考虑纤维加筋作用的城市生活垃圾土弹塑性本构模型
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摘要
城市生活垃圾土的成分非常复杂,大量纤维材料(如塑料、纺织物、皮革等)的存在使得其力学性质与普通土体之间存在明显差异。现有土体本构模型难以对垃圾土的力学行为进行较好的模拟。对此将垃圾土看作是由纤维材料和泥状物(除纤维材料外剩余的成分)组成的复合体,荷载作用下垃圾土的力学特性取决于纤维材料和泥状物的共同作用,并提出了纤维作用参数R的概念。通过构建新的反映纤维加筋作用的塑性势函数,并依据试验结果推导了纤维作用参数R的演化方程,建立了一个能够合理描述垃圾土力学应力-应变特性的弹塑性本构模型。将垃圾土本构模型的计算结果与三轴排水试验结果和他人模型结果进行比较,发现该模型能较好地反映垃圾土应力-应变特性,尤其是应变水平较大时应力-应变曲线上翘的形状,验证了该模型的合理性和有效性。该模型的建立可为更好地服务于垃圾填埋工程提供理论依据。
The composition of municipal solid waste(MSW) is very complex. A lot of fibrous materials in MSW, such as plastic,textile, leather and so on, make the mechanical properties of MSW obviously different from common clay and sand soil. It is difficult to simulate the mechanical behavior of MSW by the existed soil constitutive models. In this paper, the MSW is regarded as a combination composed of fibrous materials and paste, where paste is the residual components except for fibrous materials. The mechanical properties of MSW under the external load depend on the combined action of fibrous materials and paste. A concept of fibrous reinforcement effect parameter R is proposed in this paper. Through the development of plastic potential function considering the fibrous reinforcement, a new elasto-plastic constitutive model is established to simulate the stress-strain characteristics of MSW reasonably. The evolutionary equation of fibrous reinforcement effect parameter R is derived based on the test results. By comparing with the results of triaxial drained test and calculations of other constitutive models, it is found that the proposed model can perfectly reflect the stress-strain responses of MSW, especially for the upward curvature of MSW stress-strain responses at a larger strains level.As a result, the reasonability and effectiveness of this MSW constitutive model have been verified. The development of MSW constitutive model presents an important theoretical basis for better servicing landfill engineering projects.
The composition of municipal solid waste(MSW) is very complex. A lot of fibrous materials in MSW, such as plastic,textile, leather and so on, make the mechanical properties of MSW obviously different from common clay and sand soil. It is difficult to simulate the mechanical behavior of MSW by the existed soil constitutive models. In this paper, the MSW is regarded as a combination composed of fibrous materials and paste, where paste is the residual components except for fibrous materials. The mechanical properties of MSW under the external load depend on the combined action of fibrous materials and paste. A concept of fibrous reinforcement effect parameter R is proposed in this paper. Through the development of plastic potential function considering the fibrous reinforcement, a new elasto-plastic constitutive model is established to simulate the stress-strain characteristics of MSW reasonably. The evolutionary equation of fibrous reinforcement effect parameter R is derived based on the test results. By comparing with the results of triaxial drained test and calculations of other constitutive models, it is found that the proposed model can perfectly reflect the stress-strain responses of MSW, especially for the upward curvature of MSW stress-strain responses at a larger strains level.As a result, the reasonability and effectiveness of this MSW constitutive model have been verified. The development of MSW constitutive model presents an important theoretical basis for better servicing landfill engineering projects.
引文
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[9]陈云敏,高登,朱斌.城市固体废弃物的复合指数应力-应变模型及其应用[J].岩土工程学报,2009,31(7):1020-1029.CHEN Yun-min,GAO De,ZHU Bin.Composite exponential stress-strain model of municipal solid waste and its application[J].Chinese Journal of Geotechnical Engineering,2009,31(7):1020-1029.
[10]李修磊,李金凤.城市生活垃圾土变形强度特性及其应力-应变模型[J].水文地质工程地质2016,43(5):70-75.LI Xiu-lei,LI Jin-feng.A study of deformation and strength properties and stress-strain model for municipal solid waste(MSW)[J].Hydrogeology and Engineering Geology,2016,43(5):70-75.
[11]BABU G L S,REDDY K R,CHOUKSEY S K.Constitutive model for municipal solid waste incorporating mechanical creep and biodegradationinduced compression[J].Waste Management,2010,30(1):11-22.
[12]BABU G L S,CHOUKSEY S K.Analytical model for stress-strain response of plastic waste mixed soil[J].Journal of Hazardous,Toxic,and Radioactive Waste,2012,16(3):1091-1100.
[13]GIBSON R E,LO K Y.A theory of consolidation for soil exhibition secondary compression[M].[S.1.]:Acta Polytechnica Scandinavica,1961:1-15.
[14]CHOUKSEY S K,BABU G L S.Constitutive model for strength characteristics of municipal solid waste[J].International Journal of Geomechanics,2013,15(2):04014040.
[15]冯世进,邓英军.考虑固体颗粒压缩变形的城市固体废弃物本构模型[J].岩石力学与工程学报,2015,34(增刊2):4360-4365.FENG Shi-jin,DENG Ying-jun.Constitutive model for municipal solid waste considering the deformation of compressible solid[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(Suppl.2):4360-4365.
[16]吕玺琳,黄茂松,王蓉.基于非线性强度准则的城市固废本构模型[J].同济大学学报(自然科学版),2015,43(9):1308-1312.LüXi-lin,HUANG Mao-song,WANG Rong.Aconstitutive model for the municipal solid waste based on nonlinear strength criterion[J].Journal of Tongji University(Natural Science),2015,43(9):1308-1312.
