Study on the characteristic parameters conversion of viscoelastic constitutive models
Rong Zhang
Abstract
Rong Zhang
Abstract
Based on the general expressions of viscoelastic constitutive models,the constitutive relations of viscoelastic materials are transformed into stress function constitutive relations which are expressed by strain rate and strain.The transform problem of the material parameters between the different constitutive models is solved by the method of minimum sum of squared deviations,and the definite method and procedure are supplied.In the case studied,the given material parameters transform is demonstrated under different constitutive models and different stress states,and the calculation errors are analyzed.
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Based on the general expressions of viscoelastic constitutive models,the constitutive relations of viscoelastic materials are transformed into stress function constitutive relations which are expressed by strain rate and strain.The transform problem of the material parameters between the different constitutive models is solved by the method of minimum sum of squared deviations,and the definite method and procedure are supplied.In the case studied,the given material parameters transform is demonstrated under different constitutive models and different stress states,and the calculation errors are analyzed.
Key concepts: Viscoelasticity, Constitutive equation, Cauchy elastic material, Mathematics, Stress (linguistics), Function (biology), Mathematical analysis, Materials science