2 June 1999 Microstructural modelization of viscoelastic auxetic polymers
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Abstract
In this paper a theoretical and numerical study on the viscoelastic behavior of auxetic polymers and cellular materials is presented. Negative Poisson's ratio materials ((alpha) (upsilon) (eta) (xi) (epsilon) (omicron) (sigma) in Greek) expand in all directions when pulled in only one, and contract when compressed in one direction. This behavior is due to the special geometrical layout of their unit cells. A theoretical model including viscoelastic and inertia effects on the unit cell has been prepared in order to compute the equivalent in- plane dynamic storage modulus and loss factor of the cellular material. The calculations show how inertia effects and geometric layout of the unit cell affect the viscoelastic behavior of the material over the frequency domain. The results show a very good agreement with the ones from analogous FEM models. Auxetic honeycombs are a good example of cellular materials with negative Poisson's ratio behavior. A Finite Element model has been elaborated to model also the viscoelastic response of the transverse shear modulus of this kind of honeycombs and compared with analytical results.
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Fabrizio L. Scarpa, Fabrizio L. Scarpa, Chrystel Remillat, Chrystel Remillat, Geoffrey R. Tomlinson, Geoffrey R. Tomlinson, } "Microstructural modelization of viscoelastic auxetic polymers", Proc. SPIE 3672, Smart Structures and Materials 1999: Passive Damping and Isolation, (2 June 1999); doi: 10.1117/12.349791; https://doi.org/10.1117/12.349791
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