대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제25권4호
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  • Pages.619-628
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  • 2001
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  • 1226-4873(pISSN)
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  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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정적 대변형에 중첩된 미소 동적 하중을 받는 고무재료의 점탄성 구성방식에 관한 연구

A Viscoelastic Constitutive Model of Rubber Under Small Oscillatory Loads Superimposed on Large static Deformation

  • Kim, Bong-Gyu (Dept. of Mechanical Engineering, Graduate School of Korea Advanced Institute of Science and Technology) ;
  • Yun, Seong-Gi
  • 발행 : 2001.04.01
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초록

A viscoelastic constitutive equation of rubber is proposed under small oscillatory load superimposed on large static deformation. The proposed model is derived through linearization of Simos nonlinear viscoelastic constitutive model and reference configuration transformation. Statically pre-deformed state is used as reference configuration. The model is extended to a generalized viscoelastic constitutive equation including widely-used Mormans model. Static deformation correction factor is introduced to consider the influence of pre-strain on the relaxation function. The model is tested for dynamic behavior of rubbers with different carbon black fractions. It is shown that the constitutive equation with static deformation correction factor agrees well with test results.

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참고문헌

  1. Truesdell, C. and Noll, W., 1965, The Non-Linear Field theories of Mechanics, Springer-Verlag, NewYork, Encyclopedia of Physics, Edited by S. Flugge
  2. Simo, J.C., 1987, 'A Fully Three-dimensional Finite-strain Viscoelastic Damage Model: Formulation and Computational Aspects,' Computer Methods in Applied Mechanics and Engineering, Vol. 60, pp. 153-173 https://doi.org/10.1016/0045-7825(87)90107-1
  3. Drozdov, A. D., 1998, 'A Model for the Nonlinear Viscoelastic Response in Polymer at Finite Strains,' International Journal of Solids Structures, Vol. 35, No. 18, pp. 2315-2347 https://doi.org/10.1016/S0020-7683(97)00184-4
  4. Sulivan, J. I., Morman, K. N. and Pett, R. A., 1980, 'A Non-linear Viscoelastic Characterization of a Natural Rubber Gum Vulcanizate,' Rubber Chemistry and Technology, Vol. 53, pp. 805-822
  5. Zdunek, A. B., 1992, 'Determination of Material Response Functions for Prestrained Rubbers,' Rheologica Acta, Vol. 31, pp. 575-591 https://doi.org/10.1007/BF00367012
  6. Hibbit, Karlsson and Sorenson Inc., 1997, ABAQUS theory manual, Version 5.7
  7. Coleman, B. D. and Noll, W., 1961, 'Foundations of Linear Viscoelasticity,' Reviews of Modern Physics, Vol. 33, pp. 239-249 https://doi.org/10.1103/RevModPhys.33.239
  8. Lianis, G., 1965, 'Application of Ireversible Thermodynamics in Finite Viscoelastic Deformations,' Journal of Applied Mechanics, Vol. 32, pp. 623-629
  9. Voet, A. and Morawski, J.C., 1974, 'Dynamic Mechanical and Electrical Properties of Vulcanizates at Elongations up to Sample Rupture,' Rubber Chemistry and Technology, pp. 765-777
  10. Kramer, O., Hvidt, S. and Ferry, J. D., 1994, 'Dynamic Mechanical Properties,' Academic Press, San Diego, Science and Technology of rubber, edited by James E. Mark, Burak Erman and Frederik R. Eirich.
  11. Gogovindjee, S. and Reese, S., 1997, 'A Presentation and Comparison of Two Large Deformation Viscolasticity Models,' Journal of Enineering Materials and Technology, Vol. 119, pp. 251-255
  12. Becker, E. B. and Miller, T., 1989, User's Manual for the TEXPAC Computer Code, MSI, Austin, Texas
  13. Bathe, K. J., 1996, Finite Element Procedures, Prentice-Hall, New Jersey
  14. Kleiber, M., 1989, Incremental Finite Element Modeling in Non-linear Solid Mechanics, John Wiley & Sons, New York
  15. Washizu, K., 1982, Variational Methods in Elasticity & Plasticity, Pergamon Press, 3rd ed.
  16. Kim, B.-K. and Youn, S.-K., 1999, 'A Viscoelastic Constitutive Model of Fubber Under Small Oscillatory Loads Superimposed on Large Static Deformation,' Int. J. Sloids and Structures, Submitted
  17. Zdunek, A. B., 1992, 'Theory and Computation of the Steady State Harmonic Response of Viscoelastic Rubber Parts,' Computer Methods in Applied Mechanics and Engineering, Vol. 105, pp. 63-92 https://doi.org/10.1016/0045-7825(93)90116-F
  18. 정규동, 윤성기, 김봉규, 1999, '고체 추진제의 3차원 비선형 점탄성 구성방정식에 관한 연구,' 대한기계학회 논문집 A, 제 23 권, 제 3 호, pp. 469-477
  19. Brown, R.P., 1996, Physical Testing of Rubber, Chapman & Hall, London, 3rd Ed.
  20. Nashif, A. D., Jones, D. I. G. and Henderson, J. P., 1985, Vibration Damping, John Wiley & Sons, New York