Reflection of coupled elastic waves in nonlocal rotating viscoelastic media

References

• M. A. Eltaher, M. E. Khater, and S. A. Emam, “A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams,” Appl. Math. Model, vol. 40, no. 5–6, pp. 4109–4128, 2016. DOI: 10.1016/j.apm.2015.11.026.
   Web of Science ®Google Scholar
• E. Kröner, “Elasticity theory of materials with long range cohesive forces,” Int. J Solids Struct., vol. 3, no. 5, pp. 731–742, 1967. DOI: 10.1016/0020-7683(67)90049-2.
   Google Scholar
• A. C. Eringen, “Nonlocal continuum mechanics based on distributions,” Int. J. Eng. Sci., vol. 44, no. 3–4, pp. 141–147, 2006. DOI: 10.1016/j.ijengsci.2005.11.002.
   Web of Science ®Google Scholar
• A. C. Eringen, Nonlocal Continuum Field Theories. NewYork: Springer, 2002.
   Google Scholar
• D. G. B. Edelen and N. Laws, “On the thermodynamics of systems with nonlocality,” Arch. Rational Mech. Anal., vol. 43, no. 1, pp. 24–35, 1971. DOI: 10.1007/BF00251543.
   Web of Science ®Google Scholar
• A. C. Eringen, “Theory of nonlocal thermoelasticity,” Int. J. Eng. Sci., vol. 12, no. 12, pp. 1063–1077, 1974. DOI: 10.1016/0020-7225(74)90033-0.
   Web of Science ®Google Scholar
• F. Balta and E. S. Suhubi, “Theory of nonlocal generalized thermoelasticity,” Int. J. Eng. Sci., vol. 15, pp. 577–588, 1977.
   Web of Science ®Google Scholar
• Y. J. Yu, X.-G. Tian, and X.-R. Liu, “Size-dependent generalized thermoelasticity using Eringen’s nonlocal model,” Eur. J. Mech. – A/Solids, vol. 51, pp. 96–106, 2015. DOI: 10.1016/j.euromechsol.2014.12.005.
   Web of Science ®Google Scholar
• Y. J. Yu, X.-G. Tian, and X.-R. Liu, “Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity,” Eur. J. Mech.– A/Solids, vol. 60, pp. 238–253, 2016. DOI: 10.1016/j.euromechsol.2016.08.004.
   Web of Science ®Google Scholar
• M. Bachher and N. Sarkar, “Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer,” Waves Random Complex Media, vol. 29, no. 4, pp. 595–613, 2019. DOI: 10.1080/17455030.2018.1457230.
   Web of Science ®Google Scholar
• D. Singh, G. Kaur, and S. K. Tomar, “Waves in nonlocal elastic solid with voids,” J. Elast., vol. 128, no. 1, pp. 85–114, 2017. DOI: 10.1007/s10659-016-9618-x.
   Web of Science ®Google Scholar
• N. Sarkar and S. K. Tomar, “Plane waves in nonlocal thermoelastic solid with voids,” J. Therm. Stresses, vol. 42, no. 5, pp. 580–606, 2019. DOI: 10.1080/01495739.2018.1554395.
   Web of Science ®Google Scholar
• S. Mondal, N. Sarkar, and N. Sarkar, “Waves in dual-phase-lag thermoelastic materials with voids based on Eringen’s nonlocal elasticity,” J. Therm. Stresses, vol. 42, no. 8, pp. 1035–1050, 2019. DOI: 10.1080/01495739.2019.1591249.
   Web of Science ®Google Scholar
• K. F. Graff and Y.-H. Pao, “The effects of coupled stresses on the propagation and reflection of plane waves in an elastic half space,” J. Sound Vib., vol. 6, no. 2, pp. 217–229, 1967. DOI: 10.1016/0022-460X(67)90229-5.
   Web of Science ®Google Scholar
• V. R. Parfitt and A. C. Eringen, “Reflection of plane wave from the flat boundary of a micropolar elastic half space,” J. Acoust. Soc. Am., vol. 45, no. 5, pp. 1258–1272, 1969. DOI: 10.1121/1.1911598.
   Web of Science ®Google Scholar
• Y. Huang, P. Wei, Y. Xu, et al., “Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives,” Mathe. Mech. Solids, vol. 26, no. 10, pp. 1538–1562, 2021. DOI: 10.1177/1081286521991206.
