聚合物基复合材料在低应力下的蠕变模型
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- 英文论文题名：A NEW MODEL FOR STRESS RELAXATION OF PMC
- 论文作者：梁娜 ; 朱四荣 ; 陈建中
- 英文论文作者：LIANG Na ; ZHU Si-rong ; CHEN Jian-zhong ; School of Science ; Wuhan University of Technology ; Hubei University of Science and Technology
- 年：2016
- 作者机构：武汉理工大学理学院;湖北科技学院;
- 论文关键词：聚合物基复合材料 ; 蠕变函数 ; Maxwell体 ; Kelvin体 ; GFRP
- 英文论文关键词：polymer matrix composites ; relaxation modulus ; empirical function ; variable parameter ; GFRP
- 会议召开时间：2016-09-22
- 会议录名称：第二十一届全国玻璃钢/复合材料学术年会论文集（《玻璃钢/复合材料》2016增刊）
- 语种：中文
- 分类号：TQ317;TB33
- 学会代码：EUGQ
- 会议名称：第二十一届全国玻璃钢/复合材料学术年会
- 会议地点：中国黑龙江哈尔滨
- 主办单位：中国硅酸盐学会玻璃钢分会
- 学会名称：中国硅酸盐学会
- 页数：4
- 文件大小：515k
- 原文格式：O
- 会议级别：全国
摘要
利用基本元件模型通过串并联组合,建立多种蠕变黏弹性模型,有Hooke-Kelvin(H-K)模型、H-K-K模型、MaxwellKelvin(M-K)模型等,求解其本构方程及蠕变函数,理论上分析了模型的蠕变应变、蠕变应变速度、蠕变应变加速度的变化规律,探索了不同蠕变黏弹性模型的适用条件。运用最小二乘原理,建立了各模型参数的确定方法。开展了玻璃纤维增强塑料单向板在应力水平为30%的恒定荷载下的蠕变行为实验,并比较了实验数据的不同模型的拟合效果。研究表明H-K-K模型拟合曲线与实测曲线吻合较好,说明了该模型适合描述玻璃纤维增强塑料单向板在低应力下的黏弹性特征。
Based on variable parameter viscous components,single(double) variable parameter Maxwell models were established.Their relaxation functions were obtained by resolving the variable parameter constitutive relation.The relation between the relaxation function and the empirical KWW function was discussed,and a new model for stress relaxation was proposed.The parameter determination method was established by the principle of the least square.The long term stress relaxation test of GFRP composites was carried out,and the proposed model was verified through the experimental data.The research results show that the proposed model curve and experimental curve approximately coincide with each other.Therefore,the proposed model is available and reasonable.
Based on variable parameter viscous components,single(double) variable parameter Maxwell models were established.Their relaxation functions were obtained by resolving the variable parameter constitutive relation.The relation between the relaxation function and the empirical KWW function was discussed,and a new model for stress relaxation was proposed.The parameter determination method was established by the principle of the least square.The long term stress relaxation test of GFRP composites was carried out,and the proposed model was verified through the experimental data.The research results show that the proposed model curve and experimental curve approximately coincide with each other.Therefore,the proposed model is available and reasonable.
引文
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[1]罗文波,杨挺青,安群力.非线性粘弹体的时间.温度.应力等效原理及其应用[J].固体力学学报,2001,22(3):219-224.
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[3]Williams G,Watts DC.Non-symmetrical dielectric relaxation behavior arising from a simple empirical decay function.Trans Faraday Soc,1970,66:80-85.
[4]帅词俊.段吉安,王炯.关于粘弹性材料的广义Maxwell模型[J].力学学报,2006。38(4):565-569.
[5]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报。2007,26(6):1081-1106.
[6]熊良宵,杨林德,张尧.岩石的非定常Burgers模型[J].中南大学学报:自然科学版,2010,41(2):679-684.
[2]Surguladze T Z.On certain applications of fractional calculus to viscoelasticity[J].J.Math.Sci,2002,112(5):4517-4557.
[3]Schiessel H,Melzler R,Blumen A,et al.Generalized viscoelastic models;Their fractional equations with solutions[J].J.Phys.A;Math.Gen.,1995,28(23):6567-6584.
[4]Koeller R C.Applications of fractional calculus to the theory of viscoelasticity[J].Journal of Applied Mechanic,1984,51(2);299-307.
[5]于航,周储伟.纤维复合材料熟弹性动态性能的细观力学分析[J].振动工程学报,2011,9:359-362.
[6]罗文波,杨挺青.固态高聚物的应力松弛行为[J].高分子材料科学与工程,2002,18(2):97-99.
[1]罗文波,杨挺青,安群力.非线性粘弹体的时间.温度.应力等效原理及其应用[J].固体力学学报,2001,22(3):219-224.
[2]张义同.变温粘弹性蠕变型本构方程[J].固体力学学报,1995,16(2):152-156.
[3]Williams G,Watts DC.Non-symmetrical dielectric relaxation behavior arising from a simple empirical decay function.Trans Faraday Soc,1970,66:80-85.
[4]帅词俊.段吉安,王炯.关于粘弹性材料的广义Maxwell模型[J].力学学报,2006。38(4):565-569.
[5]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报。2007,26(6):1081-1106.
[6]熊良宵,杨林德,张尧.岩石的非定常Burgers模型[J].中南大学学报:自然科学版,2010,41(2):679-684.