黏弹性材料等效分数阶微观结构标准线性固体模型  

EQUIVALENT FRACTIONAL ORDER MICRO-STRUCTURE STANDARD LINEAR SOLID MODEL FOR VISCOELASTIC MATERIALS

作　　者：徐业守 徐赵东[1] 葛腾 徐超[1] Xu Yeshou;Xu Zhaodong;Ge Teng;Xu Chao(Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education,Southeast University,Nanjing 210096,China)

机构地区：[1]东南大学混凝土及预应力混凝土结构教育部重点实验室,南京210096

出　　处：《力学学报》2017年第5期1059-1069,共11页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家杰出青年科学基金(51625803);国家重点研发计划(2016YFE0119700);国家自然科学基金(11572088);江苏省杰出青年基金(BK20140025);江苏省重点研发计划(BE2015158);江苏省333高层次人才;江苏省高校优势学科建设项目(CE02-1-47);江苏省普通高校研究生科研创新计划项目(KYLX16_0247);中央高校基本科研业务费专项资金资助项目

摘　　要：从黏弹性材料微观链结构出发,以橡胶基黏弹性材料超弹性理论分子网链高斯(Gauss)统计模型和黏滞流动理论为基础,研究黏弹性材料的微观结构、填料等对黏弹性性能的影响.用温频等效原理描述温度对黏弹性材料力学性能的影响,建立了可以有效描述黏弹性材料耗能特性的等效分数阶微观结构标准线性固体模型.采用动态热机械分析仪(DMA)对高聚物黏弹性材料力学性能、耗能能力进行测试.试验表明:在低温区域,储能模量较大,随着温度的升高,储能模量下降显著;能量损耗因子在高温和低温区域数值较小,在玻璃化转变温度附近数值较高.根据测试数据对所提等效分数阶微观结构标准线性固体模型进行验证,该力学模型能够较好地描述黏弹性材料储能模量和能量损耗因子随温度的变化趋势.用9050A和ZN22黏弹性材料对模型的有效性进一步验证,结果表明:9050A和ZN22黏弹性材料具有较好的耗能能力,所提出的等效分数阶微观结构标准线性固体模型能够准确地描述微观结构和填料对黏弹性材料宏观性能的影响,能够准确地描述黏弹性材料在不同温度和频率下的动态力学性能.From the micro-molecular chain structures,based on the Gauss statistical model in hyperelasticity theoryof the rubber matrix and the viscous rheological theory of viscoelastic materials,the effects of the micro molecularstructures and fillers on the viscoelastic properties of the viscoelastic materials are studied.The temperature-frequencyequivalent theory is introduced to investigate the effect of temperature on the mechanical properties of the viscoelasticmaterials,and an equivalent fractional order micro-structure standard linear solid model of the viscoelastic materialsis established.The mechanical properties and energy dissipation capacity of the viscoelastic materials are tested bydynamic thermomechanical analyzer(DMA)device.The experimental results show that the storage modulus is large in low temperature region,and decreases significantly with increasing temperature;the loss factor is small in high and lowtemperature regions,but has peak values near the glass transition temperature.Then the validity of the model is verifiedbased on the test results,and the equivalent fractional order micro-structure standard linear solid model can effectivelydescribe the energy dissipation capacity of the viscoelastic materials.What’s more,the validity of the model is furtherverified by the combination of9050A and ZN22viscoelastic materials.The results show that the viscoelastic materialshave good energy dissipation capacity.The proposed equivalent fractional order micro-structure standard linear solidmodel can accurately describe the influence of microstructures and fillers on macro-properties of viscoelastic materials.And the dynamic mechanical properties of the viscoelastic materials at different temperatures and frequencies also can beaccurately described.

关 键 词：微观分子链结构 填料 温频等效原理 分数阶理论 力学模型 黏弹性材料 

分 类 号：TB535.1[理学—物理]