Reflection and transmission of three-dimensional plane wave between distinct fiber-reinforced medium under initial stress

References

• G.A. Rogerson and C. Zongxi, Infinitesimal harmonic wave propagation in a homogeneously pre-strained idealised fibre-reinforced layer, Z Angew. Math. Phys., vol. 51, no. 4, pp. 591–610, 2000. DOI: 10.1007/s000330050019.
   Web of Science ®Google Scholar
• J.D. Achenbach, Wave Propagation in Elastic Solids, Vol. 16. North-Holland Publishing Company, Amsterdam, 1973.
   Google Scholar
• A.J. Belfield, T.G. Rogers, and A.J.M. Spencer, Stress in elastic plates reinforced by fibres lying in concentric circles, J. Mech. Phys. Solids., vol. 31, no. 1, pp. 25–54, Jan. 1983. DOI: 10.1016/0022-5096(83)90018-2.
   Web of Science ®Google Scholar
• S.K. Bose and A.K. Mal, Elastic waves in a fiber-reinforced composite, J. Mech. Phys. Solids., vol. 22, no. 3, pp. 217–229, May 1974. DOI: 10.1016/0022-5096(74)90026-X.
   Web of Science ®Google Scholar
• P.D.S. Verma and O.H. Rana, Rotation of a circular cylindrical tube reinforced by fibres lying along helices, Mech. Mater., vol. 2, no. 4, pp. 353–359, Dec. 1983. DOI: 10.1016/0167-6636(83)90026-1.
   Web of Science ®Google Scholar
• P.D.S. Verma, O.H. Rana, and M. Verma, Magneto-elastic transverse surface waves in self-reinforced elastic solids, Indian J. Pure Appl. Math., vol. 19, no. 7, pp. 713–716, 1988.
   Web of Science ®Google Scholar
• A. Chattopadhyay and S. Choudhury, Propagation, reflection and transmission of magnetoelastic shear waves in a self-reinforced medium, Int. J. Eng. Sci., vol. 28, no. 6, pp. 485–495, Jan. 1990. DOI: 10.1016/0020-7225(90)90051-J.
   Web of Science ®Google Scholar
• S. Chaudhary, V. Kaushik, and S. Tomar, Plane SH-wave response from elastic slab interposed between two different self-reinforced elastic solids, Appl. Mech. Eng., vol. 11, no. 4, pp. 787–801, 2006.
   Google Scholar
• A. Chattopadhyay, S. Gupta, V.K. Sharma, and P. Kumari, Reflection and refraction of plane quasi-P waves at a corrugated interface between distinct triclinic elastic half spaces, Int. J. Solids Struct., vol. 46, no. 17, pp. 3241–3256, Aug. 2009. DOI: 10.1016/j.ijsolstr.2009.04.016.
   Web of Science ®Google Scholar
• A. Chattopadhyay, P. Kumari, and V.K. Sharma, Reflection and transmission of a three-dimensional plane qP wave through a layered fluid medium between two distinct triclinic half-spaces, Int. J. Geomech., vol. 14, no. 2, pp. 182–190, Apr. 2014. DOI: 10.1061/(ASCE)GM.1943-5622.0000311.
   Web of Science ®Google Scholar
• S. Dhua, A.K. Singh, and A. Chattopadhyay, Propagation of torsional wave in a composite layer overlying an anisotropic heterogeneous half-space with initial stress, JVC/J. Vib. Control., vol. 21, no. 10, pp. 1987–1998, Jul. 2015. DOI: 10.1177/1077546313505124.
   Web of Science ®Google Scholar
• J.D. Achenbach, Wave Propagation in Elastic Solids, New York: North-Holland Publishing Company, 1975.
   Google Scholar
• S. Crampin, A review of the effects of anisotropic layering on the propagation of seismic waves, Geophys. J. Int., vol. 49, no. 1, pp. 9–27, Apr. 1977. DOI: 10.1111/j.1365-246X.1977.tb03698.x.
   Google Scholar
• A. Chattopadhyay, Wave reflection in triclinic crystalline medium, Arch. Appl. Mech., vol. 76, no. 1-2, pp. 65–74, Oct. 2006. DOI: 10.1007/s00419-006-0005-0.
