堤防工程的模糊随机损伤敏感性
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摘要
为揭示非确定参数和广义损伤泛函对广义损伤场及广义损伤可靠度影响机理,基于自适应模糊随机损伤力学模型,以荆南长江干堤为例进行局部裂纹尖端应变能密度分析,证实了经模糊识别后,广义损伤场分析区域较之常规损伤模型宽广,符合工程结构具有多种可能工况和材料失效范围复杂的事实.考虑核心参数的空间变异,就模糊随机损伤增益下的宏观场分布进行敏感性研究,验证了岩土结构在重力工况下采用组合秋千模型进行广义损伤分析,可反映刚柔材料接触部位吸收较多能量从而诱发显著损伤发育的客观实际.采用不同模糊分布对自适应损伤力学模型进行激励分析,表明应用混合破坏准则对复杂结构广义可靠度的精细研究,可综合反映各区域的损伤水平.研究结果表明:在广义独立标准正态空间内,模糊随机损伤模型对损伤宏观分布的演绎,展示了材料微观、细观流动破坏诱发的结构宏观能量重分布,揭示了各模糊分布对广义损伤场流动演变的控制特征.
To disclose the influential philosophy of uncertain parameters and generalized damage functional upon generalized damage field(GDF) and generalized damage reliability(GDR),based on the fuzzy-self-adaptive stochastic damage model founded in sequent research,the characteristics of local strain energy density on material crack tip were studied with introduction of Jingnan main dyke's typical numerical model.Results show that the evolution field of GDF is broader than the conventional damage field's with fuzzy identification for damage development,and this conclusion concurs with the nature of geo-structures with complicated failure zones under diverse working behaviors.Sensitivity of macroscopic field distribution produced by fuzzy-stochastic damage gaining was investigated under key material parameters' spatial variation.The result shows that the energy–absorption concentration resides in the contact zone between clay(i.e.soft surface) and concrete break-wall(i.e.rigid surface) and full damage development exits thereby.These facts on geo-structures under gravity loading-condition were discovered during GDF analyses with combined-swing-distribution.Controlling distribution models were incorporated in the activation simulation on fuzzy-stochastic damage mechanics.The key consequence shows that the comprehensive failure criteria are indispensable measures for precise study on complex-structures' GDR because it reveals the synthesized characters on the damage field distribution.The foregoing studies demonstrate that the deduction on macroscopic damage field illustrates the global energy redistribution with the fuzzy-self-adaptive stochastic damage model in an independent standard normal space;the micro-meso-flow of material particles induces the local deformation and the fuzzy redistribution;the generalized damage functional memberships control the particles' flow evolution of GDF.
To disclose the influential philosophy of uncertain parameters and generalized damage functional upon generalized damage field(GDF) and generalized damage reliability(GDR),based on the fuzzy-self-adaptive stochastic damage model founded in sequent research,the characteristics of local strain energy density on material crack tip were studied with introduction of Jingnan main dyke's typical numerical model.Results show that the evolution field of GDF is broader than the conventional damage field's with fuzzy identification for damage development,and this conclusion concurs with the nature of geo-structures with complicated failure zones under diverse working behaviors.Sensitivity of macroscopic field distribution produced by fuzzy-stochastic damage gaining was investigated under key material parameters' spatial variation.The result shows that the energy–absorption concentration resides in the contact zone between clay(i.e.soft surface) and concrete break-wall(i.e.rigid surface) and full damage development exits thereby.These facts on geo-structures under gravity loading-condition were discovered during GDF analyses with combined-swing-distribution.Controlling distribution models were incorporated in the activation simulation on fuzzy-stochastic damage mechanics.The key consequence shows that the comprehensive failure criteria are indispensable measures for precise study on complex-structures' GDR because it reveals the synthesized characters on the damage field distribution.The foregoing studies demonstrate that the deduction on macroscopic damage field illustrates the global energy redistribution with the fuzzy-self-adaptive stochastic damage model in an independent standard normal space;the micro-meso-flow of material particles induces the local deformation and the fuzzy redistribution;the generalized damage functional memberships control the particles' flow evolution of GDF.
引文
[1]ZHANG W H,VALLIAPPAN S.Analysis of randomanisotropic damage mechanics problems of rock mass,Part I:probabilistic simulation[J].Rock mechanics andRock Engineering,1990,23(2):91-112.
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[5]POPESCU R,DEODATIS G,NOBAHAR A.Effectsof random heterogeneity of soil properties on bearing ca-pacity[J].Probabilistic Engineering Mechanics,2005,20:324-341.
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[7]KOWALSKY U,Z MENDORF T,DINKLER D.Random fluctuations of material behaviour in FE-damge-analysis[J].Computational Materials Science,2007,39:8-16.
[8]王亚军,张我华.荆南长江干堤模糊自适应随机损伤机理研究[J].浙江大学学报:工学版,2009,43(4):743?749,776.WANG Ya-jun,ZHANG Wo-hua.Fuzzy self-adaptingstochastic damage mechanism for Jingnan main dike ofYangtse Rive[J].Journal of Zhejiang University:Engi-neering Science,2009,43(4):743-749,776.
[9]LI S Y,LAI Y M,ZHANG S J,et al.An improvedstatistical damage constitutive model for warm frozenclay based on Mohr-Coulomb criterion[J].Cold RegionsScience and Technology,2009,57:154-159.
[10]ABDEL T K,NOOR A K.A fuzzy set analysis for adynamic thermo-elasto-viscoplastic damage response[J].Computers and Structures,1999,70:91-107.
[11]ASOK R,SEKHAR T.A nonlinear stochastic modelof fatigue crack dynamics[J].Probabilistic EngineeringMechanics,1997,12(1):33-40.
