Deformation Due to Inclined Loads in Thermoporoelastic Half Space
Subject Areas : EngineeringR Kumar 1 , S Kumar 2 , M.G Gorla 3
1 - Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
2 - Department of Mathematics, Govt. Degree College Chowari (Chamba), Himachal Pradesh, India
3 - Department of Mathematics, Himachal Pradesh University, Shimla-171005, India
Keywords:
Abstract :
[1] Fillunger P., 1913, Der auftrieb in talsperren, Osterr Wochenschrift Offentl Baudienst 19:532-556.
[2] Terzaghi K.V., 1923, Die berechnug der durchlassigkeitsziffer des tones aus dem verlauf der hydromechanischen spannungserscheinungen, Sitzungsber Akad Wiss Wien, Math Naturwiss KI , Abt, IIa 132:125-138.
[3] Terzaghi K.V., 1925, Erdbaumechanik auf Bodenphysikalischer Grundlage, Leipzig-wien, Franz Deuticke.
[4] Terzaghi K.V., 1933, Auftrieb und kapillardruck an betonierten talsperren, Die Wasserwirtschaft 26: 397-399.
[5] Biot M.A., 1941, General theory of three dimensional consolidation, Journal of Applied Physics 12(2): 155-161.
[6] Biot M.A., 1956, Theory of propagation of elastic waves in fluid saturated porous solid I-low frequency range, Journal of the Acoustical Society of America 28:168-178.
[7] Biot M.A., 1956, Theory of propagation of elastic waves in fluid saturated porous solid II-higher frequency range, Journal of the Acoustical Society of America 28:179-191.
[8] Rice J.R. ,Cleary M.P.,1976, Some basic stress diffusion solution for fluid saturated elastic porous media with compressible constituents, Reviews of Geophysics and Space Physics 14:227-241.
[9] Schiffman R. L., 1971, A Thermoelastic Theory of Consolidation, in Environmental and Geophysical Heat Transfer, American Society of Mechanical Engineers, New York.
[10] Bowen R. M., 1982, Compressible porous media models by use of the theory of mixtures, International Journal of Engineering Science 20: 697-735.
[11] Noorishad J., Tsang C.F., Witherspoon P. A., 1984, Coupled thermohydraulic-mechanical phenomena in saturated fractured porous rocks: Numerical approach, Journal of Geophysical Research 89:10365-10373.
[12] McTigue D.F., 1986, Thermal response of fluid-saturated porous rock, Journal of Geophysical Research 91(B9): 9533-9542.
[13] Kurashige M., 1989, A thermoelastic theory of fluid-filled porous materials, International Journal of Solids and Structures 25:1039-1052.
[14] Abousleiman Y., Ekbote S., 2005, Solutions for the inclined borehole in a porothermoelastic transversely isotropic medium, ASME Journal Applied Mechanics 72: 102-114.
[15] Bai B., 2006, Fluctuation responses of porous media subjected to cyclic thermal loading, Computers and geotechnics 33:396-403.
[16] Bai B., Li T., 2009, Solution for cylindrical cavity in saturated thermoporoelastic medium, Acta Mechanica Solida Sinica 22(1):85-92.
[17] Jabbari M., Dehbani H., 2010, An exact solution for classic coupled thermoelasticity in axisymmetric cylinder, Journal of Solid Mechanics 2(2):129-143.
[18] Ganbin L., Kanghe X., Rongyue Z., 2010, Thermo-elastodynamic response of a spherical cavity in a saturated poroelastic medium, Applied Mathematical Modeling 34:2213-2222.
[19] Gatmiri B., Maghoul P., Duhamel D.,2010, Two-dimensional transient thermo-hydro-mechanical fundamental solutions of multiphase porous media in frequency and time domains, International Journal of Solid and Structure 47:595-610.
[20] Li X., Chen W., Wang H., 2010, General study state solutions for transversely isotropic thermoporoelastic media in three dimensions and its application, European Journal of Mechanics - A/Solids 29(3): 317-326.
[21] Jabbari M., Dehbani H., 2011, An exact solution for quasi-static poro- thermoelasticity in spherical coordinate, Iranian Journal of Mechanical Engineering 12(1): 86-108.
[22] Liu G., Ding S.,YE R., Liu X., 2011, Relaxation effect of a saturated porous media using the two dimensional generalized thermoelastic theory, Transport in Porous Media 86:283-303.
[23] Belotserkovets b. A., Prevost J. H., 2011, Thermoporoelastic response of fluid-saturated porous sphere: An analytical solution, International Journal of Engineering Science 49(12): 1415-1423.
[24] Bai B., 2013, Thermal response of saturated porous spherical body containing a cavity under several boundary conditions, Journal of Thermal Stresses 36(11): 1217-1232.
[25] Apostolakis G., Dargus G.F., 2013, Mixed variation principal for dynamic response of thermoelastic and poroelastic continua, International Journal of Solid and Structure 50(5): 642-650.
[26] Hou P.F., Zhao M., Jiann-Wen J.U., 2013, The three dimensional green’s function for transversely isotropic thermoporoelastic biomaterial, Journal of Applied Geophysics 95: 36-46.
[27] Jabbari M., Hashemitaheri M., Mojahedin A., Eslami M.R., 2014, Thermal buckling analysis of functionally graded thin circular plate made of saturated porous materials, Journal of Thermal Stresses 37:202-220.
[28] Liu M., Chain C., 2015, A micromechanical analysis of the fracture properties of saturated porous media, International Journal of Solid and Structure 63:32-38.
[29] He S.M., Liu W., Wang J., 2015, Dynamic simulation of landslide based on thermoporoelastic approach, Computers and Geosciences 75: 24-32.
[30] Nguyen H.T., Wong H., Fabbri A., Georgin J.F., Prudhomme E., 2015, Analytical study of freezing behaviour of a cavity in thermoporoelastic medium, Computers and Geotechnics 67: 33-45.
[31] Wu D., Yu L., Wang Y., Zhao B., Gao Y., 2015, A refined theory of axisymmetric thermoporoelastic circular cylinder, European Journal of Mechanics - A/Solids 53:187-195.
[32] Kumar R., Ailawalia P., 2005, Moving inclined load at boundary surface, Applied Mathematics and Mechanics 26: 476-485.
[33] Kumar R., Ailawalia P., 2005, Interaction due to inclined load at micropolar elastic half-space with voids, International Journal of Applied Mechanics and Engineering 10:109-122.
[34] Kumar R., Rani L., 2005, Deformation due inclined load in thermoelastic half-space with voids, Archives of Mechanics 57:7-24.
[35] Sharma K., 2011, Analysis of deformation due to inclined load in generalized thermodiffusive elastic medium, International Journal of Engineering, Science and Technology 3(2): 117-129.
[36] Ostsemin A.A., Utkin P.B., 2012, Stress-strain state of a inclined elliptical defect in a plate under biaxial loading, Journal of Applied Mechanics and Technical Physics 53(2): 246-257.
[37] Bogomolov A. N., 2013 , Ushakov A. N., Stress-strain state of an elastic half plane under a system of inclined piecewise-linear loads, Soil Mechanics and Foundation Engineering 50(2): 43-49.
[38] Jabbari M., Dehbani H., 2009, An exact solution for classic coupled thermoporoelasticity in cylindrical coordinate, Journal of Solid Mechanics 1(4): 343-357.
[39] Kumar R., Ailawalia P., 2005, Elastodynamics of inclined loads in micropolar cubic crystal, Mechanics and Mechanical Engineering 9(2): 57-75.