is represented by means of three analytic functions of a complex variable and two solutions of Helmholtz equations. The constructed general solution enables one to solve analytically a sufficiently wide class of plane boundary value problems of the elastic equilibrium of porous Cosserat media with double porosity. A concrete boundary value problem for a concentric ring is solved.http://dx.doi.org/10.1155/2016/4792148 |
| spellingShingle | Roman Janjgava Elastic Equilibrium of Porous Cosserat Media with Double Porosity Advances in Mathematical Physics |
| title | Elastic Equilibrium of Porous Cosserat Media with Double Porosity |
| title_full | Elastic Equilibrium of Porous Cosserat Media with Double Porosity |
| title_fullStr | Elastic Equilibrium of Porous Cosserat Media with Double Porosity |
| title_full_unstemmed | Elastic Equilibrium of Porous Cosserat Media with Double Porosity |
| title_short | Elastic Equilibrium of Porous Cosserat Media with Double Porosity |
| title_sort | elastic equilibrium of porous cosserat media with double porosity |
| url | http://dx.doi.org/10.1155/2016/4792148 |
| work_keys_str_mv | AT romanjanjgava elasticequilibriumofporouscosseratmediawithdoubleporosity |