Numerical calculation for isotropic hyperelasticity of constitutive model and verification
Received:November 23, 2020  Revised:March 26, 2021
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DOI:10.7511/jslx20201123001
KeyWord:hyperelastic model  numerical implementation  finite element method  fortran
              
AuthorInstitution
周建雄 安徽工业大学 机械工程学院, 马鞍山
魏志刚 安徽工业大学 机械工程学院, 马鞍山
毛欢 安徽工业大学 机械工程学院, 马鞍山
韦雅宁 安徽工业大学 机械工程学院, 马鞍山
刘迎松 安徽工业大学 机械工程学院, 马鞍山
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Abstract:
      Various forms of constitutive models of rubber tried to predict the mechanical properties,some of which have been used in the Finite Element Analysis software for simulation design,but some constitutive models with good fitting ability are not available directly from the library of Finite Element Analysis software.A numerical implementation for isotropic hyperelasticity of constitutive model described by invariant and principal stretches was proposed,the UHYPER and UMAT subroutines are developed based on the latest constitutive model.Simulated the tension of a rubber plate containing holes in a Finite Element Analysis software by the UHYPER subroutine,compared the numerical results and experimental data,which verified the correctness of the subroutine and the accuracy of predicted complex strain by the constitutive model;UMAT subroutines were applied to the finite element simulation of uniaxial,equibiaxial and planar tension.The reliability of the subroutines was verified by comparing the simulation results with the theoretical results of the constitutive model.The comparison shows that the finite element simulation results fit the theoretical results very well,and the subroutines can fit the mechanical description of the constitutive model.The proposed method can be used for the numerical implementation of any hyperelastic material.