[12]MUC A,K DZIORA P.A fuzzy set analysis for afracture and fatigue damage response of composite ma-terials[J].Composite Structure,2002,54:283-287.
[13]金伟良,郑中双,李海波.地震荷载作用下海洋平台结构物动力可靠度分析[J].浙江大学学报:工学版,2002,36(3):234-238.JIN Wei-liang,ZHENG Zhong-shuang,LI Hai-bo.Analysis of dynamic reliability of offshore jacket plat-forms subjected to seismic action[J].Journal of Zhe-jiang University:Engineering Science,2002,36(3):234-238.
[14]金伟良,唐纯喜,陈进.基于SVM的结构可靠度分析响应面方法[J].计算力学学报,2007,24(6):713-718.JIN Wei-liang,TANG Chun-xi,CHEN Jin.SVM basedon response surface method for structural reliabilityanalysis[J].Chinese Journal of Computational Mechan-ics,2007,24(6):713-718.
[15]张楚汉.论岩石、混凝土离散?接触?断裂分析[J].岩石力学与工程学报,2008,27(2):217-235.ZHANG Chu-han.Discrete-contact-fracture analysis ofrock and concrete[J].Chinese Journal of Rock Mechan-ics and Engineering,2008,27(2):217-235.
[16]ZHANG Chu-han.Challenges of high dam construction tocomputational mechanics[J].Frontiers of Architecture andCivil Engineering in China,2007,1(1):12-33.
[17]董聪.现代结构系统可靠性理论及其应用[M].北京:科学出版社,2001:72-88.
[2]YANG Z J,SU X T,CHEN J F,et al.Monte Carlosimulation of complex cohesive fracture in random heter-ogeneous quasi-brittle materials[J].International Journalof Solids and Structures,2009,46:3222-3234.
[3]王亚军,张我华.龙滩碾压混凝土坝随机损伤力学分析的模糊自适应有限元研究[J].岩石力学与工程学报,2008,27(6):1251-1259.WANG Ya-jun,ZHANG Wo-hua.Research on fuzzyself-adapting finite element in stochastic damage me-chanics analysis for Longtan rolled-concrete dam[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(6):1251-1259.
[4]EMERY J M,HOCHHALTER J D,WAWRZYNEK PA,et al.DDSim:A hierarchical,probabilistic,multi-scale damage and durability simulation system-Part I:methodology and Level I[J].Engineering FractureMechanics,2009,76:1500-1530.
[5]POPESCU R,DEODATIS G,NOBAHAR A.Effectsof random heterogeneity of soil properties on bearing ca-pacity[J].Probabilistic Engineering Mechanics,2005,20:324-341.
[6]MISHNAEVSKY JR L L,SCHMAUDER S.Damag-eevolution and heterogeneity of materials:model basedon fuzzy set theory[J].Engineering Fracture Mechanics,1997,57(6):625-636.
[7]KOWALSKY U,Z MENDORF T,DINKLER D.Random fluctuations of material behaviour in FE-damge-analysis[J].Computational Materials Science,2007,39:8-16.
[8]王亚军,张我华.荆南长江干堤模糊自适应随机损伤机理研究[J].浙江大学学报:工学版,2009,43(4):743?749,776.WANG Ya-jun,ZHANG Wo-hua.Fuzzy self-adaptingstochastic damage mechanism for Jingnan main dike ofYangtse Rive[J].Journal of Zhejiang University:Engi-neering Science,2009,43(4):743-749,776.
[9]LI S Y,LAI Y M,ZHANG S J,et al.An improvedstatistical damage constitutive model for warm frozenclay based on Mohr-Coulomb criterion[J].Cold RegionsScience and Technology,2009,57:154-159.
[10]ABDEL T K,NOOR A K.A fuzzy set analysis for adynamic thermo-elasto-viscoplastic damage response[J].Computers and Structures,1999,70:91-107.
[11]ASOK R,SEKHAR T.A nonlinear stochastic modelof fatigue crack dynamics[J].Probabilistic EngineeringMechanics,1997,12(1):33-40.
[12]MUC A,K DZIORA P.A fuzzy set analysis for afracture and fatigue damage response of composite ma-terials[J].Composite Structure,2002,54:283-287.
[13]金伟良,郑中双,李海波.地震荷载作用下海洋平台结构物动力可靠度分析[J].浙江大学学报:工学版,2002,36(3):234-238.JIN Wei-liang,ZHENG Zhong-shuang,LI Hai-bo.Analysis of dynamic reliability of offshore jacket plat-forms subjected to seismic action[J].Journal of Zhe-jiang University:Engineering Science,2002,36(3):234-238.
[14]金伟良,唐纯喜,陈进.基于SVM的结构可靠度分析响应面方法[J].计算力学学报,2007,24(6):713-718.JIN Wei-liang,TANG Chun-xi,CHEN Jin.SVM basedon response surface method for structural reliabilityanalysis[J].Chinese Journal of Computational Mechan-ics,2007,24(6):713-718.
[15]张楚汉.论岩石、混凝土离散?接触?断裂分析[J].岩石力学与工程学报,2008,27(2):217-235.ZHANG Chu-han.Discrete-contact-fracture analysis ofrock and concrete[J].Chinese Journal of Rock Mechan-ics and Engineering,2008,27(2):217-235.
[16]ZHANG Chu-han.Challenges of high dam construction tocomputational mechanics[J].Frontiers of Architecture andCivil Engineering in China,2007,1(1):12-33.
[17]董聪.现代结构系统可靠性理论及其应用[M].北京:科学出版社,2001:72-88.
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