Wu Diquan, He Liwen
Key Laboratory of Impact and Safe Engineering, Ministry of Education, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, China.
Materials (Basel). 2022 Oct 11;15(20):7059. doi: 10.3390/ma15207059.
Compared to synthetic materials, naturally grown biological materials have more specific behavioral patterns and life connotations in their morphological evolution over millions of years of environmental evolution on Earth. In this paper, we investigate the physical mechanisms and manifestations of out-of-plane deformation instability. Firstly, the origin of the instability phenomenon caused by the growth of the leaf is introduced. Leaf instability problems are modeled using rectangular thin plates. Secondly, the variation in the critical intrinsic strain with the principal shear modulus is obtained by numerical solution. The post-buckling behavior of the growth instability is further analyzed by general static analysis, and we obtain the phase diagram of morphogenesis of thin plant organs as functions of the principal shear modulus and off-axis angle. The research results enhance the understanding of the mechanism of elastic instability caused by natural growth in orthotropic materials.
与合成材料相比，在经历了地球上数百万年的环境演化后，自然生长的生物材料在其形态演变中具有更特定的行为模式和生命内涵。在本文中，我们研究了面外变形不稳定性的物理机制和表现。首先，介绍了由叶片生长引起的不稳定性现象的起源。叶片不稳定性问题采用矩形薄板进行建模。其次，通过数值求解得到了临界本征应变随主剪切模量的变化。通过一般静力分析进一步分析了生长不稳定性的屈曲后行为，并得到了作为主剪切模量和离轴角函数的薄植物器官形态发生相图。研究结果加深了对正交各向异性材料中自然生长引起的弹性不稳定性机制的理解。
