Hyperelasticity Model for Finite Element Analysis of Natural and High Damping Rubbers in Compression and Shear
Publication: Journal of Engineering Mechanics
Volume 132, Issue 1
Abstract
Rate-independent monotonic behavior of filled natural rubber and high damping rubber is investigated in compression and shear regimes. Monotonic responses obtained from tests conducted in both regimes demonstrate the prominent existence of the Fletcher–Gent effect, indicated by high stiffness at low strain levels. An improved hyperelasticity model for compression and shear regimes is proposed to represent the rate-independent instantaneous and equilibrium responses including the Fletcher–Gent effect. A parameter identification scheme involving simultaneous minimization of least-square residuals of uniaxial compression and simple shear data is delineated. The difficulties of identifying a unique set of hyperelasticity parameters that hold for both compression and shear deformation modes are thus overcome. The proposed hyperelasticity model has been implemented in a general purpose finite element program. Finite element simulations of experiments have shown the adequacy of the proposed hyperelasticity model, estimated parameters, and employed numerical procedures. Finally, numerical experiments were conducted to further explore the potential of the proposed model, and estimated parameters in analyzing rubber layers of a base isolation bearing subjected either to compression or to a combination of compression and shear.
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Acknowledgments
The writers 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 them to use the experimental facilities of his laboratory to carry out the mechanical tests in the investigation. The writers gratefully acknowledge the kind cooperation extended by the Yokohama Rubber Co. by providing test specimens. The writers also sincerely appreciate the funding provided by the Japanese Ministry of Education, Science, Sports, and Culture as a Grant-in-Aid for Scientific Research (C) (Grant No. MESSC-JP12650457) to carry out this research.
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Published In
Journal of Engineering Mechanics
Volume 132 • Issue 1 • January 2006
Pages: 54 - 64
Copyright
© 2006 ASCE.
History
Received: Jul 13, 2004
Accepted: Mar 22, 2005
Published online: Jan 1, 2006
Published in print: Jan 2006
Notes
Note. Associate Editor: Francisco Armero
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