Abstract

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.

摘要

众所周知，包含低密度软芯的夹层结构容易受到横向局部载荷的影响。然而，当结构由拉胀材料组成时，夹心芯的多参数基础模型极其简化，其泊松比在面芯相互作用中起着非常重要的作用。在这项研究中，制定了代表受法向表面牵引作用的夹层梁的梁基础系统的二维辛弹性模型。介绍了基础属性的影响，包括从正到负的泊松比。所提出的技术有利于拉胀芯材料的潜在用途。