橡胶颗粒沥青砂非线性蠕变模型试验研究
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摘要
为了研究橡胶颗粒沥青砂非线性蠕变回复行为,基于Schapery黏弹性模型理论,并结合改进型Swchartz黏塑性模型,提出一种改进的积分型本构模型;开展一系列橡胶颗粒沥青砂压缩蠕变试验,通过最小二乘法与改进欧拉法对实验数据进行拟合,确定模型中各参数;最后,利用模型对不同应力水平下橡胶颗粒沥青砂的蠕变回复行为进行预测。研究结果表明:该蠕变本构模型不仅能准确描述橡胶颗粒沥青砂蠕变过程中复杂的非线性黏弹塑性行为,并且可用来预测不同应力水平橡胶颗粒沥青砂蠕变特性;相比于其他模型,本文模型中参数的确定简单、方便。
Based on Schapery viscoelastic model theory, and then combined with improved Swchartz viscoplastic model,an improved integral constitutive model was proposed to study the nonlinear creep recovery behavior of crumb rubber asphalt sand. A series of compressive creep tests were conducted on crumb rubber asphalt sand, and then the experimental data were fitted by the least squares and improved Euler method to determine the parameters in the model. Finally, the model was used to predict the creep recovery behavior of crumb rubber asphalt sand at different stress levels. The result shows that the creep constitutive model can not only accurately describe the complex nonlinear viscoelastic-plastic behavior of crumb rubber asphalt sand during the creep process, but also can be used to predict the creep characteristics of crumb rubber asphalt sand with different stress levels. Compared to other models, the parameter determination of the proposed model parameters is simple and convenient.
Based on Schapery viscoelastic model theory, and then combined with improved Swchartz viscoplastic model,an improved integral constitutive model was proposed to study the nonlinear creep recovery behavior of crumb rubber asphalt sand. A series of compressive creep tests were conducted on crumb rubber asphalt sand, and then the experimental data were fitted by the least squares and improved Euler method to determine the parameters in the model. Finally, the model was used to predict the creep recovery behavior of crumb rubber asphalt sand at different stress levels. The result shows that the creep constitutive model can not only accurately describe the complex nonlinear viscoelastic-plastic behavior of crumb rubber asphalt sand during the creep process, but also can be used to predict the creep characteristics of crumb rubber asphalt sand with different stress levels. Compared to other models, the parameter determination of the proposed model parameters is simple and convenient.
引文
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[7]YE Yong,YANG Xinhua,CHEN Chuanyao.Viscoelastoplastic constitutive model for creep deformation behavior of asphalt sand[J].Journal of Central South University,2008,15(S1):13-16.
[8]YE Yong,YANG Xinhua,CHEN Chuanyao.Experimental researches on viscoelastoplastic constitutive model of asphalt mastic[J].Construction and Building Materials,2009,23(10):3161-3165.
[9]LU Y,WRIGHT P J.Numerical approach of viscoelastoplastic analysis for asphalt mixtures[J].Computers and Structures,1998,69(2):139-147.
[10]杨新华,白凡,叶永,等.沥青混合料力学[M].北京:科学出版社,2016:15-42.YANG Xinhua,BAI Fan,YE Yong,et al.Mechanics of asphalt mixture[M].Beijing:Science Press,2016:39-42.
[11]SIDES A,UZAN J,PERL M.A comprehensive visco-elastoplastic characterization of sand-asphalt compressive and tensile cyclic loading[J].ASTM Journal of Testing and Evaluation,1985,13(1):49-59.
[12]BAI Fan,YANG Xinhua,ZENG Guowei.A stochastic viscoelastic-viscoplastic constitutive model and its application to crumb rubber modified asphalt mixtures[J].Materials&Design,2016,89:802-809.
[13]陈渊召,李振霞.基于复合材料的橡胶颗粒沥青混合料弹性模量预测[J].中南大学学报(自然科学版),2013,44(6):2609-2616.CHEN Yuanzhao,LI Zhenxia.Elastic modulus prediction of crumb rubber asphalt mixture based on composite material[J].Journal of Central South University(Science and Technology),2013,44(6):2609-2616.
[14]UZAN J,SIDES A,PERL M.Visco-elasto-plastic model for predicting asphaltic mixture performance[J].Transportation Research Record,1985,1043:78-89.
[15]SCHWARTZ C W,GIBSON N H,SCHAPERY R A,et al.Viscoplasticity modeling of asphalt concrete behavior[C]//15th Engineering Mechanics Division Conference.New York,United States:ASCE,2002:144-159.
[16]叶永.沥青混合料粘弹塑本构模型的实验研究[D].武汉:华中科技大学土木工程与力学学院,2009:87-89.YE Yong.Experimental researches on visco-elastoplastic Constitutive model of asphalt mixture[D].Wuhan:Huazhong University of Science and Technology.School of Civil Engineering and Mechanics,2009:87-89.
[17]JTG E20-2011,公路工程沥青及沥青混合料试验规程[S].JTG E20-2011,Standard test methods of bitumen and bituminous mixtures for highway engineering[S].
[18]BAI Fan,YANG Xinhua,ZENG Guowei.Creep and recovery behavior characterization of asphalt mixture in compression[J].Contsruction and Building Materials,2014,54:504-511.
[19]ZENG Guowei,YANG Xinhua,BAI Fan,et al.Viscoelastoplastic damage constitutive model for compressed asphalt mastic[J].Journal of Central South University,2014.21(10):4007-4013.