[17]DIXON N,JONES D R V.Engineering properties of municipal solid waste[J].Geotextiles and Geomembranes,2005,23(3):205-233.
[18]SHARIATMADARI N,MACHADO S L,NOORZAD A,et al.Municipal solid waste effective stress analysis[J].Waste Management,2009,29(12):2918-2930.
[19]ROSCOE K H,BURLAND J B.On the generalised stress-strain behaviour of wet clay[M].Cambridge:Cambridge University Press,1968:535-560.
[20]KARIMPOUR-FARD M,MACHADO S L,SHARIA-TMADARI N,et al.A laboratory study on the MSWmechanical behavior in triaxial apparatus[J].Waste Management,2011,31(8):1807-1819.
[2]MACHADO S L,CARVALHO M F,VILAR O M.Constitutive model for municipal solid waste[J].Journal of Geotechnical and Geoenvironmental Engineering,2002,128(11):940-951.
[3]MACHADO S L,VILAR O M,CARVALHO M F.Constitutive model for long term municipal solid waste mechanical behavior[J].Computers and Geotechnics,2008,35(5):775-790.
[4]柯瀚,郭城,陈云敏,等.考虑降解效应的城市固体废弃物非线性本构模型[J].岩土力学,2014,35(5):1217-1223.KE Han,GUO Cheng,CHEN Yun-min et al.A nonlinear constitutive model for municipal solid waste considering effects of degradation[J].Rock and Soil Mechanics,2014,35(5):1217-1223.
[5]孙秀丽,孔宪京,邹德高,等.城市固体废弃物应力-应变模型研究[J].岩土工程学报,2008,30(5):726-731.SUN Xiu-li,KONG Xian-jing,ZOU De-gao,et al.Stress-strain model for municipal solid waste[J].Chinese Journal of Geotechnical Engineering,2008,20(5):726-731.
[6]JONES D R V,DIXON N.Landfill lining stability and integrity:the role of waste settlement[J].Geotextiles and Geomembranes,2005,23(1):27-53.
[7]冯世进,陈云敏,高丽亚,等.城市固体废弃物的剪切强度机理及本构关系[J].岩土力学,2007,28(12):2524-2528.FENG Shi-jin,CHEN Yun-min,GAO Li-ya,et al.Shear strength mechanism and constitutive model of municipal solid waste[J].Rock and Soil Mechanics,2007,28(12):2524-2528.
[8]SINGH M K,FLEMING I R.Application of a hyperbolic model to municipal solid waste[J].Geotechnique,2011,61(7):533-547.
[9]陈云敏,高登,朱斌.城市固体废弃物的复合指数应力-应变模型及其应用[J].岩土工程学报,2009,31(7):1020-1029.CHEN Yun-min,GAO De,ZHU Bin.Composite exponential stress-strain model of municipal solid waste and its application[J].Chinese Journal of Geotechnical Engineering,2009,31(7):1020-1029.
[10]李修磊,李金凤.城市生活垃圾土变形强度特性及其应力-应变模型[J].水文地质工程地质2016,43(5):70-75.LI Xiu-lei,LI Jin-feng.A study of deformation and strength properties and stress-strain model for municipal solid waste(MSW)[J].Hydrogeology and Engineering Geology,2016,43(5):70-75.
[11]BABU G L S,REDDY K R,CHOUKSEY S K.Constitutive model for municipal solid waste incorporating mechanical creep and biodegradationinduced compression[J].Waste Management,2010,30(1):11-22.
[12]BABU G L S,CHOUKSEY S K.Analytical model for stress-strain response of plastic waste mixed soil[J].Journal of Hazardous,Toxic,and Radioactive Waste,2012,16(3):1091-1100.
[13]GIBSON R E,LO K Y.A theory of consolidation for soil exhibition secondary compression[M].[S.1.]:Acta Polytechnica Scandinavica,1961:1-15.
[14]CHOUKSEY S K,BABU G L S.Constitutive model for strength characteristics of municipal solid waste[J].International Journal of Geomechanics,2013,15(2):04014040.
[15]冯世进,邓英军.考虑固体颗粒压缩变形的城市固体废弃物本构模型[J].岩石力学与工程学报,2015,34(增刊2):4360-4365.FENG Shi-jin,DENG Ying-jun.Constitutive model for municipal solid waste considering the deformation of compressible solid[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(Suppl.2):4360-4365.
[16]吕玺琳,黄茂松,王蓉.基于非线性强度准则的城市固废本构模型[J].同济大学学报(自然科学版),2015,43(9):1308-1312.LüXi-lin,HUANG Mao-song,WANG Rong.Aconstitutive model for the municipal solid waste based on nonlinear strength criterion[J].Journal of Tongji University(Natural Science),2015,43(9):1308-1312.
[17]DIXON N,JONES D R V.Engineering properties of municipal solid waste[J].Geotextiles and Geomembranes,2005,23(3):205-233.
[18]SHARIATMADARI N,MACHADO S L,NOORZAD A,et al.Municipal solid waste effective stress analysis[J].Waste Management,2009,29(12):2918-2930.
[19]ROSCOE K H,BURLAND J B.On the generalised stress-strain behaviour of wet clay[M].Cambridge:Cambridge University Press,1968:535-560.
[20]KARIMPOUR-FARD M,MACHADO S L,SHARIA-TMADARI N,et al.A laboratory study on the MSWmechanical behavior in triaxial apparatus[J].Waste Management,2011,31(8):1807-1819.