Petroleum Science > 2016(3 ) :550-560 DOI:
Fractional thermoelasticity applications for porous asphaltic materials Open Access
文章信息
作者：Generalized thermo-poroelasticity Asphaltic
material Thermal shock Fractional calculus Numerical
results
作者单位：Magdy Ezzat and Shereen Ezzat1 Department of Mathematics, Faculty of Science and Letters
in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi
Arabia
2 Faculty of Education, Alexandria University, Alexandria,
Egypt;1 Department of Mathematics, Faculty of Science and Letters
in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi
Arabia
收稿日期：
出版日期：2015-06-14 00:00:00.0
引用方式：
文章摘要
A new mathematical model of poro-thermoelasticity
has been constructed in the context of a new
consideration of heat conduction with fractional order.
One-dimensional application for a poroelastic half-space
saturated with fluid is considered. The surface of the halfspace
is assumed to be traction-free, permeable, and subjected
to heating. The Laplace transform technique is used
to solve the problem. The inversion of the Laplace transform
will be obtained numerically and the numerical values
of the temperature, stresses, strains, and displacements will
be illustrated graphically for the solid and the liquid.
英文关键词
-
Generalized thermo-poroelasticity Asphaltic
material Thermal shock Fractional calculus Numerical
results