Petroleum Science >2016, Issue 3: 550-560 DOI: https://doi.org/10.1007/s12182-016-0094-5
Fractional thermoelasticity applications for porous asphalticmaterials Open Access
文章信息
作者：Magdy Ezzat and Shereen Ezzat
作者单位：
1 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
投稿时间：2015-06-14
引用方式：Ezzat, M. & Ezzat, S. Pet. Sci. (2016) 13: 550. https://doi.org/10.1007/s12182-016-0094-5
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.
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.
关键词
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Generalized thermo-poroelasticity Asphalticmaterial Thermal shock Fractional calculus Numericalresults