   Web of Science ®Google Scholar
• C.G. Knott, Reflection and refraction of elastic waves with seismological applications, Philos Mag., vol. 48, no. 290, pp. 64–97, 1899. DOI: 10.1080/14786449908621305.
   Google Scholar
• B. Gutenberg, Energy ratio of reflected and refracted seismic waves, Bull Seism. Soc Am., vol. 34, no. 2, pp. 85–112, 1944. DOI: 10.1785/BSSA0340020085.
   Google Scholar
• S. Crampin and D.B. Taylor, The propagation of surface waves in anisotropic media, Geophys. J. R. Astron. Soc., vol. 25, no. 1-3, pp. 71–87, 1971. DOI: 10.1111/j.1365-246X.1971.tb02331.x.
   Google Scholar
• C.M. Keith and S. Crampin, Seismic body waves in anisotropic media: Reflection and refraction at a plane interface, Geophys. J. Int., vol. 49, no. 1, pp. 181–208, Apr. 1977. DOI: 10.1111/J.1365-246X.1977.TB03708.X.
   Web of Science ®Google Scholar
• C.M. Keith and S. Crampin, Seismic body waves in anisotropic media: propagation through a layer, Geophys. J. R. Astron. Soc., vol. 49, no. 1, pp. 209–223, Apr. 1977. DOI: 10.1111/j.1365-246X.1977.tb03709.x.
   Google Scholar
• C.M. Keith and S. Crampin, Seismic body waves in anisotropic media: synthetic seismograms, Geophys. J. R. Astron. Soc., vol. 49, no. 1, pp. 225–243, 1977, DOI: 10.1111/j.1365-246X.1977.tb03710.x.
   Web of Science ®Google Scholar
• A.N. Norris, Propagation of plane waves in a pre-stressed elastic medium, J. Acoust. Soc. Amer., vol. 74, no. 5, pp. 1642–1643, 1983. DOI: 10.1121/1.390131.
   Web of Science ®Google Scholar
• A.K. Pal and A. Chattopadhyay, The reflection phenomena of plane waves at a free boundary in a prestressed elastic half-space, J. Acoust. Soc. Am., vol. 76, no. 3, pp. 924–925, 1984. DOI: 10.1121/1.391318.
   Web of Science ®Google Scholar
• A.H. Nayfeh, Wave propagation in layered anisotropic media with applications to composite, Elsevier, Amsterdam, Netherlands. 1995.
   Google Scholar
• P. Borejko, Reflection and transmission coefficients for three-dimensional plane waves in elastic media, Wave Motion., vol. 24, no. 4, pp. 371–393, 1996. DOI: 10.1016/S0165-2125(96)00026-1.
   Web of Science ®Google Scholar
• S.K. Tomar and S.L. Saini, Reflection and refraction of SH-waves at a corrugated interface between two-dimensional transversely isotropic half-spaces, J. Phys. Earth., vol. 45, no. 5, pp. 347–362, 1997. DOI: 10.4294/jpe1952.45.347.
   Google Scholar
• R.W. Ogden and D.A. Sotiropoulos, The effect of pre-stress on the propagation and reflection of plane waves in incompressible elastic solids, IMA J. Appl. Math. (Inst. Math. Appl., vol. 59, no. 1, pp. 95–121, 1997. DOI: 10.1093/imamat/59.1.95.
   Web of Science ®Google Scholar
• R.W. Ogden and D.A. Sotiropoulos, Reflection of plane waves from the boundary of a pre-stressed compressible elastic half-space, IMA J. Appl. Math. (Inst. Math. Appl., vol. 61, no. 1, pp. 61–90, 1998. DOI: 10.1093/imamat/61.1.61.
   Web of Science ®Google Scholar
• A. Chattopadhyay and G.A. Rogerson, Wave reflection in slightly compressible, finitely deformed elastic media, Arch. Appl. Mech., vol. 71, no. 4-5, pp. 307–316, May 2001. DOI: 10.1007/s004190000130.
