Modelling of a visco-hyperelastic polymeric foam with a continuous to discrete relaxation spectrum approach

0525269 - MÚ 2021 RIV GB eng J - Journal Article
Esposito, M. - Sorrentino, L. - Krejčí, Pavel - Davino, D.
Modelling of a visco-hyperelastic polymeric foam with a continuous to discrete relaxation spectrum approach.
Journal of the Mechanics and Physics of Solids. Roč. 142, September (2020), č. článku 104030. ISSN 0022-5096. E-ISSN 1873-4782
Grant - others:AV ČR(CZ) CNR-16-08
Program: Bilaterální spolupráce
Institutional support: RVO:67985840
Keywords : visco-hyperelasticity * polymeric foam * constitutive equation * nonlinear damping
OECD category: Pure mathematics
Impact factor: 5.471, year: 2020
Method of publishing: Limited access
https://doi.org/10.1016/j.jmps.2020.104030

The prediction of compressive properties of foams at large strains and in a wide range of strain rates is still an open issue. In this work we propose a visco-hyperelastic formulation, suitable for large finite strain applications, for the prediction of the compressive response of foams that takes into account the viscoelasticity of the polymer, nonlinear damping, nonlinear behaviour of the cellular structure and effect of gas permeability through the pores at high strain rates. A mathematical expression of the continuous relaxation spectrum is proposed to model the viscoelastic behaviour of the polymer. The relaxation spectrum is then discretized with the desired accuracy required for the subsequent numerical simulations. The model parameters are identified by coupling dynamic measurements at small strain with static ones at large strain. The results are validated by comparing numerical predictions with experimental data from compressive tests up to 50% strain performed at strain rates spanning over 6 degrees of magnitude.
Permanent Link: http://hdl.handle.net/11104/0309450