Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: Experimental identification and numerical verification

By A. Amin, A. Lion, S. Sekita, Y. Okui. 2006

254 citations recorded by the source corpus.

The rate-dependent behavior of filled natural rubber (NR) and high damping rubber (HDR) is investigated in compression and shear regimes. In order to describe the viscosity-induced rate-dependent effects, a constitutive model of finite strain viscoelasticity founded on the basis of the multiplicative decomposition of the deformation gradient tensor into elastic and inelastic parts is proposed. The total stress is decomposed into an equilibrium stress and a viscosity-induced overstress by following the concept of the Zener model. To identify the constitutive equation for the viscosity from direct experimental observations, an analytical scheme that ascertains the fundamental relation between the inelastic strain rate and the overstress tensor of the Mandel type by evaluating simple relaxation test results is proposed. Evaluation of the experimental results using the proposed analytical scheme confirms the necessity of considering both the current overstress and the current deformation as variables to describe the evolution of the rate-dependent phenomena. Based on this experimentally based motivation, an evolution equation using power laws is proposed to represent the effects of internal variables on viscosity phenomena. The proposed evolution equation has been incorporated in the finite strain viscoelasticity model in a thermodynamically consistent way. Simulation results for simple relaxation tests, multi-step relaxation tests and monotonic tests at different strain rates using the developed model show an encouraging correlation with the experiments conducted on HDR and NR in both compression and shear regimes. Finally, an approach to extend the proposed evolution equation for rate-dependent cyclic processes is proposed. The simulation results are critically compared with the experiments.

Subfields: Biomedical Engineering, Fluid Flow and Transfer Processes, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/b5908f64ee5cc21c46485312e916253cd52ed526

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In Biomedical Engineering

In Fluid Flow and Transfer Processes

In Polymers and Plastics

Citations in the corpus

On the two-potential constitutive modeling of rubber viscoelastic materials (2016, unknown): “Molecular analyses [22–24] as well as macroscopic experiments [25–28] have by now established that elastomers exhibit deformation-enhanced shear thinning.”
A theory of finite deformation magneto-viscoelasticity (2013, methodology): “, Simo (1987) and Amin et al. (2006). The second class of viscoelastic material modelling is based on micromechanical theories derived using the underlying molecular structures, see, for example, the works of Bird et al. (1987), Doi and Edwards (1988), Bergström and Boyce (1998) and Miehe and Göktep”
Evaluation of equivalent linearization analysis methods for seismically isolated buildings characterized by SDOF systems (2014, methodology): “Many sophisticated hysteretic models, such as Bouc-Wen model [5] and other velocity- or frequency-based models [6–9], have been developed and utilized to simulate the nonlinear behavior of seismic isolation devices in recent years.”