Vandiver Rebecca, Goriely Alain
Program in Applied Mathematics, University of Arizona, Building no. 89, Tucson, AZ 85721, USA.
Philos Trans A Math Phys Eng Sci. 2009 Sep 13;367(1902):3607-30. doi: 10.1098/rsta.2009.0114.
Cylindrical forms are among one of Nature's fundamental building blocks. They serve many different purposes, from sustaining body weight to carrying flows. Their mechanical properties are generated through the often complex arrangements of the walls. In particular, in many structures that have elastic responses, such as stems and arteries, the walls are in a state of tension generated by differential growth. Here, the effect of differential growth and residual stress on the overall mechanical response of the cylindrical structure is studied within the framework of morpho-elasticity.
圆柱形结构是自然界的基本构建单元之一。它们有许多不同的用途，从支撑体重到承载流体。其力学性能是通过壁的通常复杂排列产生的。特别是，在许多具有弹性响应的结构中，如茎和动脉，壁处于由差异生长产生的张力状态。在此，在形态弹性框架内研究差异生长和残余应力对圆柱形结构整体力学响应的影响。
