Coupier Gwennou, Djellouli Adel, Quilliet Catherine
Univ. Grenoble Alpes, CNRS, LIPhy, 38000, Grenoble, France.
Eur Phys J E Soft Matter. 2019 Sep 30;42(9):129. doi: 10.1140/epje/i2019-11900-2.
We investigate the relationship between pre-buckling and post-buckling states as a function of shell properties, within the deflation process of shells of an isotropic material. With an original and low-cost set-up that allows to measure simultaneously volume and pressure, elastic shells whose relative thicknesses span on a broad range are deflated until they buckle. We characterize the post-buckling state in the pressure-volume diagram, but also the relaxation toward this state. The main result is that before as well as after the buckling, the shells behave in a way compatible with predictions generated through thin shell assumption, and that this consistency persists for shells where the thickness reaches up to 0.3 the shell's midsurface radius.
我们研究了在各向同性材料壳的放气过程中,作为壳特性函数的屈曲前和屈曲后状态之间的关系。通过一种原始且低成本的装置,该装置能够同时测量体积和压力,对相对厚度范围很广的弹性壳进行放气,直至其屈曲。我们在压力 - 体积图中表征屈曲后状态,以及向该状态的松弛过程。主要结果是,在屈曲之前和之后,壳的行为方式与通过薄壳假设产生的预测结果相符,并且对于厚度达到壳中面半径0.3的壳,这种一致性仍然存在。