[20]陈静云,周长红,王哲人.沥青混合料蠕变试验数据处理与粘弹性计算[J].东南大学学报(自然科学版),2007,37(6):1091-1095.CHEN Jingyun,ZHOU Changhong,WANG Zheren.Data processing and viscoelastic computation for creep test of asphalt mixture[J].Journal of Southeast University(Natural Science Edition),2007,37(6):1091-1095.
[2]WU Qiang,WANG Chong,LANG Rui,et al.Fractional linear viscoelastic constitutive relations of anhydride-cured thermosetting rubber-like epoxy asphalt binders[J].Construction and Building Materials,2018,170:582-590.
[3]张丽娟,张肖宁,陈页开.沥青混合料变形的粘弹塑性本构模型研究[J].武汉理工大学学报(交通科学与工程版),2011,35(2):289-292.ZHANG Lijuan,ZHANG Xiaoning,CHEN Yekai.Viscoelastoplastic constitutive model of deformation for asphalt mixtures[J].Journal of Wuhan University of Technology(Transportation Science and Engineering),2011,35(2):289-292.
[4]李锐铎,乐金朝,冯师蓉,等.沥青胶砂改进分数阶导数幂函数经验蠕变本构模型[J].建筑材料学报,2015,18(2):237-242.LI Ruiduo,YUE Jinchao,FENG Shirong,et al.Improved fractional order derivative empirical power function model for describing the creep of asphalt mortar[J].Journal of Building Materials,2015,18(2):237-242.
[5]宋航.沥青混凝土力学性能试验及本构关系对比研究[D].宜昌:三峡大学水利与环境学院,2014:60-68.SONG Hang.Mechanical properties tests and constitutive relation comparative study of asphalt concrete[D].Yichang:Sanxia University.College of Hydraulic and Environment Engineering,2014:60-68.
[6]王芝银,李云鹏.岩体流变理论及其数值模拟[M].北京:科学出版社,2008:28-31.WANG Zhiyin,LI Yunpeng.Rock mass rheological theory and numerical simulation[M].Beijing:Science Press,2008:28-31.
[7]YE Yong,YANG Xinhua,CHEN Chuanyao.Viscoelastoplastic constitutive model for creep deformation behavior of asphalt sand[J].Journal of Central South University,2008,15(S1):13-16.
[8]YE Yong,YANG Xinhua,CHEN Chuanyao.Experimental researches on viscoelastoplastic constitutive model of asphalt mastic[J].Construction and Building Materials,2009,23(10):3161-3165.
[9]LU Y,WRIGHT P J.Numerical approach of viscoelastoplastic analysis for asphalt mixtures[J].Computers and Structures,1998,69(2):139-147.
[10]杨新华,白凡,叶永,等.沥青混合料力学[M].北京:科学出版社,2016:15-42.YANG Xinhua,BAI Fan,YE Yong,et al.Mechanics of asphalt mixture[M].Beijing:Science Press,2016:39-42.
[11]SIDES A,UZAN J,PERL M.A comprehensive visco-elastoplastic characterization of sand-asphalt compressive and tensile cyclic loading[J].ASTM Journal of Testing and Evaluation,1985,13(1):49-59.
[12]BAI Fan,YANG Xinhua,ZENG Guowei.A stochastic viscoelastic-viscoplastic constitutive model and its application to crumb rubber modified asphalt mixtures[J].Materials&Design,2016,89:802-809.
[13]陈渊召,李振霞.基于复合材料的橡胶颗粒沥青混合料弹性模量预测[J].中南大学学报(自然科学版),2013,44(6):2609-2616.CHEN Yuanzhao,LI Zhenxia.Elastic modulus prediction of crumb rubber asphalt mixture based on composite material[J].Journal of Central South University(Science and Technology),2013,44(6):2609-2616.
[14]UZAN J,SIDES A,PERL M.Visco-elasto-plastic model for predicting asphaltic mixture performance[J].Transportation Research Record,1985,1043:78-89.
[15]SCHWARTZ C W,GIBSON N H,SCHAPERY R A,et al.Viscoplasticity modeling of asphalt concrete behavior[C]//15th Engineering Mechanics Division Conference.New York,United States:ASCE,2002:144-159.
[16]叶永.沥青混合料粘弹塑本构模型的实验研究[D].武汉:华中科技大学土木工程与力学学院,2009:87-89.YE Yong.Experimental researches on visco-elastoplastic Constitutive model of asphalt mixture[D].Wuhan:Huazhong University of Science and Technology.School of Civil Engineering and Mechanics,2009:87-89.
[17]JTG E20-2011,公路工程沥青及沥青混合料试验规程[S].JTG E20-2011,Standard test methods of bitumen and bituminous mixtures for highway engineering[S].
[18]BAI Fan,YANG Xinhua,ZENG Guowei.Creep and recovery behavior characterization of asphalt mixture in compression[J].Contsruction and Building Materials,2014,54:504-511.
[19]ZENG Guowei,YANG Xinhua,BAI Fan,et al.Viscoelastoplastic damage constitutive model for compressed asphalt mastic[J].Journal of Central South University,2014.21(10):4007-4013.
[20]陈静云,周长红,王哲人.沥青混合料蠕变试验数据处理与粘弹性计算[J].东南大学学报(自然科学版),2007,37(6):1091-1095.CHEN Jingyun,ZHOU Changhong,WANG Zheren.Data processing and viscoelastic computation for creep test of asphalt mixture[J].Journal of Southeast University(Natural Science Edition),2007,37(6):1091-1095.