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It is well known that sandwich structures containing low-density soft cores are susceptible to transversely localized loads. However, multi-parameter foundation models of the sandwich cores are extremely simplified when the structures are composed of auxetic materials, whose Poisson’s ratios play very important roles in the face–core interaction. In this study, a two-dimensional symplectic elasticity model of a beam–foundation system representing sandwich beams subjected to normal surface tractions is formulated. The effects of the foundation properties, including Poisson’s ratio ranging from positive to negative, are presented. The proposed technique is beneficial for the potential usage of auxetic core materials.

Analysis of auxetic core sandwich beams subjected to transversely localized loads using two-dimensional symplectic elasticity approach