Abstract
The main concern of this paper is the development of a three dimensional viscoelastic model at finite strain to describe nonfactorizable behavior of rubber-like materials. The model is developed within the framework of rational thermodynamics and internal state variable approach such that the second law of thermodynamics in the form of Clausius–Duhem inequality is satisfied. The nonfactorizable aspect of the behavior is introduced via a strain dependent relaxation times. The model is applied to describe the response of the isotropic Pipkin multi-integral viscoelastic model and the Bromobutyl (BIIR) material, several parameters involved are then identified using quasi-static and dynamic experiments thanks to a least-square minimization procedure. The proposed model is able to reproduce quasi-static response and show a good ability to predict the dynamic response of nonfactorizable rubber-like materials (BIIR) and the multi-integral model of Pipkin in a wide range of strain.
Highlights
It is well known that rubber-like materials exhibit nonlinear viscoelastic behavior over a wide range of strain and strain rates confronted in severalPreprint submitted to Journal Name engineering applications such as civil engineering, automotive and aerospace industries
Several phenomenological models have been developed to describe the nonfactorizable behavior of rubber-like materials, namely the
[3] and Sullivan in [4] for which a generalized measure of deformation has replaced the strain tensor in the linear Boltzmann convolution integral model and the nonlinear viscoelastic model by Schapery [5] in which the creep compliance and the shear relaxation functions were considered stress-dependent and strain-dependent functions respectively and the model of Valanis [6] in which a total thermodynamic formulation led to a constitutive equation depending on the deformation via a deformation shift function in analogy with the so-called rheoligically simple materials
Summary
Preprint submitted to Journal Name engineering applications such as civil engineering, automotive and aerospace industries This is due to their capacity to undergo high strain and strain rates without exceeding the elastic range of behavior. [3] and Sullivan in [4] for which a generalized measure of deformation has replaced the strain tensor in the linear Boltzmann convolution integral model and the nonlinear viscoelastic model by Schapery [5] in which the creep compliance and the shear relaxation functions were considered stress-dependent and strain-dependent functions respectively and the model of Valanis [6] in which a total thermodynamic formulation led to a constitutive equation depending on the deformation via a deformation shift function in analogy with the so-called rheoligically simple materials. The capacity of the model to describe the behavior of the material is outlined
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