Mathematical models for predicting the quasi-static stress characteristics of corrugated paperboard with sinusoidal core along the longitudinal compression

Abstract

This paper presents two mathematical models to predict the initial peak stress and the plateau stress of five-layered and seven-layered corrugated paperboards respectively, which are simplified and regarded as the orthotropic panels under longitudinal compression. The resultant stress-strain curve exhibits an initial stiffening stage with the initial peak stress determining the edgewise crush resistance of paperboard, and a long plateau stage with which most impact energy can be absorbed. By analyzing the elastic buckling of board walls, the model for prediction of the initial peak stress is obtained, while the plateau stress model is developed based on the gradual process of compression and energy conservation principle. And then, experiments are conducted to validate the presented models by comparing the predicted values with those by experiments, showing overall good agreement. It can be concluded that the proposed models are suitable for design of multi-layered corrugated box and cushioning packaging.