   Web of Science ®Google Scholar
• P. Zhang, P. Wei, and Y. Li, “Wave propagation through a micropolar slab sandwiched by two elastic half-spaces,” J. Vibration Acoust., vol. 138, no. 4, pp. 041008, 2016. DOI: 10.1115/1.4033198.
   Web of Science ®Google Scholar
• C. D’Apice and S. Chirita, “Plane harmonic waves in the theory of thermoviscoelastic material with voids,” J. Thermal Stresses, vol. 39, no. 2, pp. 142–155, 2016. DOI: 10.1080/01495739.2015.1123972.
   Web of Science ®Google Scholar
• Y. Li and P. Wei, “Reflection and transmission through a microstructured slab sandwiched by two half-spaces,” Eur. J. Mech. - A/Solids, vol. 57, pp. 1–17, 2016. DOI: 10.1016/j.euromechsol.2015.11.005.
   Google Scholar
• C. Wang, X. Chen, P. Wei, and Y. Li, “Reflection and transmission of elastic waves through a couple-stress elastic slab sandwiched between two half-spaces,” Acta Mech. Sin., vol. 33, no. 6, pp. 1022–1039, 2017. DOI: 10.1007/s10409-017-0712-5.
   Web of Science ®Google Scholar
• Y. Li, L. Li, P. Wei, and C. Wang, “Reflection and refraction of thermoelastic waves at an interface of two couple-stress solids based on Lord-Shulman thermoelastic theory,” Appl. Math. Modelling, vol. 55, pp. 536–550, 2018. DOI: 10.1016/j.apm.2017.10.040.
   Web of Science ®Google Scholar
• N. Sarkar, S. M. Abo-Dahad, and S. Mondal, “Reflection of magneto-thermoelastic waves at a solid half space under modified Green-Lindsay model with two temperatures,” J. Therm. Stresses, vol. 43, no. 9, pp. 1083–1099, 2020. DOI: 10.1080/01495739.2020.1768991.
   Web of Science ®Google Scholar
• N. Das, N. Sarkar, and A. Lahiri, “Reflection of plane waves from the stress-free isothermal and insulated boundaries of a nonlocal thermoelastic solid,” Appl. Math. Modelling, vol. 73, pp. 526–544, 2019. DOI: 10.1016/j.apm.2019.04.028.
   Web of Science ®Google Scholar
• N. Das, S. De, and N. Sarkar, “Reflection of temperature dependent coupled thermoelastic waves on a nonlocal elastic half space,” Math. Mech. Solids, vol. 28, no. 5, pp. 1232–1254, 2023.
   Google Scholar
• J. Adnan, H. Ali, and A. Khan, “Reflection phenomena of waves in a semiconductor nanostructure elasticity medium,” Waves Rand. Compl. Med, vol. 31, no. 6, pp. 1818–1834, 2019. DOI: 10.1080/17455030.2019.1705425.
   Web of Science ®Google Scholar
• M. Schoenberg and D. Censor, “Elastic waves in rotating media,” Quart. Appl. Math., vol. 31, no. 1, pp. 115–125, 1973. DOI: 10.1090/qam/99708.
   Web of Science ®Google Scholar
• N. S. Clark and J. S. Burdness, “Rayleigh waves on a rotating surface,” ASME J. Appl. Mech., vol. 61, pp. 724–726, 1994. DOI: 10.1115/1.2901524.
   Web of Science ®Google Scholar
• Y. H. Zhou and Q. Jiang, “Effects of Coriolis force and centrifugal force on acoustic waves propagating along the surface of a piezoelectric half-space,” Z. angew. Math. Phys., vol. 52, no. 6, pp. 950–965, 2001. DOI: 10.1007/PL00001589.
   Web of Science ®Google Scholar
• K. K. Kalkal, D. Sheoran, and S. Deswal, “Reflection of plane waves in a nonlocal micropolar thermoelastic medium under the effect of rotation,” Acta Mech., vol. 231, no. 7, pp. 2849–2866, 2020. DOI: 10.1007/s00707-020-02676-w.
   Web of Science ®Google Scholar
• H. Ali, A. Jahangir, and A. Khan, “Reflection of waves in a rotating semiconductor nanostructure medium through torsion-free boundary condition,” Indian J. Phys., vol. 94, no. 12, pp. 2051–2059, 2020. DOI: 10.1007/s12648-019-01652-y.
