Modeling Elastomer Compression: Exploring Ten Constitutive Equations

This paper presents the results of research aimed at assessing the effectiveness of ten selected constitutive equations for hyperelastic bodies in numerical modeling of the first compression load cycle of a polyurethane elastomer with a hardness of 90 Sh A depending on the methodology for determinin...

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Main Authors: Stanisław Kut, Grażyna Ryzińska
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/16/11/4121
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author Stanisław Kut
Grażyna Ryzińska
author_facet Stanisław Kut
Grażyna Ryzińska
author_sort Stanisław Kut
collection DOAJ
description This paper presents the results of research aimed at assessing the effectiveness of ten selected constitutive equations for hyperelastic bodies in numerical modeling of the first compression load cycle of a polyurethane elastomer with a hardness of 90 Sh A depending on the methodology for determining the material constants in the constitutive equations. An analysis was carried out for four variants for determining the constants in the constitutive equations. In three variants, the material constants were determined on the basis of a single material test, i.e., the most popular and available in engineering practice, the uniaxial tensile test (variant I), the biaxial tensile test (variant II) and the tensile test in a plane strain (variant III). In variant IV, the constants in the constitutive equations were determined on the basis of all three above material tests. The accuracy of the obtained results was verified experimentally. It has been shown that, in the case of variant I, the modeling results depend to the greatest extent on the type of constitutive equation used. Therefore, in this case it is very important to choose the right equation. Taking into account all the investigated constitutive equations, the second variant for determining the material constants turned out to be the most advantageous.
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spelling doaj.art-1027dc5f52384a6d9a7d870a84a151322023-11-18T08:10:34ZengMDPI AGMaterials1996-19442023-05-011611412110.3390/ma16114121Modeling Elastomer Compression: Exploring Ten Constitutive EquationsStanisław Kut0Grażyna Ryzińska1Department of Materials Forming and Processing, Rzeszow University of Technology, al. Powstańców Warszawy 8, 35-959 Rzeszów, PolandDepartment of Materials Forming and Processing, Rzeszow University of Technology, al. Powstańców Warszawy 8, 35-959 Rzeszów, PolandThis paper presents the results of research aimed at assessing the effectiveness of ten selected constitutive equations for hyperelastic bodies in numerical modeling of the first compression load cycle of a polyurethane elastomer with a hardness of 90 Sh A depending on the methodology for determining the material constants in the constitutive equations. An analysis was carried out for four variants for determining the constants in the constitutive equations. In three variants, the material constants were determined on the basis of a single material test, i.e., the most popular and available in engineering practice, the uniaxial tensile test (variant I), the biaxial tensile test (variant II) and the tensile test in a plane strain (variant III). In variant IV, the constants in the constitutive equations were determined on the basis of all three above material tests. The accuracy of the obtained results was verified experimentally. It has been shown that, in the case of variant I, the modeling results depend to the greatest extent on the type of constitutive equation used. Therefore, in this case it is very important to choose the right equation. Taking into account all the investigated constitutive equations, the second variant for determining the material constants turned out to be the most advantageous.https://www.mdpi.com/1996-1944/16/11/4121elastomerelastomer testingconstitutive equationsexperimentFEM simulation
spellingShingle Stanisław Kut
Grażyna Ryzińska
Modeling Elastomer Compression: Exploring Ten Constitutive Equations
Materials
elastomer
elastomer testing
constitutive equations
experiment
FEM simulation
title Modeling Elastomer Compression: Exploring Ten Constitutive Equations
title_full Modeling Elastomer Compression: Exploring Ten Constitutive Equations
title_fullStr Modeling Elastomer Compression: Exploring Ten Constitutive Equations
title_full_unstemmed Modeling Elastomer Compression: Exploring Ten Constitutive Equations
title_short Modeling Elastomer Compression: Exploring Ten Constitutive Equations
title_sort modeling elastomer compression exploring ten constitutive equations
topic elastomer
elastomer testing
constitutive equations
experiment
FEM simulation
url https://www.mdpi.com/1996-1944/16/11/4121
work_keys_str_mv AT stanisławkut modelingelastomercompressionexploringtenconstitutiveequations
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