Snap-through eversion of axisymmetric shells under contact indentation

被引:0
|
作者
Huang, Weicheng [1 ]
Liu, Zhaowei [2 ]
Liu, Mingchao [3 ]
Hsia, K. Jimmy [4 ,5 ]
机构
[1] Newcastle Univ, Sch Engn, Newcastle Upon Tyne NE1 7RU, England
[2] Hohai Univ, Coll Mech & Engn Sci, Nanjing 211000, Peoples R China
[3] Univ Birmingham, Dept Mech Engn, Birmingham B15 2TT, England
[4] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Nanyang 639798, Singapore
[5] Nanyang Technol Univ, Sch Chem Chem Engn & Biotechnol, Singapore 639798, Singapore
关键词
axisymmetric shell; snap-through; contact mechanics; eversion; geometric nonlinearity; discrete model; THIN SHELLS; BIFURCATION;
D O I
10.1098/rspa.2024.0303
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we systematically investigate the stability of an axisymmetric shell and the snap-through eversion induced by indentation through a discrete numerical approach. To capture the intricate interplay between the geometric and boundary nonlinearities during contact actuation, we employ the discrete axisymmetric shell model accompanied by the incremental potential formulation for our analysis. Our results reveal that the indentation response of a spherical shell can be classified into three groups, i.e. monotonous, monostable and bistable behaviours, whose boundaries can be characterized by a simple scaling law. We further discover that, for bistable shells, the snap-through eversion happens at a critical state where the configurations are universal, which is independent of the indenter size and can be captured by a simple geometric model. One interesting prediction of our model is that, with increasing indenter size, the contact state between the shell and indenter changes from conformal contact to partial separation, which is validated by a finite element method simulation. Our findings may provide explanations for some biophysical phenomena (e.g. cell fusion) and can also guide optimal designs of intelligent structures (e.g. soft actuators and soft robots).
引用
收藏
页数:20
相关论文
共 50 条