Geodesic
Mathematical model of generalized thermoelastic infinite medium with a spherical cavity and fractional order strain
Al-Lehaibi, Eman A. N.1
1 Mathematics Department, College of Science and Arts-Sharoura, Najran University, KSA
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 1, p. 30-37.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, a new mathematical model of a thermoelastic isotropic unbounded medium contains a spherical cavity thermally shocked under generalized thermo-elasticity with the fractional order strain model. The governing system of the partial differential equations has been derived in Laplace transform domain, and the inversion was done numerically by using the sum of Riemann approximation techniques. The numerical outputs of the displacement, the temperature, the stress, and the strain have been obtained and presented graphically. The fractional order parameter has an essential consequence on the stress, the strain, and the displacement distributions while its effect on the temperature increment distribution is very limited.
DOI : 10.22436/jnsa.012.01.03
Classification : 74B20, 74F05, 35R11, 65R10
Keywords: Generalized thermo-elasticity, spherical cavity, fractional calculus, fractional strain

Al-Lehaibi, Eman A. N. 1

1 Mathematics Department, College of Science and Arts-Sharoura, Najran University, KSA 
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 Al-Lehaibi, Eman A. N. Mathematical model of generalized thermoelastic infinite medium with a spherical cavity and fractional order strain. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 1, p. 30-37. doi : 10.22436/jnsa.012.01.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.01.03/

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