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arXiv 1703.03085astro-ph.EP
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无空气物体表面上巨砾中的热诱导应力和岩石破裂的意义

Thermally induced stresses in boulders on airless body surfaces, and implications for rock breakdown

Jamie L. Molaro, Shane Byrne, Jia-Liang Le

摘要:

这项工作调查的宏观热力学行为的月球巨石模拟其响应昼夜热强迫。我们的研究结果揭示了一个双峰,时空复杂的压力反应。在日出期间,由于夜间冷却而形成的大规模温度梯度,在巨石内部产生应力。在日落期间,由于表面的冷却和收缩,巨石的外部会产生应力。这两种应力在1 m巨石中均在10 MPa的量级上,并且在较小直径时减小,这表明较大的巨石破碎得更快。小于30 cm的巨砾对热强迫的响应较弱,这表明存在一个阈值,低于该阈值时可能不会发生裂纹扩展。被风化层掩埋的任何大小的巨石都不会受到热击穿的影响。随着巨砾尺寸的增加(>1 m),应力增加到几十MPa,因为其表面的行为接近无限半空间的行为。当热波失去与巨砾内部的接触时,应力就被限制在近地表。这表明,巨石的生存时间不仅是由诱导应力的幅度,但也由它的直径相比,昼夜趋肤深度。虽然在陆地环境中,10 MPa量级的应力足以驱动裂纹扩展,但真空中的裂纹扩展速率没有得到很好的约束。我们探讨了巨石的大小,应力和裂纹扩展的方向之间的关系,并讨论了无空气的身体表面上的巨石的相对击穿率和估计寿命的影响。

英文摘要:

This work investigates the macroscopic thermomechanical behavior of lunar boulders by modeling their response to diurnal thermal forcing. Our results reveal a bimodal, spatiotemporally-complex stress response. During sunrise, stresses occur in the boulders' interiors that are associated with large-scale temperature gradients developed due to overnight cooling. During sunset, stresses occur at the boulders' exteriors due to the cooling and contraction of the surface. Both kinds of stresses are on the order of 10 MPa in 1 m boulders and decrease for smaller diameters, suggesting that larger boulders break down more quickly. Boulders <30 cm exhibit a weak response to thermal forcing, suggesting a threshold below which crack propagation may not occur. Boulders of any size buried by regolith are shielded from thermal breakdown. As boulders increase in size (>1 m), stresses increase to several 10s of MPa as the behavior of their surfaces approaches that of an infinite halfspace. As the thermal wave loses contact with the boulder interior, stresses become limited to the near-surface. This suggests that the survival time of a boulder is not only controlled by the amplitude of induced stress, but also by its diameter as compared to the diurnal skin depth. While stresses on the order of 10 MPa are enough to drive crack propagation in terrestrial environments, crack propagation rates in vacuum are not well constrained. We explore the relationship between boulder size, stress, and the direction of crack propagation, and discuss the implications for the relative breakdown rates and estimated lifetimes of boulders on airless body surfaces.

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