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负泊松比材料(也称拉胀材料)是一种具有特殊力学性能的新型功能材料,有着良好的应用前景.对于该类材料的变形机理研究,基于旋转刚性单元模型,提出一类新型多尺寸刚性矩形单元组合模型.该模型中不同尺寸的刚性矩形单元通过旋转铰链方式连接,在材料受单向外力作用下展现出宏观的负泊松比效应.在模型中通过对周期循环胞体的分析,得到了材料的泊松比随刚体单元之间夹角θ变化的解析表达式.结果表明,该模型的泊松比在夹角θ趋近90°时取极值,通过调整刚性单元的几何尺寸可以改变模型的泊松比的大小.这些结果对二维多胞拉胀材料的微结构设计具有参考价值.
Negative Poisson’s ratio material (also known as intumescent material) is a new type of functional material with special mechanical properties, which has a good application prospect.For the deformation mechanism of such materials, based on the rotating rigid element model, a new type of multi Dimensional rigid rectangular unit combination model in which the rigid rectangular units of different sizes are connected by a rotating hinge and show a macroscopic negative Poisson’s ratio effect when the material is subjected to a unidirectional external force In the model, , The analytic expression of the Poisson’s ratio of the material with the change of the angle θ between the rigid elements is obtained.The results show that the Poisson’s ratio of the model takes the extreme value when the included angle θ approaches 90 °, The size can change the Poisson’s ratio of the model.These results have reference value for the microstructure design of two-dimensional multicellular bulge material.