A viscoelastic model of finitely deforming rubber is proposed and its nonlinear finite element approximation and numerical simulation are carried out. This viscoelastic model based on continuum mechanics is an extended model of Johnson and Quigley’s one-dimensional model. In the extended model, the kinematic configurations and measures based on continuum mechanics are rigorously defined and by using these kinematic measures, constitutive relations are introduced. The obtained highly nonlinear equations are approximated by the nonlinear finite element method, where a mixture of the total and updated Lagrangian descriptions is used. To verify the theory and the computer code, uniaxial stretch tests are simulated for various stretch rates and compared with actual experiments. As a practical example, an axisymmetric rubber plate under various time-dependent pressure loading conditions is analyzed.
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December 1997
Technical Papers
Viscoelastic Model of Finitely Deforming Rubber and Its Finite Element Analysis
Seung Jo Kim,
Seung Jo Kim
Department of Aerospace Engineering, Seoul National University, San 56-1, Shillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea
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Kyeong Su Kim,
Kyeong Su Kim
Department of Aerospace Engineering, Seoul National University, San 56-1, Shillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea
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Jin Yeon Cho
Jin Yeon Cho
Department of Aerospace Engineering, Seoul National University, San 56-1, Shillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea
Search for other works by this author on:
Seung Jo Kim
Department of Aerospace Engineering, Seoul National University, San 56-1, Shillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea
Kyeong Su Kim
Department of Aerospace Engineering, Seoul National University, San 56-1, Shillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea
Jin Yeon Cho
Department of Aerospace Engineering, Seoul National University, San 56-1, Shillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea
J. Appl. Mech. Dec 1997, 64(4): 835-841 (7 pages)
Published Online: December 1, 1997
Article history
Received:
August 29, 1996
Revised:
April 10, 1997
Online:
October 25, 2007
Citation
Kim, S. J., Kim, K. S., and Cho, J. Y. (December 1, 1997). "Viscoelastic Model of Finitely Deforming Rubber and Its Finite Element Analysis." ASME. J. Appl. Mech. December 1997; 64(4): 835–841. https://doi.org/10.1115/1.2788989
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