Linking Paper Structure to Local Distribution of Deformation and Damage

Abstract

A method for quantitatively investigating the relationship between local structural properties (local basis weight, local thickness, local density and local load carrying factor (local fiber orientation)) and local tensile deformation (local strain and local temperature increase (thermal energy dissipation)) was introduced. It was found by utilizing the method for 70 g/m² sack paper strips that relative basis weight, relative thickness, relative density and relative load carrying factor combined explain 31% and 26% of total variation in relative strain and relative temperature increase, respectively. Best single predictors for relative strain were relative basis weight (R²=0.14) and relative load carrying factor (R²=0.11). On the other hand, relative basis weight alone was the best predictor for relative temperature increase deformation distribution parameters from the perspective that high relative temperature increase is preceded by the high relative strain, it could be said that the relative strain explains 45% of the total variation in the relative temperature increase (R²=0.45). Thus, these two parameters describe the deformation in partially different ways. Based on this study, it can be concluded that the introduced method offers a promising tool to quantitatively investigate the separate/combined influence of local structure properties on the local deformation accumulation initializing the failure of paper.