Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material
AbstractIn the work, a two-dimensional problem of a porous material is considered within the context of the fractional order generalized thermoelasticity theory with one relaxation time. The medium is assumed initially quiescent for a thermoelastic half space whose surface is traction free and has a...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Marcílio Alves
|
| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000701415&lng=en&tlng=en |
| _version_ | 1811283480694226944 |
|---|---|
| author | Ibrahim A. Abbas Hamdy M. Youssef |
| author_facet | Ibrahim A. Abbas Hamdy M. Youssef |
| author_sort | Ibrahim A. Abbas |
| collection | DOAJ |
| description | AbstractIn the work, a two-dimensional problem of a porous material is considered within the context of the fractional order generalized thermoelasticity theory with one relaxation time. The medium is assumed initially quiescent for a thermoelastic half space whose surface is traction free and has a constant heat flux. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. The effect of the fractional order of the temperature, displacement components, the stress components, changes in volume fraction field and temperature distribution have been depicted graphically. |
| first_indexed | 2024-04-13T02:12:24Z |
| format | Article |
| id | doaj.art-26cde145d2764a1397ec4fef5c1ee755 |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-04-13T02:12:24Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-26cde145d2764a1397ec4fef5c1ee7552022-12-22T03:07:14ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-78251271415143110.1590/1679-78251584S1679-78252015000701415Two-Dimensional Fractional Order Generalized Thermoelastic Porous MaterialIbrahim A. AbbasHamdy M. YoussefAbstractIn the work, a two-dimensional problem of a porous material is considered within the context of the fractional order generalized thermoelasticity theory with one relaxation time. The medium is assumed initially quiescent for a thermoelastic half space whose surface is traction free and has a constant heat flux. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. The effect of the fractional order of the temperature, displacement components, the stress components, changes in volume fraction field and temperature distribution have been depicted graphically.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000701415&lng=en&tlng=enFractional derivativePorous materialNormal mode analysisEigenvalue approach |
| spellingShingle | Ibrahim A. Abbas Hamdy M. Youssef Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material Latin American Journal of Solids and Structures Fractional derivative Porous material Normal mode analysis Eigenvalue approach |
| title | Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material |
| title_full | Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material |
| title_fullStr | Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material |
| title_full_unstemmed | Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material |
| title_short | Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material |
| title_sort | two dimensional fractional order generalized thermoelastic porous material |
| topic | Fractional derivative Porous material Normal mode analysis Eigenvalue approach |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000701415&lng=en&tlng=en |
| work_keys_str_mv | AT ibrahimaabbas twodimensionalfractionalordergeneralizedthermoelasticporousmaterial AT hamdymyoussef twodimensionalfractionalordergeneralizedthermoelasticporousmaterial |