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.
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