Nonlinear Viscosity Law in Finite-Element Analysis of High Damping Rubber Bearings and Expansion Joints
Publication: Journal of Engineering Mechanics
Volume 141, Issue 6
Abstract
A 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 examined through numerical examples obtained from different finite-element models subjected to the same load and loading rate. Finally, the proposed computational strategy was applied to locate the regions of stress concentrations in steel plate laminated rubber expansion joints used widely to transfer reactions at central-hinge locations on balanced cantilever highway bridges.
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Acknowledgments
The authors are very grateful to Professor H. Horii, Department of Civil Engineering, University of Tokyo, Japan, for his valuable comments and suggestions and particularly for allowing the use of the experimental facilities of his laboratory to carry out the mechanical tests in the investigation. The authors gratefully acknowledge the kind cooperation extended by the Yokohama Rubber Co. in providing test specimens. The authors also sincerely appreciate the funding provided by the Japanese Ministry of Education, Science, Sports and Culture as Grant-in-Aid for Scientific Research (C) (No. 12650457) to carry out this research.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 6 • June 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 20, 2011
Accepted: Sep 30, 2014
Published online: Nov 3, 2014
Published in print: Jun 1, 2015
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