Modelling the Inflation and Elastic Instabilities of Rubber-Like Spherical and Cylindrical Shells Using a New Generalised Neo-Hookean Strain Energy Function

Abstract The application of a newly proposed generalised neo-Hookean strain energy function to the inflation incompressible rubber-like spherical and cylindrical shells is demonstrated in this paper. pressure ( $P$ P ) – $\lambda $ ? or $v$ v relationships are derived presented for four shells: thin- thick-walled balloons, tubes. Characteristics curves predicted by model considered analysed critical values parameters exhibiting limit-point instability established. extant experimental datasets procured from studies across 19th 21st century will be demonstrated, showing favourable agreement between data. capability capture two characteristic phenomena materials, namely inflation-jump instabilities, made evident both theoretical analysis curve-fitting approaches study. A comparison with predictions Gent data also shown that our provides improved fits. Given simplicity model, its ability fit wide range we propose materials.