Exploring Nonlinearities in Buckling of Solids

探索固体屈曲的非线性

• 批准号: 2784897
• 金额: --
• 依托单位: University of Manchester
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2784897
• 关键词: Exploring; Nonlinearities; Buckling; Solids

When compressed sufficiently, a straight beam deforms by bulging to one of its sides, or buckling. For thousands of years of human civilization, we were trying to avoid this type of instability, most notably in construction of building. However, there is a paradigm shift in how we think about the buckling problems - we now embrace this phenomenon as a means of changing material functionality. A perfect example is the role buckling has in designing mechanical metamaterials, such as holey beams (beams with a regular line of holes), which, once buckled, show auxetic behaviours (they contract instead of expanding like regular beam of solid material would). This particular property emerges as a consequence of geometry of the structure, but even more interesting properties arise when geometry of the deformation combines with constitutive nonlinearities. For example, holey beams made from metals soften post-buckling (although the corresponding metals do not have strain-softening behaviour). During this project we will explore the interplay between geometrical and constitutive nonlinearities during buckling using a handful of model systems, including the holey beams. These interactions will be studied by combining theoretical modelling with quantitative experiments.

当受到足够的压缩时，一根直梁会因向一侧膨胀或弯曲而变形。在几千年的人类文明中，我们一直在努力避免这种不稳定，尤其是在建筑的建造中。然而，我们对屈曲问题的看法发生了范式转变——我们现在将这种现象视为改变材料功能的一种手段。一个完美的例子是屈曲在设计机械超材料中所起的作用，比如孔洞梁（具有规则孔洞线的梁），一旦屈曲，就会表现出auxetic行为（它们收缩而不是像固体材料的常规梁那样膨胀）。这种特殊的性质是由于结构的几何形状而产生的，但当变形的几何形状与本构非线性结合在一起时，更有趣的性质就出现了。例如，由金属制成的孔洞梁在屈曲后会变软（尽管相应的金属没有应变软化行为）。在这个项目中，我们将探索屈曲过程中几何非线性和本构非线性之间的相互作用，使用少数模型系统，包括孔洞梁。这些相互作用将通过结合理论建模和定量实验来研究。