富含瓦斯煤岩损伤破坏的多尺度耦合理论

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1、富含瓦斯煤岩损伤破坏的多尺度耦合理论张天军,许鸿杰,任树鑫(西安科技大学理学院，陕西西安)摘要：为了研究富含瓦斯煤岩损伤破坏的坏灾变性以及温度压力等因数对其的影响，建立了煤岩微单元强度分布模型以及微单元受力分布模型，并采用细观统计的方法建立了煤岩的多尺度耦合理论，给出了微观损伤造成宏观破坏的概率函数以及跨尺度的敏感性函数。在多孔介质塑性理论和有效应力原理的基础上，研究了温度压力等因数对富含瓦斯煤岩宏观破坏概率以及跨尺度敏感性的影响。结果表明：煤岩的损伤分数和名义应力越大，破坏集团之间的距离越近，宏观破坏概率就

2、越大；在损伤分数较小时，煤岩的跨尺度敏感性随损伤分数增加而增大；在损伤分数较大时，煤岩的跨尺度敏感性随损伤分数增加而减小；随着温度的增大、压力的减小，富含瓦斯煤岩的宏观破坏概率和跨尺度破坏敏感性减小；煤岩的空隙率越大、密度越小，温度、压强对宏观破坏概率以及跨尺度破坏敏感性的影响越大。关键词：多尺度；煤岩；破坏概率；敏感性中图分类号：O34文献标识码：ANon-uniformsolidmaterialdamagetheoryofmultiscalecouplingZHANGTian-jun,XUHong-jie

3、,　　RENShu-Xin（CollegeofSciences,Xi'anUniversityofScienceandTechnology;Xi'an,China）AbstractInordertostudytheprocessandthedisasterofthenon-uniformsolidmaterialdamageanddestruction,theimpactofmicroscopicdamagetothemacro-failureprobabilityandthesensitivityofcro

4、ss-scalearestudiedbythetheoryformulti-scalecoupling.ThesoftwareofANSYSwasadoptedfornumericalsimulationofthemodel,beforethemodelofmicro-units’three-dimensionalintensitydistributionwasbuiltforthenon-uniformsolidmaterial.Accordingtonumericalanalysisresultandba

5、sedontheaveragefieldmodelandthegroupsharingthemodel,Theneighborunitweightingsharemodelwhichiscloseractualstresshasestablished.Intensitydistributedruleofsolidmaterialisstudiedbytheviewingcarefullystatisticsforconnectionmicroscopicdamageandmacroscopicdestruct

6、ion,thusthemicrodamagetocreatethemacroscopicdestructiontheprobabilityfunctionandthecrosscriterionsensitivefunctionwasestablished.Thecalculationshowthat:themacroscopicdestructionprobabilityisbiggerwhilethematerialdamagescoreandthenominalstressarebigger,andth

7、edistancebetweendestroygroupstobenearer;thesensitivefunctionissmallerassameasmoremicrounitnumberinthesystemandtheinfluenceofmicros’numberinsystem'stothecrosscriterionsensitiveissmallerifthedamagescoreissmaller;Cross-scalesensitivityincreasedwithincreasingin

8、juryscoreswhileInjuryscoresintherangeofsmaller,orcross-sensitivityminishwithwithincreasinginjuryscoreswhileinjuryscoresintheframeworkofalarger.KeywordMulti-scale;Intensitydistribution;Macro-failureprob