基于AHP-DEA的聚乙烯热氧老化影响因素灰色关联分析
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摘要
选取具有代表性的八类聚乙烯树脂,进行了64天的热氧老化试验,分析了密度、结晶度、分子量对聚乙烯热氧老化弯曲性能的影响,采用基于层次分析-数据包络法(AHP-DEA)的灰色关联分析法,以灰色关联为中心模型,以AHP-DEA为辅助模型,计算热氧老化时间、老化温度、密度、结晶度、分子量分布对聚乙烯弯曲性能的关联系数,从而定量得出不同因素对聚乙烯热氧老化特性的影响。研究结果表明:在95℃热氧老化条件下,密度越低、结晶度越高、分子量分布越宽的聚乙烯弯曲强度下降越快,且主要集中于老化初期与老化后期。不同因素与聚乙烯老化弯曲性能关联度大小顺序是:结晶度>分子量分布指数>密度>老化温度>老化时间,其中结晶度对聚乙烯老化性能的影响最大,关联度达到了2.857。结晶度越高,聚乙烯缺陷也就越多,在热氧环境中越容易发生氧化,老化现象更严重。
In this work,eight representative types of polyethylene(PE)samples were selected and exposed in accelerated thermo-oxidation environment for up to 64 days. Taking analytic hierarchy procedure(AHP)based grey relational analysis method as the central model and data envelopment analysis(DEA)as the auxiliary model,we quantitatively studied the influence of different factors on PE thermo-oxidation properties by calculating the correlation coefficient between different factors(thermo-oxidation aging time,temperature,density,crystallinity,molecular weight)and PE bending strength. The results showed that lower of density,higher degree of crystallinity and wider molecular weight distribution of PE results in faster decrease of the bending strength which was mainly concentrated in the early and latter part of aging. The order of relational degree between different factors and PE bending strength was crystallinity,molecular weight distribution(MWD),density,aging temperature and aging time. In the internal factors,crystallinity had the greatest influence on PE thermo-oxidation aging property,with a correlation degree of 2.857. The higher the crystallinity,the more the flaw in PE,which facilitates the oxidation under thermo-oxidation environment and the aging phenomenon gets more severe.
In this work,eight representative types of polyethylene(PE)samples were selected and exposed in accelerated thermo-oxidation environment for up to 64 days. Taking analytic hierarchy procedure(AHP)based grey relational analysis method as the central model and data envelopment analysis(DEA)as the auxiliary model,we quantitatively studied the influence of different factors on PE thermo-oxidation properties by calculating the correlation coefficient between different factors(thermo-oxidation aging time,temperature,density,crystallinity,molecular weight)and PE bending strength. The results showed that lower of density,higher degree of crystallinity and wider molecular weight distribution of PE results in faster decrease of the bending strength which was mainly concentrated in the early and latter part of aging. The order of relational degree between different factors and PE bending strength was crystallinity,molecular weight distribution(MWD),density,aging temperature and aging time. In the internal factors,crystallinity had the greatest influence on PE thermo-oxidation aging property,with a correlation degree of 2.857. The higher the crystallinity,the more the flaw in PE,which facilitates the oxidation under thermo-oxidation environment and the aging phenomenon gets more severe.
引文
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[2]KLEMENS G,SUSANME B,GERNOT M.Characterization of the influence of specimen thickness on the aging behavior of a polypropylene based model compound[J].Polymer Degradation and Stability,2015,111:185-193.
[3]SUGIMOTO M,SHIMADA A,KUDOH H,et al.Product analysis for polyethylene degradation by radiation and thermal aging[J].Radiation Physics and Chemistry,2013,82:69-73.
[4]郭骏骏,晏华,胡志德,等.基于主成分分析的高密度聚乙烯环境适应性行为研究[J].材料工程,2015,43(1):96-103.GUO J J,YAN H,HU Z D,et al.Adaptive behavior to environment of HDPE by principal component analysis[J].Journal of Materials Engineering,2015,43(1):96-103.
[5]DING Y,MCKINNOM M B,STOLIAROY S I,et al.Determination of kinetics and thermodynamics of thermal decomposition for polymers containing reactive flame retardants:application to poly(lactic acid)blended with melamine and ammonium polyphosphate[J].Polymer Degradation and Stability,2016(129):347-362.
[6]刘如,曹金珍,彭尧.木粉组分对木塑复合材料性能的影响研究进展[J].化工进展,2014,32(8):2072-2083.LIU R,CAO J Z,PENG Y.Influences of wood components on the property of wood-plastic composites[J].Chemical Industry and Engineering Progress,2014,32(8):2072-2083.
[7]姚培培,李琛,肖生苓.紫外老化对聚苯乙烯泡沫性能的影响[J].化工学报,2014,65(11):4620-4626.YAO P P,LI C,XIAO S L.Effect of ultraviolet aging on properties and structure of polystyrene[J].CIESC Journal,2014,65(11):4620-4626.
[8]BAEK B K,LA Y H,NA W J,et al.A kinetic study on the supercritical decrosslinking reaction of silane-crosslinked polyethylene in a continuous process[J].Polymer Degradation and Stability,2016,126:75-80.
[9]陈奎,韦晓广,牛俊萍,等.基于AHP-DEA模型的电网规划方案综合评判决策[J].电力系统保护与控制,2014,42(21):40-46.CHEN K,WEI X G,NIU J P,et al.Comprehensive judgment for power system planning alternatives based on AHP-DEA[J].Power System Protection and Control,2014,42(21):40-46.
[10]王先甲,张熠.基于AHP和DEA的非均一化灰色关联方法[J].系统工程理论与实践,2011,31(7):1222-1229.WANG X J,ZHANG Y.Non-uniform grey relational method based on AHP and DEA[J].Systems Engineering Theory and Practice,2011,31(7):1222-1229.
[11]杨印生,谢鹏扬,李洪伟.基于DEA的加权灰色关联分析方法[J].吉林大学学报(工学版),2003,33(1):98-101.YANG Y S,XIE P Y,LI H W.Weighted gray correlational analysis method based on DEA[J].Journal of Jilin University(Engineering and Technology Edition),2003,33(1):98-101.
[12]陈华鑫,贺孟霜,纪鑫和,等.沥青性能与沥青组分的灰色关联分析[J].长安大学学报(自然科学版),2014,34(3):1-6.CHEN H X,HE M S,JI X H,et al.Gray correlation analysis of asphalt performance and four fractions[J].Journal of Chang’an Unicersity(Natural Science Edition),2014,34(3):1-6.
[13]张云天,杨瑞成,陈奎.基于层次分析法确定工程材料评价指标的权重[J].兰州理工大学学报,2007,33(2):17-19.ZHANG Y T,YANG R C,CHEN K.Determination of weighing values for assessment indexes of engineering materials based on analytic hierarchy procedure[J].Journal of Lanzhou University of Technology,2007,33(2):17-19.
[14]孙岩,王登霞,刘亚平,等.玻璃纤维/溴化环氧乙烯基酯加速老化与自然老化的相关性[J].复合材料学报,2014,31(4):916-924.SHUN Y,WANG D X,LIU Y P,et al.Correlation of accelerated aging and natural aging of glass fiber reinforced bromide epoxy vinyl ester composites[J].Acta Materiae Compositae Sinica,2014,31(4):916-924.