   Web of Science ®Google Scholar
• A. Chattopadhyay, Reflection for three-dimensional plane waves in triclinic crystalline medium, Appl. Math. Mech., vol. 28, no. 10, pp. 1309–1318, Oct. 2007. DOI: 10.1007/s10483-007-1004-y.
   Google Scholar
• S.S. Singh and S.K. Tomar, Quasi-P-waves at a corrugated interface between two dissimilar monoclinic elastic half-spaces, Int. J. Solids Struct., vol. 44, no. 1, pp. 197–228, Jan. 2007. DOI: 10.1016/j.ijsolstr.2006.04.025.
   Web of Science ®Google Scholar
• M. Chatterjee, S. Dhua, S.A. Sahu, and A. Chattopadhyay, Reflection in a highly anisotropic medium for three-dimensional plane waves under initial stresses, Int. J. Eng. Sci., vol. 85, pp. 136–149, Dec. 2014. DOI: 10.1016/j.ijengsci.2014.08.010.
   Web of Science ®Google Scholar
• M. Chatterjee, S. Dhua, and A. Chattopadhyay, Quasi-P and quasi-S waves in a self-reinforced medium under initial stresses and under gravity, JVC/J. Vib. Control., vol. 22, no. 19, pp. 3965–3985, Nov. 2016. DOI: 10.1177/1077546314568694.
   Web of Science ®Google Scholar
• S. Dhua, M. Chatterjee, and A. Chattopadhyay, Reflection of three-dimensional plane waves in a self-reinforced medium under initial stresses, J. Eng. Mech., vol. 142, no. 4, pp. 04016005, Apr. 2016. DOI: 10.1061/(ASCE)EM.1943-7889.0001027.
   Web of Science ®Google Scholar
• M.A. Biot, The influence of initial stress on elastic waves, J. Appl. Phys., vol. 11, no. 8, pp. 522–530, Apr. 1940. DOI: 10.1063/1.1712807.
   Google Scholar
• M.A. Biot, Surface instability in finite anisotropic elasticity under initial stress, Proc. R. Soc., vol. 273, pp. 329–339, 1963.
   Google Scholar
• M. Marin, S. Vlase, and M. Paun, Considerations on double porosity structure for micropolar bodies, AIP Adv., vol. 5, no. 3, pp. 37113, Mar. 2015. DOI: 10.1063/1.4914912.
   Web of Science ®Google Scholar
• A.A. Khan, S.R. Bukhari, M. Marin, and R. Ellahi, Effects of chemical reaction on third-grade MHD fluid flow under the influence of heat and mass transfer with variable reactive index, Heat Trans. Res., vol. 50, no. 11, pp. 1061–1080, 2019. DOI: 10.1615/HeatTransRes.2018028397.
   Web of Science ®Google Scholar
• M.A. Blot, Mechanics of Incremental Deformations, New York: John Wiley and Sons Inc., 1965.
   Google Scholar
• A.N. Norris and B.K. Sinha, The speed of a wave along a fluid/solid interface in the presence of anisotropy and prestress, J. Acoust. Soc. Am., vol. 98, no. 2, pp. 1147–1154, Aug. 1995. DOI: 10.1121/1.413613.
   Web of Science ®Google Scholar
• D.A. Prikazchikov, and G.A. Rogerson, Some comments on the dynamic properties of anisotropic and strongly anisotropic pre-stressed elastic solids, Int. J. Eng. Sci., vol. 41, no. 2, pp. 149–171, Jan. 2003. DOI: 10.1016/S0020-7225(02)00158-1.
   Web of Science ®Google Scholar
• J. Su, Z.B. Kuang, and H. Liu, Love wave in ZnO/SiO2/Si structure with initial stresses, J. Sound Vib., vol. 286, no. 4-5, pp. 981–999, Sep. 2005. DOI: 10.1016/j.jsv.2004.10.040.
   Web of Science ®Google Scholar
• A.E.N.N. Abd-Alla, and F.A. Alsheikh, Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses, Arch. Appl. Mech., vol. 79, no. 9, pp. 843–857, Sep. 2009. DOI: 10.1007/s00419-008-0257-y.
