4.1 Article

Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material

Journal

LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
Volume 12, Issue 7, Pages 1415-1431

Publisher

LATIN AMER J SOLIDS STRUCTURES
DOI: 10.1590/1679-78251584

Keywords

Fractional derivative; Porous material; Normal mode analysis; Eigenvalue approach

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In 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.

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