The problem of an infinite homogeneous isotropic medium with a rigid inclusion and exerting a uniform remote heat flux is deeply studied. The previous solutions without considering the rigid-body displacement of the rigid inclusion relative to the matrix cannot strictly satisfy the boundary condition of displacement and/or the resultant moment constraint around the rigid inclusion. In this paper, the analytical solution due to the remote heat flux is revisited when the shape of the rigid inclusion is characterized by the Laurent polynomial with finite terms, and the relative rigid-body displacement of the rigid inclusion is introduced to make the boundary condition and constraint satisfied accurately. The obtained results are compared with some reported results, and effects of rigid-body displacement and remote heat flux direction are discussed. The caused stress concentration and rigid-body displacement of the rigid inclusion would be valuable in theory and engineering application.

深入研究了具有刚性夹杂物并施加均匀远距离热通量的无限均匀各向同性介质问题。以前的解决方案没有考虑刚性夹杂物相对于基体的刚体位移，不能严格满足位移的边界条件和/或刚性夹杂物周围的合力矩约束。在本文中，当刚性夹杂物的形状用有限项的劳伦多项式表征时，重新考虑远程热通量的解析解，并引入刚性夹杂物的相对刚体位移，使边界条件并准确满足约束。将获得的结果与一些报道的结果进行比较，并讨论了刚体位移和远程热流方向的影响。