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Elastomer biaxial characterization using bubble inflation technique. II: Numerical investigation of some constitutive models
Author(s) -
Rachik M.,
Schmidtt F.,
Reuge N.,
Le Maoult Y.,
Abbeé F.
Publication year - 2001
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.10750
Subject(s) - materials science , finite element method , rheometer , elastomer , bubble , constitutive equation , inverse , mechanics , mathematics , mathematical analysis , structural engineering , composite material , physics , engineering , rheology , geometry
An elastomeric material was investigated with a bubble inflation rheometer, and its mechanical behavior was modeled as a rubbeer‐like solid. Classical strain energy functions were considered and the hyper‐elastic were calculated by a direct identification procedure from simple uniaxial and equibiaxial extension test data, and the reults are compared against those obtained by an inverse method from matching the meaured response to a finite element to a finite element analysis solution, which dependent on the unknown material parameters. The optimised employed the Levenberg‐Marquardt algorithm and Abaqus software to compute the cost function and its gradients. The constants so obtained were further used in finite element analysis, and the numerical results were compared with experiments. This study showed that the inverse method, used to estimate the material parameters, is a good alternative to the direct identification, especially since the latter often requires homogeneous strain state, which is very difficult to obtain.