On a certain type of finite strain viscoelastic-plastic constitutive relationships

In this work a certain type of viscoelastic-plastic constitutive relationships is analyzed. The finite element (FE) implementation is extensively discussed and the consistent tangent operator has been derived. The capability of the present model formulation to capture the large strain and rate-dependent response of polymeric materials is investigated. It is found that a viscoelastic-plastic model utilizing the stored-energy function as proposed by Jemio lo and Lopez-Pamies allows to accurately capture the material behavior for a wide spectrum of stretches and deformation rates. The material parameters of the model have been identified for three different polymeric materials. A UMAT (User MATerial) subroutine has been developed shich enables to use the considered model class within the non-commercial FE program CalculiX.

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Publication Details

Journal
International Journal of Computational Methods
Published
2026-09-24
DOI
https://doi.org/10.1142/s021987622650060x
Primary Topic
Elasticity and Material Modeling
Type
article
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article

On a certain type of finite strain viscoelastic-plastic constitutive relationships

Cyprian Suchocki
International Journal of Computational Methods
Elasticity and Material Modeling
article

On a certain type of finite strain viscoelastic-plastic constitutive relationships

Cyprian Suchocki
article en

Abstract

In this work a certain type of viscoelastic-plastic constitutive relationships is analyzed. The finite element (FE) implementation is extensively discussed and the consistent tangent operator has been derived. The capability of the present model formulation to capture the large strain and rate-dependent response of polymeric materials is investigated. It is found that a viscoelastic-plastic model utilizing the stored-energy function as proposed by Jemio lo and Lopez-Pamies allows to accurately capture the material behavior for a wide spectrum of stretches and deformation rates. The material parameters of the model have been identified for three different polymeric materials. A UMAT (User MATerial) subroutine has been developed shich enables to use the considered model class within the non-commercial FE program CalculiX.

International Journal of Computational Methods
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Elasticity and Material Modeling
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