考虑时效损伤的岩石分数阶蠕变模型

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中图分类号：TU45 文献标志码：A

Abstract：At present， most constitutive models are difficult to simultaneously reflect the creep behavior of soft and hard rocks，and their applicability is limited. To construct a more widely applicable rock creep model，based on the generalized Kelvin-Voigt model，the theory of fractional calculus operators and damage mechanics theory were introduced to construct a new rock fractional creep model considering time-dependent damage， which is extended to three-dimensional stress space. Model validation analysis is found that：1） Simulating uniaxial compression creep tests on marble and triaxial compression creep tests on sandstone using newly constructed one-dimensional and three-dimensional models，the average R2 （goodness of fit） was of O.994 4 and O.994 2 respectively，proving the feasibility of the newly constructed models；2）At the same time，the newly established model and the fractionalorder creep modelin related literature were used to simulate the triaxial creep data of sandstone，and the average R2 was O.994 2 and O.992 7，respectively，and the average R2 of the newly established model was 0.001 5 higher than that of the previous model; 3） The simulation of triaxial compression creep test data for four types of rock hardness， namely granite，slate，mudstone，and fully weathered granite，showed an average R2 of 0.989 9，demonstrating the applicability of the new model.

Key words：time damage; rock; fractional order;creep; susceptibility

0 引言

岩石蠕变是岩石力学中的重要研究内容，与岩体工程长期稳定性密切相关[1-4]。（剩余15426字）