基于Exp-ln模型与广义粘弹性理论的橡胶本构模型及其应用研究

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摘要提出了一种描述橡胶材料不同应变率下力学响应的粘超弹本构模型。首先，利用Instron实验机和SHTB实验装置，开展橡胶材料单轴拉伸实验；其次，结合Exp-ln超弹性本构模型和广义粘弹性方法，建立了橡胶材料粘超弹本构模型；再次，推导本构模型三维增量格式，编写了用户子程序(VUMAT)，验证了本构模型的一维和三维有效性；最后，建立橡胶底座冲击附加载荷计算数值模型，并将冲击附加载荷实验与数值仿真进行对比验证。结果表明：单轴拉伸实验与数值解吻合较好，冲击附加载荷实验值与仿真值误差约为7%，验证了粘超弹本构模型的正确性。

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	仲健林
	任杰
	马大为

关键词 ：橡胶材料；热粘超弹性；拉伸实验；材料子程序(VUMAT), 橡胶底座

Abstract：A visco-hyperelastic constitutive model is proposed to describe the mechanical response of the rubber material under strain rate. Firstly, the uniaxial tensile test for the rubber material is conducted by the Instron testing machine and the SHTB testing machine. Secondly, combine with the Exp-ln hyperelastic constitutive model and generalized viscoelastic method, the visco-hyperelastic constitutive model is built. Thirdly, the three dimensional incremental format of the visco-hyperelastic constitutive model is deducted, the user subroutine (VUMAT) is written, the one dimensional and three dimensional effectiveness are verified. Finally, the impact additional load calculation model of the rubber base is obtained, the impact additional load test is compared and verified to the numerical simulation. The results show that: the numerical results match well with the uniaxial tensile test, the error of the impact additional load between the test and the simulation is approximately 7%, the correctness of the visco-hyperelastic constitutive model verified.

Key words： rubber material visco-hyperelastic constitutive model tensile test VUMAT；rubber base

收稿日期: 2015-01-16 出版日期: 2015-10-15

引用本文:

仲健林，任杰，马大为. 基于Exp-ln模型与广义粘弹性理论的橡胶本构模型及其应用研究[J]. 振动与冲击, 2015, 34(19): 150-156.
ZHONG Jian-lin, REN Jie, MA Da-wei. The constitutive model and application research for rubber material based on Exp-ln model and general viscoelastic theory#br#. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(19): 150-156.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I19/150

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