Effects of Negative Poisson's Ratio on the Viscoelastic Behaviour of Sandwich Beams

Auxetic viscoelastic materials enhance energy dissipation and damping in structural applications; their effect on sandwich beams remains under-explored. This study examines how auxeticity affects stress–strain response and stiffness in single-, three-, and five-layer beams in a quasi-static environment. A Prony series models the time-dependent modulus, with analytical predictions compared to finite element analysis (FEA). Results show that greater auxeticity improves energy dissipation and reduces stress in multi-layered beams, though extreme values introduce modelling discrepancies. These findings aid in optimising auxetic viscoelastic materials for vibration damping and structural applications.