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1 Journal of Theoretical and Applied Mechanics

1 2025

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Improved Sherwood-Frost phenomenological constitutive model suitable for polymethacrylimide foam under uniaxial compression

Cen Qianying, Liu Ling

Journal of Theoretical and Applied Mechanics

2025

Vol. 63 nr 1

91--101

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.