Nonlinear Viscosity Law in Finite-Element Analysis of High Damping Rubber Bearings and Expansion Joints

AbstractA simple computational strategy for finite-element implementation of a finite-strain viscohyperelasticity model for rubber-like materials was developed. The constitutive model has had a strong physical significance because of the explicit consideration of the nonlinear dependence of viscosity through internal variables (e.g., past maximum overstress and current deformation). To simulate the stress-strain response for particular one-dimensional boundary value problems, a scheme for solving the first-order differential equation representing the viscosity-induced strain-rate effect of rubber was proposed. The scheme was successful in reproducing experimental results obtained from high-damping rubber specimens. In addition, the wider applicability of the proposed strategy in simulation was tested by verifying the numerical results with independent experiments on full-scale high-damping rubber bearings with different geometries and loading rates. The effect of shape factor on bearing responses was exam...

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