References
- M. Goodman and S. Cowin, “A continuum theory for granular materials,” Arch. Rational Mech. Anal., vol. 44, no. 4, pp. 249–266, 1972. DOI: https://doi.org/10.1007/BF00284326.
- J. W. Nunziato and S. C. Cowin, “A nonlinear theory of elastic materials with voids,” Arch. Rational Mech. Anal., vol. 72, no. 2, pp. 175–201, 1979. DOI: https://doi.org/10.1007/BF00249363.
- D. Ieşan and R. Quintanilla, “A theory of porous thermoviscoelastic mixtures,” J. Therm. Stress., vol. 30, no. 7, pp. 693–714, 2007. DOI: https://doi.org/10.1080/01495730701212880.
- P. S. Casas and R. Quintanilla, “Exponential decay in one-dimensional porous-thermo-elasticity,” Mechanics Res. Commun., vol. 32, no. 6, pp. 652–658, 2005. DOI: https://doi.org/10.1016/j.mechrescom.2005.02.015.
- P. S. Casas and R. Quintanilla, “Exponential stability in thermoelasticity with microtemperatures,” Int. J. Eng. Sci., vol. 43, no. 1–2, pp. 33–47, 2005. DOI: https://doi.org/10.1016/j.ijengsci.2004.09.004.
- A. Magaña and R. Quintanilla, “On the time decay of solutions in one-dimensional theories of porous materials,” Int. J. Solids Struct., vol. 43, no. 11–12, pp. 3414–3427, 2006. DOI: https://doi.org/10.1016/j.ijsolstr.2005.06.077.
- P. X. Pamplona, J. E. M. Rivera and R. Quintanilla, “Stabilization in elastic solids with voids,” J. Math. Anal. Appl., vol. 350, no. 1, pp. 37–49, 2009. DOI: https://doi.org/10.1016/j.jmaa.2008.09.026.
- A. Magaña and R. Quintanilla, “On the time decay of solutions in porous-elasticity with quasi-static microvoids,” J. Math. Anal. Appl., vol. 331, no. 1, pp. 617–630, 2007. DOI: https://doi.org/10.1016/j.jmaa.2006.08.086.
- J. Muñoz-Rivera and R. Quintanilla, “On the time polynomial decay in elastic solids with voids,” J. Math. Anal. Appl., vol. 338, no. 2, pp. 1296–1309, 2008. DOI: https://doi.org/10.1016/j.jmaa.2007.06.005.
- S. A. Messaoudi and A. Fareh, “Exponential decay for linear damped porous thermoelastic systems with second sound,” Discrete Contin. Dyn. Syst. Ser. B, vol. 20, no. 2, pp. 599–612, 2015. DOI: https://doi.org/10.3934/dcdsb.2015.20.599.
- Z.-J. Han and G.-Q. Xu, “Exponential decay in non-uniform porous-thermo-elasticity model of lord-shulman type,” Discrete Contin. Dynam. Syst. B, vol. 17, no. 1, pp. 57–77, 2012. DOI: https://doi.org/10.3934/dcdsb.2012.17.57.
- T. A. Apalara, “General decay of solutions in one-dimensional porous-elastic system with memory,” J. Math. Anal. Appl., vol. 469, no. 2, pp. 457–471, 2019. DOI: https://doi.org/10.1016/j.jmaa.2017.08.007.
- B. Feng and M. Yin, “Decay of solutions for a one-dimensional porous elasticity system with memory: The case of non-equal wave speeds,” Math. Mech. Solid., vol. 24, no. 8, pp. 2361–2373, 2019. DOI: https://doi.org/10.1177/1081286518757299.
- M. Santos, A. Campelo and M. Oliveira, “On porous-elastic systems with Fourier law,” Applicable Anal., vol. 98, no. 6, pp. 1181–1197, 2019. DOI: https://doi.org/10.1080/00036811.2017.1419197.
- M. Santos, A. Campelo and D. A. Júnior, “On the decay rates of porous elastic systems,” J Elast, vol. 127, no. 1, pp. 79–101, 2017. DOI: https://doi.org/10.1007/s10659-016-9597-y.
- A. C. Eringen, “A continuum theory of swelling porous elastic soils,” Int. J. Eng. Sci., vol. 32, no. 8, pp. 1337–1349, 1994. DOI: https://doi.org/10.1016/0020-7225(94)90042-6.
- A. Bedford and D. S. Drumheller, “Theories of immiscible and structured mixtures,” Int. J. Eng. Sci., vol. 21, no. 8, pp. 863–960, 1983. DOI: https://doi.org/10.1016/0020-7225(83)90071-X.
- T. Karalis, “On the elastic deformation of non-saturated swelling soils,” Acta Mech., vol. 84, no. 1-4, pp. 19–45, 1990. DOI: https://doi.org/10.1007/BF01176086.
- R.L. Handy, “A stress path model for collapsible loess,” in Genesis and Properties of Collapsible Soils, pp. 33–47. Springer Science+Business Media Dordrecht, 1995.
- R. Leonard, Expansive Soils, Shallow Foundation. Regent Centre. University of Kansas, Kansas, USA, 1989.
- L. D. Jones and I. Jefferson, “Expansive soils,” in ICE manual of geotechnical engineering. Volume 1, geotechnical engineering principles, problematic soils and site investigation, J. Burland, Ed., London, UK: ICE Publishing, 2012, pp. 413–441.
- J. E. Bowles, “Foundation Analysis and Design,” 3rd ed., New York: McGraw-Hill Book Company, 1982.
- V. Hung, Hidden Disaster, University News, University of Saska Techwan. Saskatchewan, Canada, 2003,
- B. Kalantari, et al., “Engineering significant of swelling soils,” Res. J. appl. Sci. Eng. Technol., vol. 4, no. 17, pp. 2874–2878, 2012.
- D. Ieşan, “On the theory of mixtures of thermoelastic solids,” J. Therm. Stress., vol. 14, no. 4, pp. 389–408, 1991. DOI: https://doi.org/10.1080/01495739108927075.
- R. Quintanilla, “Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation,” J. Comput. Appl. Math., vol. 145, no. 2, pp. 525–533, 2002. DOI: https://doi.org/10.1016/S0377-0427(02)00442-9.
- J.-M. Wang and B.-Z. Guo, “On the stability of swelling porous elastic soils with fluid saturation by one internal damping,” IMA J. Appl. Math., vol. 71, no. 4, pp. 565–582, 2006. DOI: https://doi.org/10.1093/imamat/hxl009.
- A. Ramos, M. Freitas, D. Almeida, Jr, A. Noé and M. D. Santos, “Stability results for elastic porous media swelling with nonlinear damping,” J. Math. Phys., vol. 61, no. 10, pp. 101505, 2020. DOI: https://doi.org/10.1063/5.0014121.
- T. A. Apalara, “General stability result of swelling porous elastic soils with a viscoelastic damping,” Z. Angew. Math. Phys, vol. 71, no. 6, pp. 200, 2020. DOI: https://doi.org/10.1007/s00033-020-01427-0.