硅橡胶压缩力学性能及率相关本构模型

Compressive Mechanical Properties and Constitutive Model of Rubber Material

  • 摘要: 研究了典型超弹性材料硅橡胶压缩力学性能及率相关本构模型. 采用Instron万能材料试验机和分离式Hopkinson压杆(SHPB)试验装置对硅橡胶进行了准静态和动态压缩测试,基于测试结果分析了硅橡胶材料在0.001、0.01、0.1、1750、2300和3000 s−1应变率下的力学行为. 测试结果表明,硅橡胶在静态载荷下有显著的超弹性特性,动态载荷下表现出明显的应变率效应,弹性模量与应变率比值对数之间存在非线性关系;据此,建立了率相关本构方程来描述硅橡胶在静、动态压缩载荷下的力学行为,与现有模型相比,所建立的本构方程参数仅有5个,在试验应变范围内应力最大误差保持在15%以内,与试验结果有良好一致性.

     

    Abstract: The compressive properties and constitutive model of silicon rubber were studied. Quasi-static and dynamic compression tests were carried out using an Instron-8872 universal machine and a modified Hopkinson pressure bar experiment device. The mechanical behaviors of silicon rubber materials at six different strain rates (0.001、0.01、0.1、1750、2300、3000 s−1) were analyzed. The results show that silicon rubber has significant hyperelastic properties under static load and exhibits remarkable strain rate effects under dynamic load. There is a nonlinear relationship between elastic modulus and logarithm of strain rate ratio. Based on this, a constitutive model with a strain rate term was established to describe the mechanical properties of silicon rubber under static and dynamic compressive loads. Compared with existing models, the established five-parameter constitutive equation has the advantage of simple form. The maximum error within the strain range is kept within 15%, which is in good agreement with the experiment results.

     

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