DOI QR코드

DOI QR Code

Mechanical Testing and Nonlinear Material Properties for Finite Element Analysis of Rubber Components

고무부품의 유한요소해석을 위한 재료시험 및 비선형 재료물성에 관한 연구

  • 김완두 (한국기계연구원 구조연구부) ;
  • 김완수 (한국기계연구원 구조연구부) ;
  • 김동진 (한국기계연구원 구조연구) ;
  • 우창수 (한국기계연구원 구조연구) ;
  • 이학주 (한국기계연구원 구조연구)
  • Published : 2004.06.01

Abstract

Mechanical testing methods to determine the material constants for large deformation nonlinear finite element analysis were demonstrated for natural rubber. Uniaxial tension, uniaxial compression, equi-biaxial tension and pure shear tests of rubber specimens are performed to achieve the stress-strain curves. The stress-strain curves are obtained after between 5 and 10 cycles to consider the Mullins effect. Mooney and Ogden strain-energy density functions, which are typical form of the hyperelastic material, are determined and compared with each other. The material constants using only uniaxial tension data are about 20% higher than those obtained by any other test data set. The experimental equations of shear elastic modulus on the hardness and maximum strain are presented using multiple regression method. Large deformation finite element analysis of automotive transmission mount using different material constants is performed and the load-displacement curves are compared with experiments. The selection of material constant in large deformation finite element analysis depend on the strain level of component in service.

Keywords

Rubber;Material Test;Nonlinear Material Property;Finite Element Analysis;Rubber Mount

References

  1. MSC Software Co., 2001, Nonlinear Finite Element Analysis of Elastomers
  2. Kim, W. D., Kim, D. J., Kim, W. S. and Lee, Y. S., 2003, 'A Study on the Equi-biaxial Tension Test of Rubber Material,' Trans. of KSAE, Vol. 11, No. 5, pp. 95-104
  3. Brown, R. P., 1996, Physical Testing of Rubber, Chapman & Hall, London, pp. 44-47
  4. Kim, W. D., Kim, W. S. and Kim, C. H, 2001, 'Determination of Rubber Material Model and The Deformation Behaviors of Rubber Component Considering Mullins Effect,' MSC User's Conference
  5. Maron, M. J. and Ropez, R. J., 1991, Numerical Analysis, Wadsworth Publishing, Belmont
  6. Gent, A. N., 1992, Engineering with Rubber, Oxford Univ. Press., New York, pp. 245-246
  7. Ogden, R. W., 1972, 'Large Deformation Isotropic Elasticity: On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids,' Proc. of the Royal Society(A), Vol. 326, pp. 565-584 https://doi.org/10.1098/rspa.1972.0026
  8. Arruda, E. and Boyce, M. C., 1993, 'A Three-Dimensional Constitutive Model for the Large Stretch Behavior of Rubber Elastic Materials,' J. Mech. Phys. Solids, Vol. 41, No. 2, pp. 389-412 https://doi.org/10.1016/0022-5096(93)90013-6
  9. MSC Software Co., 2001, MARC user's manual
  10. Miller, K., 2002, 'Structural Testing of Materials for Finite Element Analysis of Elastomeric Parts,' Automotive Elastomers Conference
  11. Mullins, L., 1969, 'Softening of Rubber by Deformation,' Rubber Chemistry and Technology, Vol. 42, pp. 339-362 https://doi.org/10.5254/1.3539210
  12. Rivlin, R. S. and Saunders, D. W., 1951, 'Large Elastic Deformations of Isotropic Materials - VII. Experiments on the Deformation of Rubber,' Philos. Trans. R. Soc.(A), Vol. 243, pp. 251-288 https://doi.org/10.1098/rsta.1951.0004
  13. Kim, W. D., Kim, W. S. and Woo, C. S., 2001, 'Test Method of Rubber Material Model For Finite Element Analysis,' International Rubber Conference
  14. Bradley, G. L., Chang, P. C., Mckenna and G. B., 2001, 'Rubber Modeling Using Uniaxial Test Data,' J. of App. Poly. Sci., Vol. 81, pp. 837-848 https://doi.org/10.1002/app.1503
  15. Moreau, C., Thuillier, S., Rio, G. and Grolleau, V., 1998, 'The Mechanical Behavior of a Slightly Compressible Rubber-Like Material: Correlation of Simulations and Experiments,' Rubber Chemistry and Technology, Vol. 72, pp. 269-282
  16. Kim, H. Y., Choi, C., Bang, W. J. and Kim, J. S., 1993, 'Large Deformation Finite Element Analysis for Automotive Rubber Components,' Trans. of KSAE, Vol. 15, No. 1, pp. 107-119
  17. Joun, M. S., Moon, H. K. and Kim, S. J., 1997, 'A Simple Finite Element Method to Determination of Deformed Shape and Load- Displacement Curve of Elstomers,' Trans. of KSME(A), Vol. 21, No. 2, pp. 217-222
  18. Shin, S. J., Lee, T. S. and Oh, S. I., 1998, 'Three-dimensional Finite Element Analysis of Rubber Pad Deformation,' Trans. of KSME(A), Vol. 22, No. 1, pp. 111-131
  19. Wada, N., Takashima, M., Kondo, T. and Mitsuhashi, K., 2002, 'Effect of Precision of Types of Test Pieces on Tensile Data of Vulcanized Rubbers,' International Rubber Conference

Cited by

  1. An experimental study and finite element analysis of weatherstrip vol.12, pp.1, 2011, https://doi.org/10.1007/s12541-011-0012-0
  2. Material Properties for Reliability Improvement in the FEA Results for Rubber Parts vol.35, pp.11, 2011, https://doi.org/10.3795/KSME-A.2011.35.11.1521
  3. A spherical indentation technique for property evaluation of hyperelastic rubber vol.27, pp.20, 2012, https://doi.org/10.1557/jmr.2012.241
  4. Finite element analysis of crystalline silicon solar cell in screen printing process by using Taguchi method vol.14, pp.4, 2013, https://doi.org/10.1007/s12541-013-0085-z
  5. A Study of the Static and Dynamic Characteristics for Automotive Rubber Mount by FEA and Experiment vol.297-300, pp.1662-9795, 2005, https://doi.org/10.4028/www.scientific.net/KEM.297-300.299
  6. Comparative Study of Bifurcation Behavior of Rubber in Accordance with the Constitutive Equations vol.34, pp.6, 2010, https://doi.org/10.3795/KSME-A.2010.34.6.731
  7. Investigation of a Novel Rubber-Forming Process Inducing Uniform Surface Pressure for the Fabrication of a Thin Bent Plate with Corrugated Structure vol.35, pp.8, 2011, https://doi.org/10.3795/KSME-A.2011.35.8.933
  8. Comparative Study on the Nonlinear Material Model of HyperElastic Material Due to Variations in the Stretch Ratio vol.32, pp.4, 2018, https://doi.org/10.26748/KSOE.2018.6.32.4.253