This paper develops a mathematical model to depict the energy absorption properties of multi-layered
corrugated paperboard (MLCP) in various ambient humidities. It is a piecewise function to model the
energy absorptions corresponding to three deformation stages of MLCP (elastic stage, plateau stage
and densification stage) separately. Simple formulas are derived for each stage which relating the energy
absorption capacity of MLCP to the thickness-to-flute pitch ratio of corrugated-core cell, the