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Impact of pre-stress, inhomogeneity and porosity on the propagation of Love wave

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This work presents a mathematical modelling of Love wave transference through a pre-stress influenced anisotropic medium with heterogeneity between a sandy medium and an initially stressed anisotropic porous medium. Variable separation method has been induced in order to derive the frequency relation. Using appropriate boundary conditions at two interfaces, the dispersion equation has been obtained in its closed form. Possible particular cases are considered, and the corresponding results are consonant with the classical cases. Numerical computations have been employed to demonstrate the role of inhomogeneity factors, initial stresses and porosity, and are depicted by means of graphs which substantiates that those parameters immensely affect the Love wave velocity. In mineral prospecting and exploring technique in earth, the method and the results of this problem may be applicable.
Czasopismo
Rocznik
Strony
855--866
Opis fizyczny
Bibliogr. 40 poz.
Twórcy
autor
  • Indian Institute of Technology (Indian School of Mines) Dhanbad India
autor
  • Indian Institute of Technology (Indian School of Mines) Dhanbad India
autor
  • Indian Institute of Technology (Indian School of Mines) Dhanbad India
Bibliografia
  • 1. Abd-Alla AM, Ahmed SM (1999) Propagation of Love waves in a non-homogeneous orthotropic elastic layer under initial stress overlying semi-infinite medium. Appl Math Comput 106(2):265–275
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  • 3. Anderson DL (1962) Love waves dispersion in heterogeneous anisotropic media. Geophysics 27:445–454
  • 4. Batchelor GK (1967) An introduction to fluid dynamics. Cambridge University Press, CambridgeG
  • 5. Biot MA (1955) Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 26:182–185
  • 6. Biot MA (1956a) Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. J Acoust Soc Am 28(2):168–178
  • 7. Biot MA (1956b) Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. J Acoust Soc Am 28(2):179–191
  • 8. Biot MA (1956c) General solution of the equation of elasticity and consolidation for a porous material. J Appl Mech 32:91–95
  • 9. Biot MA (1965) Mechanics of incremental deformations. Wiley, New York
  • 10. Chattaraj R, Samal SK (2013) Love waves in the fiber-reinforced layer over a gravitating porous half-space. Acta Geophys 61(5):1170–1183
  • 11. Chattopadhyay A, Chakraborty M, Kushwaha V (1986) On the dispersion equation of love waves in a porous layer. Acta Mech 58:125–136
  • 12. Chattopadhyay A, Gupta S, Sahu SA, Dhua S (2013) Torsional surface waves in heterogeneous anisotropic half-space under initial stress. Arch Appl Mech 83:357–366
  • 13. Deresiewicz H (1961) The effect of boundaries on wave propagation in a liquid filled porous solid: II. Love waves in a porous layer. Bull Seismol Soc Am 51:51–59
  • 14. Dey S, Chandra A (1983) Surface waves in dry sandy medium under gravity. Acta Geol Pol 31(4):395–404
  • 15. Dey S, Sarkar MG (2002) Torsional surface waves in an initially stressed anisotropic porous medium. J Eng Mech 128:184–189
  • 16. Dey S, Gupta AK, Gupta S (1998) Propagation of torsional surface waves in dry sandy medium under gravity. Math Mech Solids 3(2):229–235
  • 17. Dey S, Gupta AK, Gupta S, Prasad AM (2000) Torsional surface waves in nonhomogeneous anisotropic medium under initial stress. J Eng Mech 126:1120–1123
  • 18. Dhua S, Chattopadhyay A (2015) Torsional wave in an initially stressed layer lying between two inhomogeneous media. Meccanica 50(7):1775–1789
  • 19. Dutta S (1963) Love waves in a nonhomogeneous internal stratum lying between two semi infinite isotropic media. Geophysics 18:156–160
  • 20. Ewing WM, Jardetzky WS, Press F (1957) Elastic waves in layered media. McGraw-Hill, New York
  • 21. Gubbins D (1990) Seismology and plate tectonics. Cambridge University Press, Cambridge
  • 22. Gupta S, Pramanik A (2016) Torsional surface waves in an inhomogeneous layer over a fluid saturated porous half-space. J Mech 32(1):113–121
  • 23. Gupta S, Chattopadhyay A, Majhi DK (2010) Effect of initial stress on propagation of Love waves in an anisotropic porous layer. Solid Mech 2:50–62
  • 24. Gupta S, Majhi DK, Kundu S, Vishwakarma SK (2013) Propagation of Love waves in a non-homogeneous substratum over initially stressed heterogeneous half-space. Appl Math Mech 34:249–258
  • 25. Gupta S, Pramanik A, Ahmed M, Verma AK (2016) Love wave propagation in prestressed piezoelectric layered structure. Int J Appl Mech 8(4):1650045
  • 26. Kar BK, Pal AK, Kalyani VK (1986) Propagation of Love waves in an irregular dry sandy layer. Acta Palaeontol Pol 34:157–170
  • 27. Khurana P (2001) Love wave propagation in a pre-stressed medium. Indian J Pure Appl Math 32(8):1201–1207
  • 28. Konczak Z (1989) The propagation of love waves in a fluid saturated porous anisotropic layer. Acta Mech 79:155–168
  • 29. Li X-P (1995) Attenuation dispersion of Love waves in a two-layered half space. Wave Motion 22(4):349–370
  • 30. Love AEH (1944) A treatise on the mathematical theory of elasticity. Cambridge University Press, Cambridge
  • 31. Pal J, Ghorai AP (2015) Propagation of Love wave in sandy layer under initial stress above anisotropic porous half-space under gravity. Transp Porous Med 109(2):297–316
  • 32. Pal PC, Mandal D (2014) Generation of SH-type waves due to shearing stress discontinuity in a sandy layer overlying an isotropic and inhomogeneous elastic half-space. Acta Geophys 62(1):44–58
  • 33. Paul MK (1964) Propagation of love waves in a fluid-saturated porous layer lying between two elastic half-spaces. Bull Seismol Soc Am 54:1767–1770
  • 34. Rao YVR, Sarma KS (1977) Love wave propagation in poro-elasticity. Def Sci J 28:157–160
  • 35. Shams M (2016) Effect of initial stress on Love wave propagation at the boundary between a layer and a half-space. Wave Motion 65:92–104
  • 36. Sharma MD, Garg N (2007) Wave velocities in a pre-stressed anisotropic elastic medium. J Earth Syst 115(2):257–265
  • 37. Sharma MD, Gongna ML (1991) Propagation of Love waves in an initially stressed medium consist of a slow elastic layer lying over a liquid saturated porous half-space. J Acoust Soc Am 89:2584–2588
  • 38. Wei XC, Dong MY, Chen YY (1998) Elastic wave propagation in inhomogeneous anisotropic media. Acta Seismol Sin 11(6):655–667
  • 39. Weiskopff WH (1945) Stresses in soils under foundation. J Frankl Inst 239:445–465
  • 40. Whittaker ET, Watson GN (1990) A course in modern analysis. Cambridge University Press, Cambridge
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-88504e33-f898-4fcc-b23a-1799e880adde
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