   Web of Science ®Google Scholar
• A.E.N.N. Abd-Alla, and F.A. Alsheikh, The effect of the initial stresses on the reflection and transmission of plane quasi-vertical transverse waves in piezoelectric materials, World Acad. Sci. Eng. Technol., vol. 38, pp. 660–668, Feb. 2009. DOI: 10.5281/zenodo.1062324.
   Google Scholar
• M. Shams, M. Destrade, and R.W. Ogden, Initial stresses in elastic solids: Constitutive laws and acoustoelasticity, Wave Motion., vol. 48, no. 7, pp. 552–567, Nov. 2011. DOI: 10.1016/j.wavemoti.2011.04.004.
   Web of Science ®Google Scholar
• M. Destrade and R.W. Ogden, On stress-dependent elastic moduli and wave speeds, IMA J. Appl. Math. (Inst. Math. Its Appl., vol. 78, no. 5, pp. 965–997, Oct. 2013. DOI: 10.1093/imamat/hxs003.
   Web of Science ®Google Scholar
• A. Chattopadhya, S. Bose, and M. Chakraborty, Reflection of elastic waves under initial stress at a free surface: P and SV motion, J. Acoust. Soc. Am., vol. 72, no. 1, pp. 255–263, Jun. 1982. DOI: 10.1121/1.387987.
   Web of Science ®Google Scholar
• A. Chattopadhyay, S. Gupta, S.A. Sahu, and S. Dhua, Torsional surface waves in heterogeneous anisotropic half-space under initial stress, Arch. Appl. Mech., vol. 83, no. 3, pp. 357–366, Mar. 2013. DOI: 10.1007/s00419-012-0683-8.
   Web of Science ®Google Scholar
• Z.H. Qian, F. Jin, T. Lu, K. Kishimoto, and S. Hirose, Effect of initial stress on Love waves in a piezoelectric structure carrying a functionally graded material layer, Ultrasonics, vol. 50, no. 1, pp. 84–90, Jan. 2010. DOI: 10.1016/j.ultras.2009.08.011.
   PubMed Web of Science ®Google Scholar
• S. Dhua and A. Chattopadhyay, Torsional wave in an initially stressed layer lying between two inhomogeneous media, Meccanica, vol. 50, no. 7, pp. 1775–1789, Jul. 2015. DOI: 10.1007/s11012-015-0119-y.
   Web of Science ®Google Scholar
• A.J.M. Spencer, Boundary layers in highly anisotropic plane elasticity, Int. J. Solids Struct., vol. 10, no. 10, pp. 1103–1123, Oct. 1974. DOI: 10.1016/0020-7683(74)90061-4.
   Google Scholar
• A. Chattopadhyay, P. Kumari, and V.K. Sharma, Reflection and refraction at the interface between distinct generally anisotropic half spaces for three-dimensional plane quasi-P waves, JVC/J. Vib. Control., vol. 21, no. 3, pp. 493–508, Feb. 2015. DOI: 10.1177/1077546313488615.
   Web of Science ®Google Scholar
• E.V. Nolde, L.A. Prikazchikova, and G.A. Rogerson, Dispersion of small amplitude waves in a pre-stressed, compressible elastic plate, J. Elast., vol. 75, no. 1, pp. 1–29, Apr. 2004. DOI: 10.1023/B:ELAS.0000039920.67766.d3.
   Web of Science ®Google Scholar
• A. Chattopadhyay, Wave reflection and refraction in triclinic crystalline media, Arch. Appl. Mech., vol. 73, no. 8, pp. 568–579, Mar. 2004. DOI: 10.1007/s00419-003-0308-3.
   Web of Science ®Google Scholar
• X. Guo and P. Wei, Effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces, Int. J. Solids Struct., vol. 51, no. 21-22, pp. 3735–3751, Oct. 2014. no DOI: 10.1016/j.ijsolstr.2014.07.008.
   Web of Science ®Google Scholar
• G.A. Hool and W.S. Kinne, Reinforced Concrete and Masonry Structure, New York: McGraw-Hill, 1924.
   Google Scholar
• M.F. Markham, Measurement of the elastic constants of fibre composites by ultrasonics, Composites., vol. 1, no. 3, pp. 145–149, Mar. 1970. DOI: 10.1016/0010-4361(70)90477-5.
   Google Scholar