Anisotropic elastic-plastic deformation of paper: Out-of-plane model. (January 2018)

• Record Type: Journal Article
• Authors: Li, Yujun; Stapleton, Scott Edward; Reese, Stefanie; Simon, Jaan-Willem
• Is Part Of: International journal of solids and structures. Volume 130/131(2018)
• Page Start: 172
• Page End: 182
• Publication Date: 2018-01
• Subjects: Paper -- Elastic-plasticity -- Yield surface -- Structural tensor -- Internal friction -- Densification effect; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2017.10.003
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: Laminated paperboard and paper is widely used in packaging products. Its out-of-plane properties play a crucial role in converting paperboard to a carton through the creasing and folding process. The aim of this study is to describe the out-of-plane mechanical response with an elastic-plastic model based on the observed experimental behavior. The model was derived from a thermodynamic framework and was based on the multiplicative split of the deformation gradient in the context of hyperelasticity. A structural tensor-based approach was applied to model the elastic deformation, while a multi-surface based yield criterion was adopted to describe the plastic behavior. The model considers both material densification and internal friction effects, which were observed experimentally. According to the experimental behavior, a quadratic yield locus under pure shear loading was assumed in the model. Finally, the model was validated with a cylinder compression test and found to capture the highly anisotropic, elastic-plastic behavior accurately.