关于负泊松比的材料力学课程教学拓展与探索

EXPLORATION AND EXPANSION OF TEACHING IN MATERIALS MECHANICS REGARDING NEGATIVE POISSON’S RATIO

  • 摘要: 泊松比是材料力学课程教学中的重要力学概念与材料弹性常数之一。本文对现有材料力学课程中泊松比教学内容进行了拓展和补充,引入了负泊松比效应概念,并介绍了常见的负泊松比材料及其力学性能优势。重点基于内凹蜂窝超材料,详细介绍了实现负泊松比效应的超材料力学理论分析及其教学实践;并借鉴虚拟仿真实验概念,应用有限元数值分析方法,对超材料的负泊松比效应进行仿真分析与讨论,直观地展示了超材料的力学变形模式及其负泊松比效应。从而以此为切入点,加深学生对弯曲内力、挠度、应变和泊松比等重点知识的理解与实践运用。

     

    Abstract: Poisson’s ratio is an important mechanical concept and an elastic constant of materials in mechanics of materials course teaching. Accordingly, this work aims at extending and supplementing the teaching content of the Poisson’s ratio in the mechanics of materials course, by means of introducing the concept of negative Poisson’s ratio, common negative Poisson’s ratio materials and their advantages in mechanical performance. More importantly, based on the concave honeycomb metamaterial, the theoretical analysis and corresponding teaching practice of the metamaterials with negative Poisson’s ratio are introduced. Besides, referring to the virtual simulation experiment, by using finite element analysis, the negative Poisson’s ratio effect is simulated and discussed, so as to intuitively show the deformation modes and negative Poisson’s ratio effect on the metamaterial. Accordingly, above acts as a pointcut to deepen the understanding and practical usage of the important knowledge of the bending internal force, deflection, strain and Poisson ratio for the students.

     

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