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Constitutive modeling of polymeric foams having a four-parameter modulus function with strain rate sensitivity

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Abstract

A constitutive model of polymeric foams having a four-parameter modulus function is suggested. The modulus function consists of two linear functions and a cubic polynomial of strain depending on the strain range. The parameters of the model are determined by minimizing the sum of squares of errors between the experimental data and model’s predictions. Quasi-static compression tests are done for expanded polyurethane and polypropylene foams to obtain the parameters. Dynamic compression tests give stress strain data at high strain rate and the results are compared with those of the proposed model.

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References

  1. L. J. Gibson and M. F. Ashby, Cellular solids: Structure and properties, 2nd ed., Cambridge University Press (1997).

    Book  Google Scholar 

  2. G. Subhash and Q. Liu, Quasistatic and dynamic crushability of polymeric foam in rigid confinement, International J. of Impact Engineering, 36 (2009) 1303–1311.

    Article  Google Scholar 

  3. Q. Liu and G. Subhash, A phenomenological constitutive model for foams under large deformation, Polymer Engineering and Science, 44 (5) (2004) 463–473.

    Article  Google Scholar 

  4. M. Avalle, G. Belingardi and A. Ibba, Mechanical models of cellular solids: Parameters identification from experimental tests, International J. of Impact Engineering, 34 (2007) 3–27.

    Article  Google Scholar 

  5. V. Goga, Testing and application of new phenomenological materials model for foam materials, computational modeling and advanced simulations, Computational Methods in Applied Science, 24 (2011) 67–82.

    Article  MathSciNet  Google Scholar 

  6. M. F. Alzoubi, S. Al-Hallaj and M. Abu-Ayyad, Modeling of compression curves of flexible polyurethane foam with variable density, chemical formulations and strain rates, Journal of Solid Mechanics, 6 (2014) 82–97.

    Google Scholar 

  7. J. A. Sherwood and C. C. Frost, Constitutive modeling and simulation of energy absorbing polyurethane foam under impact loading, Polymer Engineering and Science, 32 (1992) 1138–1146.

    Article  Google Scholar 

  8. K. Y. Jeong, S. S. Cheon and M. B. Munshi, A constitutive model for polyurethane foam with strain rate sensitivity, JMST, 26 (7) (2012) 2033–2038.

    Google Scholar 

  9. I. M. Daniel, J. M. Cho and B. T. Werner, Characterization and modeling of strain-rate-dependent behavior of polymeric foams, Composites: Part A, 45 (2013) 70–78.

    Article  Google Scholar 

  10. Q. M. Li, I. Magkiriadis and J. J. Harrigan, Compressive strain at the onset of densification of cellular solids, J. of Cellular Plastics, 42 (2006) 371–392.

    Article  Google Scholar 

  11. A. Paul and U. Ramamurty, Strain rate sensitivity of a closed-cell aluminum foam, Materials Science and Engineering, A 281 (1) (2000) 1–7.

    Article  Google Scholar 

  12. A. Nagy, W. L. Ko and U. S. Lindholm, Mechanical behavior of foamed materials under dynamic compression, J. of Cellular Plastics, 10 (1974) 127–134.

    Article  Google Scholar 

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Correspondence to Kwang Young Jeong.

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Recommended by Associate Editor Jun-Sik Kim

Kwang Young Jeong received his B.S. in Mechanical Engineering at Seoul National University in 1980; M.S. at KAIST in 1982. He received his Ph.D. in Mechanical Engineering at University of Iowa in 1991. He is currently a professor in the division of Mechanical and Automotive Engineering at Kongju National University, Korea.

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Jeong, K.Y. Constitutive modeling of polymeric foams having a four-parameter modulus function with strain rate sensitivity. J Mech Sci Technol 30, 683–688 (2016). https://doi.org/10.1007/s12206-016-0124-7

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  • DOI: https://doi.org/10.1007/s12206-016-0124-7

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