Study on seismic ground motion of P-wave incident elastic foundation free field under thermal effect
Qiang Ma 1,2
More details
Hide details
School of Civil Engineering, Qinghai University, Xining, China
Qinghai Provincial Key Laboratory of Energy-saving Building Materials and Engineering Safety, Xining, China
Submission date: 2023-05-16
Final revision date: 2023-06-26
Acceptance date: 2023-06-26
Online publication date: 2023-08-30
Publication date: 2023-10-30
Corresponding author
Qiang Ma   

College of Civil Engineering, Qinghai University, China
Journal of Theoretical and Applied Mechanics 2023;61(4):673–685
This study extends the traditional problem of a seismic response of elastic foundations under isothermal conditions when considering thermal effects. Firstly, a free-field model of the elastic foundation is established under the incidence of plane P-waves. Then, utilizing the principles of wave propagation in a homogeneous and isotropic thermoelasticmedium and the principle of Helmholtz vector decomposition, the influence of thermal physical parameters such as thermal conductivity, medium temperature on seismic ground motion of the free- -field on elastic foundation is investigated, which provides a reasonable explanation for the ground motion of a site under thermal effects.
Abd-Alla A.N., Al-Dawy A.A.S., 2000, The reflection phenomena of SV-waves in a generalized thermoelastic medium, International Journal of Mathematics and Mathematical Sciences, 23, 529-546.
Abouelregal A.E., 2011, Rayleigh waves in a thermoelastic solid half space using dual-phase-lag model, International Journal of Engineering Science, 49, 781-791.
Biot M.A., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics, 27, 240-253.
Duhamel J., 1837, Some memoire sur les phenomenes phenomenon thermo-mechanique, Journal de l’Ecole Polytechnique, 15.
Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity, 2, 1-7.
Green A.E., Naghdi P.M., 1991, A re-examination of the basic postulates of thermomechanics, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 432, 1885.
Green A.E., Naghdi P.M., 1993, Thermoelasticity without energy dissipation, Journal of Elasticity, 31, 189-208.
Hetnarski R.B, Ignaczak J., 1999, Generalized thermoelasticity, Journal of Thermal Stresses, 22, 451-476.
Kumar R., Sharma J.N., 2005, Reflection of plane waves from the boundaries of a micropolar thermoelastic half-space without energy dissipation, International Journal of Applied Mechanics and Engineering, 10, 4.
Liu H.B, Dai G.L, Zhou F.X., Mu Z.L, 2021, Propagation behavior of homogeneous plane-P1-wave at the interface between a thermoelastic solid medium and an unsaturated porothermoelastic medium, The European Physical Journal Plus, 136, 1163.
Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15, 299-309.
Neumann F., 1885, Vorlesungen Uber die Theorie der Elasticitat, Meyer: Brestau.
Sharma J.N., Kumar V., Chand D., 2003, Reflection of generalized thermoelastic waves from the boundary of a half-space, Journal of Thermal Stresses, 26, 925-942.
Singh B., 2005a, Reflection of P and SV waves from free surface of an elastic solid with generalized thermodiffusion, Journal of Earth System Science, 114, 2.
Singh B., 2005b, Reflection of SV waves from the free surface of an elastic solid in generalized thermoelastic diffusion, Journal of Sound and Vibration, 291, 3-5, 764-778.
Sinha A.N., Sinha S.B., 1974, Reflection of thermoelastic waves at a solid half-space with thermal relaxation, Journal of Physics of the Earth, 22, 237-244.
Sinha S.B., Elsibai K.A., 1996, Reflection of thermoelastic waves at a solid half-space with two relaxation times, Journal of Thermal Stresses, 19, 749-762.
Sinha S.B., Elsibai K.A., 1997. Reflection and refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times, Journal of Thermal Stresses, 20, 129-146.
Tzou D.Y., 1995a, A unified field approach for heat conduction from macro- to micro-scales, Journal of Heat Transfer, 117, 1, 8-16.
Tzou D.Y., 1995b, Experimental support for the lagging behavior in heat propagation, Journal of Thermophysics and Heat Transfer, 9, 4, 686-693.
Wang X.B., Zhao F., 2022, Comparative study of seismic response of subsurface structures in single-phase soils and saturated soil, Sichuan Cement, 3, 22-23+26.
Zhao W.S., Chen W.Z., Yang D.S., Gao H., Xie P.Y., 2022, Analytical solution for seismic response of tunnels with composite linings in elastic ground subjected to Rayleigh waves, Soil Dynamics and Earthquake Engineering, 153, 107113.