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Extending Marlow's general first-invariant constitutive model to compressible, isotropic hyperelastic materials

Title data

Hüter, Florian ; Rieg, Frank:
Extending Marlow's general first-invariant constitutive model to compressible, isotropic hyperelastic materials.
In: Engineering Computations. (29 December 2020) .
ISSN 0264-4401
DOI: https://doi.org/10.1108/EC-05-2020-0251

Official URL: Volltext

Project information

Project financing: Andere

Abstract in another language

Purpose:
A general first-invariant constitutive model has been derived in literature for incompressible, isotropic hyperelastic materials, known as Marlow model, which reproduces test data exactly without the need of curve-fitting procedures. This paper aims to describe how to extend Marlow’s constitutive model to the more general case of compressible hyperelastic materials.

Design/methodology/approach:
The isotropic constitutive model is based on a strain energy function, whose isochoric part is solely dependent on the first modified strain invariant. Based on Marlow’s idea, a principle of energetically equivalent deformation states is derived for the compressible case, which is used to determine the underlying strain energy function directly from measured test data. No particular functional of the strain energy function is assumed. It is shown how to calibrate the volumetric and isochoric strain energy functions uniquely with uniaxial or biaxial test data only. The constitutive model is implemented into a finite element program to demonstrate its applicability.

Findings:
The model is well suited for use in finite element analysis. Only one set of test data is required for calibration without any need for curve-fitting procedures. These test data are reproduced exactly, and the model prediction is reasonable for other deformation modes.

Originality/value:
Marlow’s basic concept is extended to the compressible case and applied to both the volumetric and isochoric part of the compressible strain energy function. Moreover, a novel approach is described on how both compressive and tensile test data can be used simultaneously to calibrate the model

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: ahead-of-print
Keywords: Finite Element Analysis; Constitutive model; Compressible Material; Isotropic hyperelasticity; Marlow model
Institutions of the University: Faculties > Faculty of Engineering Science
Faculties > Faculty of Engineering Science > Chair Engineering Design and CAD
Faculties > Faculty of Engineering Science > Chair Engineering Design and CAD > Chair Engineering Design and CAD - Univ.-Prof. Dr.-Ing. Frank Rieg
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 500 Natural sciences
600 Technology, medicine, applied sciences > 620 Engineering
Date Deposited: 07 Jan 2021 13:55
Last Modified: 07 Jan 2021 13:56
URI: https://eref.uni-bayreuth.de/id/eprint/61470