一种基于Yeoh函数的非线性粘超弹本构模型及其在冲击仿真中的应用

A NONLINEAR VISCO-HYPERELASTIC CONSTITUTIVE MODEL BASED ON YEOH STRAIN ENERGY FUNCTION WITH ITS APPLICATION TO IMPACT SIMULATION

以粘超弹理论为基础,将L M Yang等提出的本构模型中Rivlin函数改进为Yeoh,提出了一种基于Yeoh函数的描述橡胶材料中高应变率效应的粘超弹本构模型,该模型以左Cauchy变形张量B第一不变量I1B作为唯一变量,简化了原模型结构,并开发了相应模型的ABAQUS软件材料用户子程序(VUMAT)。通过高应变率橡胶垫片及中低应变率橡胶缓冲器的冲击试验与数值仿真对比,验证了本构模型及材料用户子程序的有效性与实用性。

According to the viscoelastic-hyperelastic theory And the visco-hyperelastic model proposed by L.M.Yang etc,a new nonlinear visco-hyperelastic constitutive model(VHCM)based on Yeoh strain energy function is proposed to describe middle-high strain rate effects of incompressible rubber.The new VHCM is composed of only one variable-the fist invariant of the left Cauchy-Green deformation tensor B,which simplifies the Yang's VHCM.A user material subroutine(ABAQUS/VUMAT)of the new VHCM is also compiled to simulate impact responses of rubber pads and rubber shock absorbers.The good agreement between experiment results and simulation ones shows that the new VHCM is effective and feasible in the cases of middle-high strain rates of rubber.