Using the analytical solution of the heat diffusion equation, we calculate the components of the thermal stress tensor and analyse the process of thermal destruction of bodies consisting of crystalline ice with radii ranging from 10 m to 10 km around KIC 8462852. As a body approaches the star in a high-eccentricity orbit, compressive stresses increase on its surface, making tensile stresses increase in its interior and causing catastrophic body destruction. The processes of destruction near the surface of bodies that occur as a result of compressive stress and contribute to the appearance of coma are most severe in large bodies (10 km or more). We show that, for bodies with radii from 20 m to 10 km, internal tensile strengths exceed the limit of material strength at different distances from the star. Bodies with a size of r ≈ 1.8–2.1 km are among the first to experience catastrophic destruction, being at a distance of 80–100 au from the star. Subsequent cascading destruction of fragments can lead to the formation of dust. Closest to the star, being at a distance of 7.44 au, both the biggest and smallest bodies with a radius of more than 10 km and less than 20 m, respectively, begin to break apart. The infalling thermally destroyed body (ITDB) mechanism is capable of explaining the main details of both the short-term and long-term photometric behaviour of KIC 8462852.

中文翻译：

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坠落的热破坏体作为 KIC 8462852 现象的可能解释

利用热扩散方程的解析解，我们计算了热应力张量的分量，并分析了 KIC 8462852 周围半径为 10 m 至 10 km 的结晶冰组成的物体的热破坏过程。当物体接近在高离心率轨道上的恒星，其表面的压应力增加，使其内部的拉应力增加，并导致灾难性的天体破坏。由于压缩应力而发生并导致昏迷出现的物体表面附近的破坏过程在大型物体（10 km 或更大）中最为严重。我们表明，对于半径从 20 m 到 10 km 的天体，内部抗拉强度超过了距恒星不同距离的材料强度极限。尺寸为 r ≈ 1.8–2 的物体。1公里是最先遭受灾难性破坏的地方，距离恒星80-100 au。碎片的后续级联破坏会导致灰尘的形成。在距离恒星最近的 7.44 au 处，半径超过 10 km 和小于 20 m 的最大和最小天体分别开始分裂。下落热破坏体 (ITDB) 机制能够解释 KIC 8462852 的短期和长期光度行为的主要细节。半径大于 10 公里和小于 20 米的最大和最小天体分别开始分裂。下落热破坏体 (ITDB) 机制能够解释 KIC 8462852 的短期和长期光度行为的主要细节。半径大于 10 公里和小于 20 米的最大和最小天体分别开始分裂。下落热破坏体 (ITDB) 机制能够解释 KIC 8462852 的短期和长期光度行为的主要细节。