   Web of Science ®Google Scholar
• H. Ali, J. Adnan, and A. Khan, “Reflection of thermo-elastic wave in semiconductor nanostructures nonlocal porous medium,” J. Cent. South Univ., vol. 27, no. 11, pp. 3188–3201, 2020. DOI: 10.1007/s11771-020-4472-1.
   Web of Science ®Google Scholar
• H. Liu, G. Dai, F. Zhou, and X. Cao, “A mixture theory analysis for reflection phenomenon of homogenous plane-P1-wave at the boundary of unsaturated porothermoelastic media,” Geophys. J. Int., vol. 228, no. 2, pp. 1237–1259, 2022. DOI: 10.1093/gji/ggab379.
   Web of Science ®Google Scholar
• R. Kumar and K. Kumar, “Reflection and transmission at the boundary surface of modified couple stress thermoelastic media,” Int. J. Appl. Mech., vol. 21, no. 1, pp. 61–81, 2016. DOI: 10.1515/ijame-2016-0004.
   Google Scholar
• K. K. Kalkal, S. K. Sheokand, and S. Deswal, “Reflection and transmission between thermoelastic and initially stressed fibre-reinforced thermoelastic half-spaces under dual-phase-lag model,” Acta Mech., vol. 230, no. 1, pp. 87–104, 2019. DOI: 10.1007/s00707-018-2302-4.
   Web of Science ®Google Scholar
• P. Singh, A. K. Singh, and A. Chattopadhyay, “Reflection and transmision of thermoelastic waves at the corrugated interface of crystalline structure,” J. Therm. Stresses, vol. 44, no. 4, pp. 469–512, 2021. DOI: 10.1080/01495739.2020.1867940.
   Web of Science ®Google Scholar
• S. M. Abo-Dahab and E. E. Mahmoud, “Problem of P- and SV-waves reflection and transmission during two media under three thermoelastic theories and electromagnetic field with and without gravity,” Waves Rand. Compl. Med, vol. 31, no. 1, pp. 1–24, 2021. DOI: 10.1080/17455030.2018.1558307.
   Web of Science ®Google Scholar
• D. Sheoran, S. Kumar, and K. K. Kalkal, “Plane waves in an initially stressed rotating magneto-thermoelastic half-space with diffusion and microtemperatures,” Waves Rand. Compl. Med., pp. 1–22, 2022. DOI: 10.1080/17455030.2022.2032864.
   Web of Science ®Google Scholar
• S. M. Abo-Dahab, A. M. Abd-Alla, A. Alsharif, and H. Alotaibi, “On generalized waves reflection in a micropolar thermodiffusion elastic half-space under initial stress and electromagnetic field,” Mech. Based Des. Struct. Mach., vol. 50, no. 8, pp. 2670–2687, 2022. DOI: 10.1080/15397734.2020.1784200.
   Web of Science ®Google Scholar
• Y. Li and P. Wei, “Reflection and transmission of thermo-elastic waves without energy dissipation at the interface of two dipolar gradient elastic solids,” J. Acoust. Soc. Am., vol. 143, no. 1, pp. 550–562, 2018. DOI: 10.1121/1.5020780.
   PubMed Web of Science ®Google Scholar
• S. K. Tomar and M. L. Gogna, “Reflection and refraction of coupled transverse and micro-rotational waves at an interface between two different micropolar elastic media in welded contact,” Int. J. Engin. Sci., vol. 33, no. 4, pp. 485–496, 1995. DOI: 10.1016/0020-7225(94)00077-8.
   Web of Science ®Google Scholar
• Y. Li, W. Wang, P. Wei, and C. Wang, “Reflection and transmission of elastic waves at an interface with consideration of couple stress and thermal wave effects,” Meccanica, vol. 53, no. 11–12, pp. 2921–2938, 2018. DOI: 10.1007/s11012-018-0842-2.
   Web of Science ®Google Scholar
• Y. Li, P. Wei, and C. Wang, “Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound,” Mathe. Mech. Solids, vol. 24, no. 1, pp. 235–257, 2019. DOI: 10.1177/1081286517736999.
   Web of Science ®Google Scholar
• Y. Li, P. Wei, P. Zhang, and X. Gao, “Thermoelastic wave and thermal shock based on dipolar gradient elasticity and fractional-order generalized thermoelasticity,” Waves Random Complex Media, pp. 1–25, 2021. DOI: 10.1080/17455030.2021.1933258.
   Web of Science ®Google Scholar
• R. D. Borcherdt, Viscoelastic Waves in Layered Media. Cambridge: Cambridge University Press, 2009.
   Google Scholar