Iterative method for large-scale Timoshenko beam models assessed on commercial-grade paperboard
Artikel i vetenskaplig tidskrift, 2025

Large-scale structural simulations based on micro-mechanical models of paper products require extensive numerical resources and time. In such models, the fibrous material is often represented by connected beams. Whereas previous micro-mechanical simulations have been restricted to smaller sample problems, large-scale micro-mechanical models are considered here. These large-scale simulations are possible on a non-specialized desktop computer with 128GB of RAM using an iterative method developed for network models and based on domain decomposition. Moreover, this method is parallelizable and is also well-suited for computational clusters. In this work, the proposed memory-efficient iterative method is numerically validated for linear systems resulting from large networks of Timoshenko beams. Tensile stiffness and out-of-plane bending stiffness are simulated and validated for various commercial-grade three-ply paperboards consisting of layers composed of two different types of paper fibers. The results of these simulations show that a linear network model produces results consistent with theory and published experimental data

Bending

Conjugate gradient

Network

Paperboard

Timoshenko

Domain decomposition

Författare

Morgan Görtz

Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Gustav Kettil

Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik

Axel Målqvist

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Mats Fredlund

Stora Enso AB

Fredrik Edelvik

Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik

Computational Mechanics

0178-7675 (ISSN) 1432-0924 (eISSN)

Vol. 75

Ämneskategorier (SSIF 2011)

Teknisk mekanik

Beräkningsmatematik

DOI

10.1007/s00466-024-02487-z

Mer information

Senast uppdaterat

2025-04-03