炭黑填充天然橡胶超弹性本构方程的适用性分析

In order to analyze the applicability of the hyperelastic constitutive equations under complex stress conditions,a short and thick three point bending compression specimen of carbon black filled natural rubber(NR)(referred to as three point bending sample) was used as the research object,the finite element model consistent with the test process was established by using Abaqus finite element software, the relationship between the force and displacement of the samples with or without permanent deformation was analyzed,and the calculation accuracy of different constitutive equations was evaluated by comparing with the experimental data.The results showed that when the experimental stress-strain data of uniaxial tensile,planar tensile and equibiaxial tensile were simultaneously input,the calculation accuracy of the three point bending samples with or without the permanent deformation obtained by various constitutive equations was different.The calculation accuracy of Arruda Boyce,Marlow,first to second order Polynomial,first to third order Ogden and first to second order Reduced Polynomial equations for samples with permanent deformation was higher than that without permanent deformation,and the calculation accuracy of Van Der Waals,fourth to sixth order Ogden and third to sixth order Reduced Polynomial equations for samples with permanent deformation under large displacement was lower than that without permanent deformation.