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ARTICLE
Improved Sherwood-Frost phenomenological constitutive model suitable for polymethacrylimide foam under uniaxial compression
1
School of Aerospace Engineering & Applied Mechanics, Tongji University, Shanghai, China
Submission date: 2024-07-21
Final revision date: 2024-10-16
Acceptance date: 2024-11-11
Online publication date: 2025-01-13
Corresponding author
KEYWORDS
TOPICS
ABSTRACT
To investigate the stress-strain response of polymethacrylimide (PMI) foam under uniaxial compression, an improved phenomenological constitutive model based on Sherwood-Frost model is fitted from the compressive stress-strain curves of PMI foam. Firstly, new function terms are proposed to describe the effects of temperature, density and strain-rate. Then, the model parameters are determined. Finally, compression experiments and numerical simulation are conducted on PMI foams at different temperatures, densities and strain-rates to verify the modified model. The results show that it can successfully predict the compressive mechanical response of PMI foam if the effects of density, temperature and strain-rate are considered.
REFERENCES (17)
1.
Chai H.W., Xie Z.L., Xiao X.H., Xie H.L., Huang J.Y., Luo S.N., 2020, Microstructural characterization and constitutive modeling of deformation of closed-cell foams based on in situ x-ray tomography, International Journal of Plasticity, 131, 102730.
2.
Flores-Johnson E.A., Li Q.M., Mines R.A.W., 2008, Degradation of elastic modulus of progressively crushable foams in uniaxial compression, Journal of Cellular Plastics, 44, 5, 415-434.
3.
Hedayati R., Sadighi M., 2018, Low-velocity impact behaviour of open-cell foams, Journal of Theoretical and Applied Mechanics, 56, 4, 939-949.
4.
Hu S., Liu J., Wang W., 1998, Study of the constitutive relationship of rigid polyurethane foam (in Chinese), Chinese Journal of Theoretical and Applied Mechanics, 30, 2, 151-156.
5.
Huo X., Jiang Z., Luo Q., Li Q., Sun G., 2022, Mechanical characterization and numerical modeling on the yield and fracture behaviors of polymethacrylimide (PMI) foam materials, International Journal of Mechanical Sciences, 218, 107033.
6.
Jeong K.Y., Cheon S.S., Munshi M.B., 2012, A constitutive model for polyurethane foam with strain rate sensitivity, Journal of Mechanical Science and Technology, 26, 7, 2033-2038.
7.
Li Q.M., Mines R.A.W., Birch R.S., 2000, The crush behaviour of Rohacell-51WF structural foam, International Journal of Solids and Structures, 37, 43, 6321-6341.
8.
Li X.Q., Tao J.L., Landauer A.K., Franck C., Henann D.L., 2022, Large-deformation constitutive modeling of viscoelastic foams: Application to a closed-cell foam material, Journal of the Mechanics and Physics of Solids, 161, 104807.
9.
Maier L., Hu P., Seibert H., 2006, PMI foam cored sandwich components produced by means of different manufacturing methods (in Chinese), Journal of Materials Engineering, 5, 37-40, 45.
10.
Meinecke E.A., Schwaber D.M., 1970, Energy absorption in polymeric foams. I. Prediction of impact behavior from Instron data for foams with rate-independent modulus, Journal of Applied Polymer Science, 14, 9, 2239-2248.
11.
Palamidi E., 2010, Hopkinson bar testing of cellular materials, Ph.D. Thesis, University of Manchester, Manchester.
12.
Poxon S., 2012, The mechanical response of low to high density Rohacell foams, Ph.D. Thesis, University of Oxford, Oxford.
13.
Rahimidehgolan F., Altenhof W., 2023, Compressive behavior and deformation mechanisms of rigid polymeric foams: A review, Composites Part B: Engineering, 253, 110513.
14.
Rusch K.C., 1969, Load-compression behavior of flexible foams, Journal of Applied Polymer Science, 13, 11, 2297-2311.
15.
Seibert H.F., 2006, Applications for PMI foams in aerospace sandwich structures, Reinforced Plastics, 50, 1, 44-48.
16.
Sherwood J.A., Frost C.C., 1992, Constitutive modeling and simulation of energy absorbing polyurethane foam under impact loading, Polymer Engineering and Science, 32, 16, 1138-1146.
17.
Xing Z., Cen Q., Wang Q., Li L., Wang Z., Liu L., 2024, Compressive mechanical behavior and corresponding failure mechanism of polymethacrylimide foam induced by thermo-mechanical coupling, Polymers, 16, 9, 1199.
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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