Influence of boundary conditions on the reflection and transmission of qP-wave at an interface between two nonlocal transversely isotropic elastic half-spaces

References

• A. C. Eringen and D. Edelen, “On nonlocal elasticity,” Int. J. Engng. Sci, vol. 10, no. 3, pp. 233–248, 1972. DOI: 10.1016/0020-7225(72)90039-0.
   Web of Science ®Google Scholar
• A. C. Eringen, “On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves,” J. Appl. Phys, vol. 54, no. 9, pp. 4703–4710, 1983. DOI: 10.1063/1.332803.
   Web of Science ®Google Scholar
• A. Chakraborty, “Wave propagation in anisotropic media with non-local elasticity,” International Journal of Solids and Structures, vol. 44, no. 17, pp. 5723–5741, 2007. DOI: 10.1016/j.ijsolstr.2007.01.024.
   Web of Science ®Google Scholar
• A. Khurana and S. K. Tomar, “Reflection of plane longitudinal waves from the stress-free boundary of a nonlocal, micropolar solid half-space,” J. Mech. Mater. Struct, vol. 8, no. 1, pp. 95–107, 2013. DOI: 10.2140/jomms.2013.8.95.
   Web of Science ®Google Scholar
• Z. Hashin, “The spherical inclusion with imperfect interface,” J. Appl. Mech, vol. 58, no. 2, pp. 444–449, 1991. DOI: 10.1115/1.2897205.
   Web of Science ®Google Scholar
• A. I. Lavrentyev and S. I. Rokhlin, “Ultrasonic spectroscopy of imperfect contact interfaces between a layer and two solids,” J Acoust Soc Am, vol. 103, no. 2, pp. 657–664, 1998. DOI: 10.1121/1.423235.
   Web of Science ®Google Scholar
• N. Kumari, “Reflection, transmission of longitudinal wave at micropolar viscoelastic solid/fluid saturated incompressible porous solid interface,” J. Solid Mech., vol. 6, no. 3, pp. 240–254, 2014.
   Google Scholar
• W. Huang and S. I. Rokhlin, “Interface waves along an anisotropic imperfect interface between anisotropic solids,” J Nondestruct. Eval., vol. 11, no. 3-4, pp. 185–198, 1992. DOI: 10.1007/BF00566409.
   Google Scholar
• S. I. Rokhlin and Y. J. Wang, “Analysis of boundary conditions for elastic wave interaction with an interface between two solids,” J. Acoust. Soc. Am., vol. 89, no. 2, pp. 503–515, 1991. DOI: 10.1121/1.400374.
   Web of Science ®Google Scholar
• Y. Pang and J. X. Liu, “Reflection and transmission of plane waves at an imperfectly bonded interface between piezoelectric and piezomagnetic media,” European J. Mech. A/Solid., vol. 30, no. 5, pp. 731–740, 2011. DOI: 10.1016/j.euromechsol.2011.03.008.
   Web of Science ®Google Scholar
• Y. Huang and X. F. Li, “Shear waves guided by the imperfect interface of two magnetoelectric materials,” Ultrasonics, vol. 50, no. 8, pp. 750–757, 2010. DOI: 10.1016/j.ultras.2010.03.001.
   PubMed Web of Science ®Google Scholar
• S. Goyal, S. Sahu and S. Mondal, “Influence of imperfect bonding on the reflection and transmission of QP-wave at the interface of two functionally graded piezoelectric materials,” Wave Motion, vol. 92, pp. 102431, 2020. DOI: 10.1016/j.wavemoti.2019.102431.
   Web of Science ®Google Scholar
• A. Khurana and S. K. Tomar, “Waves at interface of dissimilar nonlocal micropolar elastic half-spaces,” Mech. Advan. Mater. Struct., 2018. DOI: 10.1080/15376494.2018.1430261.
   Web of Science ®Google Scholar
• R. Kumar, N. Sharma and P. Ram, “Interfacial imperfection on reflection and transmission of plane waves in anisotropic micropolar media,” Theor. Appl. Fracture Mech., vol. 49, no. 3, pp. 305–312, 2008. DOI: 10.1016/j.tafmec.2008.02.007.
   Web of Science ®Google Scholar
• A. H. Nayfeh, 1995, Wave Propagation in Layered Anisotropic Media, North-Holland: Amsterdam.
   Google Scholar
• M. S. Barak and V. Kaliraman, “Reflection and transmission of elastic waves from an imperfect boundary between micropolar elastic solid half space and fluid saturated porous solid half space,” Mech. Advan. Mater. Struct., vol. 26, no. 14, pp. 1226–1233, 2019. DOI: 10.1080/15376494.2018.1432795.
   Web of Science ®Google Scholar
• R. Chebakov, J. Kaplunov and G. A. Rogerson, “Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects,” Proc. Math. Phys. Eng. Sci., vol. 472, no. 2186, pp. 20150800, 2016. DOI: 10.1098/rspa.2015.0800.
   PubMed Web of Science ®Google Scholar
• G. Mikhasev, E. Avdeichik and D. Prikazchikov, “Free vibrations of nonlocally elastic rods,” Math. Mech. Solid., vol. 24, no. 5, pp. 1279–1293, 2019. DOI: 10.1177/1081286518785942.
   Web of Science ®Google Scholar
• D. X. Tung, “Surface waves in nonlocal transversely isotropic liquidsaturated porous solid,” Arch. Appl. Mech., vol. 91, no. 6, pp. 2881–2892, 2021. DOI: 10.1007/s00419-021-01940-2.
   Web of Science ®Google Scholar
• D. X. Tung, “The reflection and transmission of waves at an imperfect interface between two nonlocal transversely isotropic liquid-saturated porous halfspaces,” Waves Random Complex Media, pp. 1–17, 2021. DOI: 10.1080/17455030.2021.1954265.
   Web of Science ®Google Scholar
• J. D. Achenbach, 1973, Wave Propagation in Elastic Solids. vol. 16. Series in Applied Mechanics. North Holland: Amsterdam.
   Google Scholar