References
- E. Cosserat and F. Cosserat, Théorie Des Corps Déformables, A. Hermann Fils: Paris, 1909.
- A. C. Eringen and E. S. Suhubi, “Nonlinear theory of simple micro-elastic solids-I, II,” Int. J. Eng. Sci., vol. 2, no. 2, pp. 189–203, 1964. DOI: https://doi.org/10.1016/0020-7225(64)90004-7.
- A. C. Eringen, “Microcontinuum Field Theories-I. Foundations and Solids, New York: Springer, 1999.
- Y. Chen, J. D. Lee and A. Eskandarian, “Micropolar theory and its applications to mesoscopic and microscopic problems,” CMES, vol. 5, no. 1, pp. 35–43, 2004.
- S. Hassanpour and G. R. Heppler, “Linear theory of micropolar elasticity: A Survey of the representative notations and experimental investigations of the micropolar elastic moduli,” Math. Mech. Solid., vol. 22, no. 2, pp. 224–242, 2017.
- S. C. Cowin and J. W. Nunziato, “Linear elastic materials with voids,” J Elasticity, vol. 13, no. 2, pp. 125–147, 1983. DOI: https://doi.org/10.1007/BF00041230.
- J. W. Nunziato and S. C. Cowin, “A non-linear theory of elastic material with voids,” Arch. Rational Mech. Anal, vol. 72, no. 2, pp. 175–201, 1979. DOI: https://doi.org/10.1007/BF00249363.
- D. Iesan, “A theory of thermoelastic materials with voids,” Acta Mech., vol. 60, no. 1–2, pp. 67–89, 1986. DOI: https://doi.org/10.1007/BF01302942.
- J. Singh and S. K. Tomar, “Plane waves in thermo-elastic material with voids,” Mech. Mat., vol. 39, no. 10, pp. 932–940, 2007. DOI: https://doi.org/10.1016/j.mechmat.2007.03.007.
- A. M. Zenkour, “Thermoelastic diffusion problem for a half-space due to a refined dual-phase-lag Green-Naghdi model,” J. Ocean Eng. Sci., vol. 5, no. 3, pp. 214–222, 2020. DOI: https://doi.org/10.1016/j.joes.2019.12.001.
- J. Bhagwan and S. K. Tomar, “Reflection and transmission of plane dilatation wave at a plane interface between an elastic solid half-space and a thermo-viscoelastic solid half-space with voids,” J Elast., vol. 121, no. 1, pp. 69–88, 2015. DOI: https://doi.org/10.1007/s10659-015-9522-9.
- D. Iesan, “Thermoelastic Materials with Voids,” In: Thermoelastic Models of Continua. Solid Mechanics and Its Applications, Dordrecht: Springer, vol. 118, 2004.
- S. D. Cicco and M. Diaco, “A theory of thermoelastic materials with voids without energy dissipation,” J. Therm. Stress, vol. 25, no. 5, pp. 493–503, 2002. DOI: https://doi.org/10.1080/01495730252890203.
- M. A. Kutbi and A. M. Zenkour, “Refined dual-phase-lag Green-Naghdi models for thermoelastic diffusion in an infinite medium,” Waves Random Complex Media, published online 17 August, 2020. DOI: https://doi.org/10.1080/17455030.2020.1807073.
- A. M. Zenkour and M. A. Kutbi, “Multi thermal relaxations for thermodiffusion problem in a thermoelastic half-space,” Int. J. Heat Mass Tran., vol. 143, pp. 118568, 2019. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2019.118568.
- A. M. Zenkour, “Thermo-diffusion of a thick circular plate via modified Green-Naghdi models,” Arch. Mech., vol. 72, no. 3, pp. 235–256, 2020.
- D. Iesan, “Some application of micropolar mechanics to earthquake problems,” Int. J. Eng. Sci., vol. 19, pp. 855–864, 1981. DOI: https://doi.org/10.1016/0020-7225(81)90119-1.
- D. Iesan, “Shock waves in micropolar elastic materials with voids,” An. St. Univ. “Al. I. Cuza” Iasi., vol. 31, pp. 177–186, 1985.
- S. K. Tomar, “Wave propagation in a micropolar elastic plate with voids,” J. Vib. Cont., vol. 11, no. 6, pp. 849–863, 2005. DOI: https://doi.org/10.1177/1077546305054788.
