理论流变力学模型中蠕变损伤的研究方法与问题

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摘要在用理论流变力学模型研究蠕变损伤时，以往许多研究按照Lemaitre应变等效原理，根据理论流变力学模型在模型参数为常数条件下得到的蠕变方程，将其中的应力替换成有效应力，以引进损伤变量，并采用适当的损伤演化方程来描述损伤变化规律，由此得到蠕变损伤方程，这等同于将理论流变模型中的流变参数p替换为p(1－D)(D为损伤变量)，这时的流变参数是一个变量，这种做法存在着与参数非线性理论流变力学模型研究中相同的问题，即通过直接将常参数条件下的蠕变方程中的参数替换成其相应的函数而得出错误的变参数条件下的蠕变方程。本文先假定蠕变时间与损伤时间一致，给出将理论流变力学模型微分型本构方程中的应力替换成有效应力，再由此解出蠕变损伤方程的方法。在此基础上，进一步证明用叠加原理求解理论流变力学模型蠕变损伤方程的正确性，并据此给出蠕变时间和损伤时间不一致时的理论流变力学模型蠕变损伤方程求解方法。指出以往研究中的一些问题并给出更严谨的结果，可望为以后的研究提供借鉴。

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关键词 ：岩石力学, 蠕变, 损伤, 应变等效原理

Abstract：In order to take into consideration of damage in theoretical rheological models(TRM)，current approach，based on Lemaitre equivalent strain theory，is to obtain creep damage equation through the replacement of the Caucy stress with effective stress in creep equation of the TRM with constant rheological parameters，thus the time-dependent damage can be introduced. Such an approach is equivalent to the substitution of the rheological parameters p with p(1－D) in creep equations of TRM. With the parameters being time-dependent，a problem similar to that in nonlinear TRM，the failure to produce correct creep equation of nonlinear TRM via direct replacement of time-dependent rheological parameters in creep equations of linear TRM with functions，will arise. Based on the hypothesis that damage and creep are simultaneous，this paper proposed an alternative way to obtain creep damage equation：to deduct it from the revised constitutive law in which the Caucy stress is replaced by effective stress. Further，another way to obtain creep damage equation，that is through principle of superposition，is given，and its correctness is proven. On the basis of the second way，the method to obtain creep damage equation when damage is not in concurrence with creep is proposed. In addition，problems in some current studies are discussed and more valid answers are suggested.

Key words： rock mechanics creep damage equivalent strain theory

引用本文:

金磊1，2，夏才初 1，2. 理论流变力学模型中蠕变损伤的研究方法与问题[J]. 岩石力学与工程学报, 2012, 31(S1): 3006-3014.
JIN Lei1，2，XIA Caichu1，2. STUDY METHODS FOR CREEP DAMAGE IN THEORETICAL RHEOLOGICAL MODELS AND SOME PROBLEMS. , 2012, 31(S1): 3006-3014.

链接本文:

https://rockmech.whrsm.ac.cn/CN/Y2012/V31/IS1/3006

[1] 李兆霞. 损伤力学及其应用[M]. 北京：科学出版社，2002：7–17.(LI Zhaoxia. Damage mechanics and its application[M]. Beijing：Science Press，2002：7–17.(in Chinese))

[2] 夏才初，金磊，郭锐. 参数非线性理论流变力学模型研究进展及其存在的问题[J]. 岩石力学与工程学报，2011，30(3)：454–463.(XIA Caichu，JIN Lei，GUO Rui. Nonlinear rheological model for rock：a review and some problems[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(3)：454–463.(in Chinese))

[3] 杨春和，陈锋，曾义金. 盐岩蠕变损伤关系研究[J]. 岩石力学与工程学报，2002，21(11)：1 602–1 604.(YANG Chunhe，CHEN Feng，ZENG Yijin. Investigation on creep damage constitutive theory of salt rock[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(11)：1 602–1 604.(in Chinese))

[4] 王贵君. 一种盐岩流变损伤模型[J]. 岩土力学，2003，24(增)：81–84. (WANG Guijun. A constitutive creep-damage model for saline rocks[J]. Rock and Soil Mechanics，2003，24(Supp.)：81–84.( in Chinese))

[5] 陈锋，杨春和，白世伟. 盐岩储气库蠕变损伤分析[J]. 岩土力学，2006，27(6)：945–949.(CHEN Feng，YANG Chunhe，BAI Shiwei. Investigation on creep damage of natural gas storage in salt rock layer[J]. Rock and Soil Mechanics，2006，27(6)：945–949.(in Chinese))

[6] 伍国军，陈卫忠，曹俊杰，等. 工程岩体非线性蠕变损伤力学模型及其应用[J]. 岩石力学与工程学报，2010，29(6)：1 184–1 191.(WU Guojun，CHEN Weizhong，CAO Junjie，et al. Nonlinear creep damage model of engineered rock and its application[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(6)：1 184–1 191.(in Chinese))

[7] 沈为. 损伤力学[M]. 武汉：华中理工大学出版社，1995：9–10. (SHEN Wei. Damage mechanics[M]. Wuhan：Huazhong University of Science and Technology Press，1995：9–10.(in Chinese))

[8] 王祥秋，杨林德，高文华. 软弱围岩蠕变损伤机理及合理支护时间的反演分析[J]. 岩石力学与工程学报，2004，23(5)：793–796. (WANG Xiangqiu，YANG Linde，GAO Wenhua. Creep damage mechanism and back analysis of optimum support time for soften rockmass[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(5)：793–796.(in Chinese))

[9] 宋飞，赵法锁，李亚兰. 一种岩石损伤流变模型及数值分析[J]. 水利水电科技进展，2008，28(1)：12–15.(SONG Fei，ZHAO Fasuo，LI Yalan. Damage rheological constitutive model for numerical simulation to gypsum breccias[J]. Advances in Science and Technology of Water Resources， 2008，28(1)：12–15.(in Chinese))

[10] 李栋伟，汪仁和，胡璞. 冻黏土蠕变损伤耦合本构关系研究[J]. 冰川冻土，2007，29(3)：446–449.(LI Dongwei，WANG Renhe，HU Pu. Study of frozen soil creep damage-coupling constitutive function[J]. Journal of Glaciology and Geocryology，2007，29(3)：446–449.(in Chinese))

[11] 谢星，王东红，赵法锁. Q2黄土流变特性及其统计损伤流变模型[J]. 水文地质工程地质，2010，37(3)：63–68.(XIE Xin，WANG Donghong，ZHAO Fasuo. Study on rheological properties and statistical damage rheological model for Q2 loess[J]. Hydrogeology and Engineering Geology，2010，37(3)：63–68.(in Chinese))