Interaction due to various sources in saturated porous media with incompressible fluid

被引:5
作者
Kumar, Rajneesh [1 ]
Abbas, Ibrahim A. [2 ,3 ,4 ]
机构
[1] Kurukshetra Univ, Dept Math, Kurukshetra 132119, Haryana, India
[2] Univ Jeddah, Fac Sci & Arts Khulais, Dept Math, Jeddah, Saudi Arabia
[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21413, Saudi Arabia
[4] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt
关键词
axi-symmetry; incompressible porous medium; pore pressure; Laplace transform; Hankel transform; concentrated source and source over circular region; DOMAIN GREENS-FUNCTIONS; FINITE-ELEMENT-METHOD; ELASTIC HALF-SPACE; THERMAL SOURCE; THERMOELASTIC INTERACTIONS; UNSATURATED SOILS; DEFORMATION; TEMPERATURES; CAVITY; WAVES;
D O I
10.1007/s11771-016-0373-8
中图分类号
TF [冶金工业];
学科分类号
0806 ;
摘要
The disturbance due to mechanical and thermal sources in saturated porous media with incompressible fluid for two-dimensional axi-symmetric problem is investigated. The Laplace and Hankel transforms techniques are used to investigate the problem. The concentrated source and source over circular region have been taken to show the utility of the approach. The transformed components of displacement, stress and pore pressure are obtained. Numerical inversion techniques are used to obtain the resulting quantities in the physical domain and the effect of porosity is shown on the resulting quantities. All the field quantities are found to be sensitive towards the porosity parameters. It is observed that porosity parameters have both increasing and decreasing effect on the numerical values of the physical quantities. Also the values of the physical quantities are affected by the different boundaries. A special case of interest is also deduced.
引用
收藏
页码:1232 / 1242
页数:11
相关论文
共 31 条
[1]  
ABBAS I A, J CENTRAL S IN PRESS
[2]   Natural frequencies of a poroelastic hollow cylinder [J].
Abbas, Ibrahim .
ACTA MECHANICA, 2006, 186 (1-4) :229-237
[3]   Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties [J].
Abbas, Ibrahim A. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (12) :2036-2056
[4]   Response of thermal source in transversely isotropic thermoelastic materials without energy dissipation and with two temperatures [J].
Abbas, Ibrahim A. ;
Kumar, Rajneesh ;
Reen, Lajvinder Singh .
CANADIAN JOURNAL OF PHYSICS, 2014, 92 (11) :1305-1311
[5]   Dual-Phase-Lag Model on Thermoelastic Interactions in a Semi-Infinite Medium Subjected to a Ramp-Type Heating [J].
Abbas, Ibrahim A. ;
Zenkour, Ashraf M. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (03) :642-645
[6]   Deformation Due to Thermal Source in Micropolar Generalized Thermoelastic Half-Space by Finite Element Method [J].
Abbas, Ibrahim A. ;
Kunnar, Rajneesh .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (01) :185-190
[7]   The influence of the finite initial strains on the axisymmetric wave dispersion in a circular cylinder embedded in a compressible elastic medium [J].
Akbarov, S. D. ;
Guliev, M. S. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2010, 52 (01) :89-95
[8]   Irreversible consolidation problem of a saturated porothermoelastic spherical body with a spherical cavity [J].
Bai, Bing ;
Li, Tao .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) :1973-1982
[9]  
Bai B, 2009, ACTA MECH SOLIDA SIN, V22, P85