- M. Marin, “Some basic theorems in elastostatics of micropolar materials with voids,” J. Comput. Appl. Math., vol. 70, no. 1, pp. 115–126, 1996. DOI: https://doi.org/10.1016/0377-0427(95)00137-9.
- A. K. Mondal and D. P. Acharya, “Surface waves in a micropolar elastic solid containing voids,” Acta Geophys., vol. 54, no. 4, pp. 430–452, 2006. DOI: https://doi.org/10.2478/s11600-006-0032-9.
- R. Kumar and S. Deswal, “Some problems of wave propagation in a micropolar elastic medium with voids,” J. Vib. Cont., vol. 12, no. 8, pp. 849–879, 2006. DOI: https://doi.org/10.1177/1077546306065856.
- A. C. Eringen, Nonlocal Continuum Field Theories, New York: Springer, 2002.
- S. Gopalakrishnan and S. Narender, Wave Propagation in Nanostructures: Nonlocal Continuum Mechanics Formulations, Switzerland: Springer International Publishing, 2013.
- A. C. Eringen, “Plane wave in nonlocal micropolar elasticity,” Int. J. Eng. Sci., vol. 22, no. 8–10, pp. 1113–1121, 1984. DOI: https://doi.org/10.1016/0020-7225(84)90112-5.
- 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: https://doi.org/10.2140/jomms.2013.8.95.
- D. Singh, G. Kaur and S. K. Tomar, “Waves in nonlocal solid with voids,” J. Elast., vol. 128, no. 1, pp. 85–114, 2017. DOI: https://doi.org/10.1007/s10659-016-9618-x.
- S. S. Singh and R. Lianngenga, “Effect of micro-inertia in the propagation of waves in micropolar thermoelastic materials with voids,” Appl. Math. Model., vol. 49, pp. 487–497, 2017. DOI: https://doi.org/10.1016/j.apm.2017.05.008.
- M. Bachher and N. Sarkar, “Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer,” Waves Rand. Compl. Media, vol. 29, no. 4, pp. 595–613, 2019. DOI: https://doi.org/10.1080/17455030.2018.1457230.
- N. Das, S. De and N. Sarkar, “Reflection of plane waves in generalized thermoelasticity of type III with nonlocal effect,” Math. Meth. Appl. Sci., vol. 43, no. 3, pp. 1313–1336, 2020. DOI: https://doi.org/10.1002/mma.5947.
- S. Biswas, “Fundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids,” J. Therm. Stress, vol. 43, no. 3, pp. 284–304, 2020. DOI: https://doi.org/10.1080/01495739.2019.1699482.
- S. Kumar and S. K. Tomar, “Plane waves in nonlocal micropolar thermoelastic material with voids,” J. Therm. Stress, vol. 43, no. 11, pp. 1355–1378, 2020. DOI: https://doi.org/10.1080/01495739.2020.1787280.
- V. R. Parfitt and A. C. Eringen, “Reflection of plane waves from the flat boundary of a micropolar elastic half-space,” J. Acoust. Soc. Am., vol. 45, no. 5, pp. 1258–1272, 1969. DOI: https://doi.org/10.1121/1.1911598.
- W. M. Ewing, W. S. Jardetzky and F. Press, Elastic Waves in Layered Media, New York: McGraw-Hill, 1957.
- J. D. Achenbach, Wave Propagation in Elastic Solid, New York: North-Holland, 1976.
- A. Kiris and E. Inan, “On the identification of microstretch elastic moduli of materials by using vibration data of plates,” Int. J. Eng. Sci., vol. 46, no. 6, pp. 585–597, 2008. DOI: https://doi.org/10.1016/j.ijengsci.2008.01.001.
- R. D. Borchardt, Viscoelastic Waves in Layered Media, Cambridge: Cambridge University Press, 2009.
- M. A. Ainslie and P. W. Burns, “Energy conserving reflection and transmission coefficients for a solid-solid boundary,” J. Acoust. Soc. Am., vol. 98, no. 5, pp. 2836–2840, 1995. DOI: https://doi.org/10.1121/1.413249.
- D. Singh and S. K. Tomar, “Longitudinal waves at a micropolar fluid/solid interface,” Int. J. Solids Struct., vol. 45, no. 1, pp. 225–244, 2008. DOI: https://doi.org/10.1016/j.ijsolstr.2007.07.015.