This article exhibits the thermoelastic interactions because of a consistent heat source in an isotropic, homogeneous, unbounded elastic solid with regards to the modified theory of thermoelasticity without energy dissipation. A novel modification for the three-phase-lag Green–Naghdi (TPL G–N) heat conduction equation is proposed for this purpose. A new potential function is employed to help in solving the present problem together with Laplace and Hankel transforms. After inverting Laplace transforms, the small-time approximated solutions are used to obtain expository expressions for the field variables inside the medium. The trend of variations in all quantities past the elastic wavefront to the heat wavefront is investigated. The quantities suddenly bounce to a high worth just previously the situation of the heat wavefront and from that point hop again to zero qualities.

本文展示了热弹性相互作用，因为在各向同性、均质、无界弹性固体中存在一致的热源，这是关于没有能量耗散的热弹性的修正理论。为此目的，提出了对三相滞后 Green-Naghdi (TPL G-N) 热传导方程的新修改。一个新的势函数被用来与拉普拉斯和汉克尔变换一起帮助解决当前的问题。在对拉普拉斯变换进行逆变换后，使用小时间近似解来获得介质内部场变量的说明性表达式。研究了从弹性波前到热波前的所有量的变化趋势。