Investigation of the nonlinear hyper-viscoelastic behavior of elastomers at finite strain: implementation and numerical validation

Rubber-like materials are known for their time-dependent behavior. The ability to model the hyperviscoelastic behavior of a diverse range of these materials including polymers, elastomers and rubbers is of increasing importance especially in the context of soft tissue mechanics. In this paper, a vis...

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Vydáno v:European physical journal plus Ročník 137; číslo 5; s. 536
Hlavní autoři: Tayeb, Adel, Arfaoui, Makrem, Zine, Abdelmalek, Ichchou, Mohamed, Hamdi, Adel, Ben Abdallah, Jalel
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2022
Springer Nature B.V
Springer
Témata:
Acoustics
Algorithms
Analysis of PDEs
Applied and Technical Physics
Atomic
Biological clocks
Biomechanical engineering
Biomechanics
Boundary value problems
Complex Systems
Condensed Matter Physics
Constitutive equations
Constitutive relationships
Decomposition
Deformation
Elastomers
Engineering Sciences
Finite element method
Functional Analysis
Materials
Mathematical and Computational Physics
Mathematical models
Mathematics
Molecular
Numerical Analysis
Optical and Plasma Physics
Physics
Physics and Astronomy
Polymers
Reactive fluid environment
Regular Article
Soft tissues
Software
Strain
Tangent modulus
Theoretical
Thermodynamics
Viscoelasticity
ISSN:2190-5444, 2190-5444
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Shrnutí:Rubber-like materials are known for their time-dependent behavior. The ability to model the hyperviscoelastic behavior of a diverse range of these materials including polymers, elastomers and rubbers is of increasing importance especially in the context of soft tissue mechanics. In this paper, a viscohyperelastic model, recently published, is recalled. The implementation of this hyperviscoelastic model at finite strain into the finite element software Abaqus via a umat subroutine is presented. To this end, the discrete form of the constitutive equations of the stress and the tangent modulus following the Jaumann derivative were determined. Then, the implementation was validated using homogeneous tests of simple extension and simple shear for several history of strain and non-homogeneous test of pure torsion of a hollow cylinder. The semi-analytic resolution of the boundary value problems of each test compared to the results of simulation of the implemented model shows a total validation of the implementation algorithm. The implemented model can, therefore, be used in real engineering and biomechanical applications dealing with hyperviscoelastic models.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-02757-w