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周建雄,魏志刚,毛欢,韦雅宁,刘迎松.各向同性超弹性本构模型数值计算及验证[J].计算力学学报,2022,39(4):523~530
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各向同性超弹性本构模型数值计算及验证
Numerical calculation for isotropic hyperelasticity of constitutive model and verification
投稿时间:2020-11-23  修订日期:2021-03-26
DOI:10.7511/jslx20201123001
中文关键词:  超弹性模型  数值方法  有限元法  Fortran
英文关键词:hyperelastic model  numerical implementation  finite element method  fortran
基金项目:安徽省自然科学基金(2008085MA15)资助项目.
作者单位E-mail
周建雄 安徽工业大学 机械工程学院, 马鞍山 243032  
魏志刚 安徽工业大学 机械工程学院, 马鞍山 243032 zhigwei@163.com 
毛欢 安徽工业大学 机械工程学院, 马鞍山 243032  
韦雅宁 安徽工业大学 机械工程学院, 马鞍山 243032  
刘迎松 安徽工业大学 机械工程学院, 马鞍山 243032  
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中文摘要:
      现有多种形式的橡胶本构模型试图预测橡胶力学性质,其中部分模型已写入有限元软件中用于仿真计算,还存在较多拟合性较好的模型无法在有限元材料库中直接获得。本文详述了由不变量和主伸长率描写的各向同性超弹性本构模型的数值实现方法,并结合最新的本构模型开发了UHYPER和UMAT子程序。将UHYPER用于有限元实现对多孔橡胶板的拉伸仿真,对比仿真和试验结果,验证子程序的正确性以及评估本构模型预测复杂应变场的准确性;将UMAT用于单轴、等双轴和剪切拉伸的有限元仿真,对比仿真和本构模型理论结果,验证子程序的可靠性。结果表明,有限元仿真结果与理论结果拟合较好,子程序能够契合本构模型的力学描述,所述方法可以用于超弹性材料的数值计算。
英文摘要:
      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.
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