Iterative method for large-scale Timoshenko beam models assessed on commercial-grade paperboard
Artikel i vetenskaplig tidskrift, 2024

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

Domain decomposition

Conjugate gradient

Paperboard

Timoshenko

Network

Bending

Författare

Morgan Görtz

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik

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. In Press

Ämneskategorier

Teknisk mekanik

Beräkningsmatematik

DOI

10.1007/s00466-024-02487-z

Mer information

Senast uppdaterat

2024-05-24