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Development of Hyperelastic Model for Butadiene Rubber Using a Neural Network

  • Received : 2021.04.12
  • Accepted : 2021.05.04
  • Published : 2021.06.30

Abstract

A strain energy density function is used to characterize the hyperelasticity of rubber-like materials. Conventional models, such as the Neo-Hookean, Mooney-Rivlin, and Ogden models, are widely used in automotive industries, in which the strain potential is derived from strain invariants or principal stretch ratios. A fitting procedure for experimental data is required to determine material constants for each model. However, due to the complexities of the mathematical expression, these models can only produce an accurate curve fitting in a specified strain range of the material. In this study, a hyperelastic model for Neodymium Butadiene rubber is developed by using the Artificial Neural Network. Comparing the analytical results to those obtained by conventional models revealed that the proposed model shows better agreement for both uniaxial and equibiaxial test data of the rubber.

Keywords

Acknowledgement

This work was supported by the Regional Innovation Project based on local Government-University Cooperation [Smart ManufacturingEngineering for Innovation Platform in Gyeongsangnam-do] grant funded by the Ministry of Education [National Research Foundation of Korea (NRF)].

References

  1. Werner Hoffman, "Rubber Technology Handbook", Hanser, (1989).
  2. B. Kim, S. B. Lee, J. Lee, S. Cho, H. Park, S. Yeom, and S. H. Park, "A comparison among Neo-Hookean model, MooneyRivlin model, and Ogden model for Chloroprene rubber", Int. J. Precis. Eng. Manuf., 13, 759 (2012). https://doi.org/10.1007/s12541-012-0099-y
  3. G. Marckmann and E. Verron, "Comparison of hyperelastic models for rubber-like materials", Rubber Chem. Technol., 79, 835 (2006). https://doi.org/10.5254/1.3547969
  4. Y. Shen, K. Chandrashekhara, W. F. Breig, and L. R. Oliver, "Neural network based constitutive model for rubber material", Rubber Chem. Technol., 77, 257 (2004). https://doi.org/10.5254/1.3547822
  5. G. Liang and K. Chandrashekhara, "Neural network based constitutive model for elastomeric foams", Eng. Struct., 30, 2002 (2008). https://doi.org/10.1016/j.engstruct.2007.12.021
  6. K. Linka, M. Hillgartner, K. P. Abdolazizi, R. C. Aydin, M. Itskov, and C. J. Cyron, "Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning", J. Comput. Phys., 429 (2021).
  7. J. Bonet and R. D. Wood, "Nonlinear continuum mechanics for finite element analysis", Cambridge University Press (2008).
  8. M. Mooney, "A theory of large elastic deformation", J. Appl. Phys., 11, 582 (1940). https://doi.org/10.1063/1.1712836
  9. R. W. Ogden, "Large deformation isotropic elasticity - on the correlation of theory and experiment for incompressible rubberlike solids", Rubber Chem. Technol., 46, 565 (1973). https://doi.org/10.5254/1.3542910
  10. G. Klambauer, T. Unterthiner, A. Mayr, and S. Hochreiter, "Self-normalizing neural networks", Advances in Neural Information Processing Systems, (2017).
  11. Kurt Miller, "Testing Elastomers for Hyperelastic Material Models in Finite Element Analysis", Axel Products, Inc.
  12. I. Goodfellow, Y. Bengio, and A. Courville, "Deep Learning - An MIT Press book", MIT Press (2016).