Statistical volume element generation for paperboard based on X-ray computer tomography images

The macroscopic response governed by a statistical volume element, generated from 3D X-ray computer tomography images of paperboard, is explored. The statistical volume element, which consists of fibres and void, is derived from X-ray computer tomography images. Two filters for computing intensity fields and intensity gradients have been implemented and compared. Using an intensity threshold, the fibres are identified. The intensity gradient is used to identify the structural tensors, which define the fibre orientations. A finite element model is established using the voxel structure from the X-ray computer tomography images. Fibres are modelled as a transversely isotropic elasto-plastic material, where use is made of the identified structural tensors. From finite element simulations of statistical volume elements, calibrated against macroscopic uniaxial responses, the elasto-plastic fibre properties are identified, and the stress distribution in the volume element is analysed. A study on the dimensions of the volume element is also conducted. • Macroscopic response of a statistical volume element for paperboard is explored. • Paperboard fibre orientations are identified from X-ray computer tomography images. • Fibre orientations are used in a finite element model of a statistical volume element. • Fibre properties are identified from macroscopic uniaxial responses.