Analytical model and experimental validation for nonlinear mechanical response of aspirated elastic shells

Abstract

We developed a physics-based analytical model to describe the nonlinear mechanical response of aspirated elastic shells. By representing the elastic energy through a stretching modulus, $K$, and a dimensionless ratio, $\delta$, capturing the balance between stretching and bending energies, the model reveals mechanical behaviors extending beyond conventional approaches. Validated across microscale droplets and macroscale silicone sheets by fitting experimental force-displacement curves, this approach provides accurate, scalable characterization of deformed elastic shells. This framework advances our understanding of soft thin-shell mechanics, with broad applications in probing living cells and designing soft materials.