Experiments on blocks of open-cell polyurethane foam in uniaxial compression show a progressive strain localization. In a preceding paper, localization is described by a model involving a two-phase nonlinear elastic material. The model is in a good qualitative agreement with experiments, but it was unable to capture some finer aspects of the experimental response, such as stress softening, rate-dependence, and some memory effects. In the context of filler-reinforced rubbers, the inelastic aspects of the response have been studied by several authors. Several models have been proposed, in which a specimen is generally represented as a chain of rheological elements, each consisting of a linear elastic spring set in parallel with one or more dissipative elements. Here we anticipate some results of a research still in progress, in which a good description of the response of open-cell foams is obtained from the existing models for filler-reinforced rubbers by taking visco-elastic dissipative elements obeying a fractional exponential law, and by replacing the convex elastic strain energy of the springs with a non-convex energy of the double-well type.

On the rate-dependent properties of open-cell polyurethane foams

DEL PIERO, Gianpietro;PAMPOLINI, Giampiero
2010

Abstract

Experiments on blocks of open-cell polyurethane foam in uniaxial compression show a progressive strain localization. In a preceding paper, localization is described by a model involving a two-phase nonlinear elastic material. The model is in a good qualitative agreement with experiments, but it was unable to capture some finer aspects of the experimental response, such as stress softening, rate-dependence, and some memory effects. In the context of filler-reinforced rubbers, the inelastic aspects of the response have been studied by several authors. Several models have been proposed, in which a specimen is generally represented as a chain of rheological elements, each consisting of a linear elastic spring set in parallel with one or more dissipative elements. Here we anticipate some results of a research still in progress, in which a good description of the response of open-cell foams is obtained from the existing models for filler-reinforced rubbers by taking visco-elastic dissipative elements obeying a fractional exponential law, and by replacing the convex elastic strain energy of the springs with a non-convex energy of the double-well type.
2010
Polymeric foams; strain localization; nonconvex energies; viscous dissipation; long-term memory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1394335
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