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A damage model for frost heaving pressure in circular rock tunnel under freezing-thawing cycles

机译：冻融循环下圆形岩石隧道冻胀压力破坏模型

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摘要

The failure of rock tunnel lining in cold region involves the evaluation of frost heaving pressure in surrounding rock. Although many theoretical models of frost heaving pressure have been proposed, the combination effect of reduction in rock elastic modulus and increase of rock void ratio due to freezing-thawing cycles has not been considered. For this issue, on basis of the elastic model for frost heaving pressure in the circular tunnel surrounding rock, this study establishes the relationship between the rock elastic modulus and the number of freezing-thawing cycles based on fracture mechanics and mesodamage theory. Thereafter, we propose the damage model for frost heaving pressure by considering the combination of rock elastic modulus and void ratio. It is assumed that frost heaving pressure mainly occurs when water in microcracks is frozen into ice. The calculation example shows that frost heaving pressure gradually increases and tends to be a constant with increasing the number of freezing-thawing cycles. It indicates that the proposed model is capable of calculating the variation of frost heaving pressure with the number of freezing-thawing cycles.
机译：寒冷地区岩石隧道衬砌的破坏涉及评价围岩的冻胀压力。尽管已经提出了许多冻胀压力的理论模型，但是还没有考虑到由于冻融循环而降低岩石弹性模量和增加岩石空隙率的综合效果。为此，本研究基于圆形隧道围岩的冻胀压力弹性模型，基于断裂力学和介观损伤理论，建立了岩石弹性模量与冻融循环次数的关系。然后，结合岩石弹性模量和孔隙率，提出了冻胀压力破坏模型。假定霜胀压力主要发生在微裂纹中的水冷冻成冰时。计算示例表明，随着冻融循环次数的增加，冻胀压力逐渐增加并趋于恒定。这表明所提模型能够计算出冻融压力随冻融循环次数的变化。

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