黏弹性材料等效分数阶微观结构标准线性固体模型

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.

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

From the micro-molecular chain structures, based on the Gauss statistical model in hyperelasticity theory of the rubber matrix and the viscous rheological theory of viscoelastic materials, the effects of the micro molecular structures and fillers on the viscoelastic properties of the viscoelastic materials are studied. The temperature-frequency equivalent theory is introduced to investigate the effect of temperature on the mechanical properties of the viscoelastic materials, and an equivalent fractional order micro-structure standard linear solid model of the viscoelastic materials is established. The mechanical properties and energy dissipation capacity of the viscoelastic materials are tested by dynamic 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 low temperature regions, but has peak values near the glass transition temperature. Then the validity of the model is verified based on the test results, and the equivalent fractional order micro-structure standard linear solid model can effectively describe the energy dissipation capacity of the viscoelastic materials. What's more, the validity of the model is further verified by the combination of 9050A and ZN22 viscoelastic materials. The results show that the viscoelastic materials have good energy dissipation capacity. The proposed equivalent fractional order micro-structure standard linear solid model 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 be accurately described.