Attempt to Assess the Scope of Applicability of a Hyperelastic Murnaghan's Material Model in the Case of Elastomers

In this work, we use the MCMV slightly compressible hyperelastic constitutive model of rubber-like materials that was proposed in the authors' work and implemented in the MES ABAQUS / Standard program. The stored energy function of the MCMV model is approximated by polynomials relative to the L...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2019-11, Vol.661 (1), p.12040
Main Authors: Jemiolo, Stanislaw, Franus, Aleksander, Domanski, Wlodzimierz
Format: Article
Language:English
Subjects:
Approximation
Boundary value problems
Compressibility
Constitutive models
Deformation
Elastomers
Finite element method
Internal energy
Mathematical models
Polynomials
Tensors
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Summary:In this work, we use the MCMV slightly compressible hyperelastic constitutive model of rubber-like materials that was proposed in the authors' work and implemented in the MES ABAQUS / Standard program. The stored energy function of the MCMV model is approximated by polynomials relative to the Lagrange strain tensor, attempting to evaluate the scope of applicability of Murnaghan's models in the boundary-value problem of statics. We analyze in detail the homogeneous deformation problems. The point is to determine the approximate range of deformation, in which we get similar results of the problems mentioned, using the MCMV material model and its approximation.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/661/1/012040