Simulation of lateral compressive deformation of wood by finite element analysis with lattice model
Shohei Kajikawa, Keitaro Oda, Takashi Kuboki, Soichi Tanaka, Masahiro Kondo, Mitsuru Abe, Masako Seki, Tsunehisa Miki
Abstract. Simulating large deformations of wood is difficult because the deformation of wood is complex, owing to the hierarchical structure of cells and annual rings. This study presents a finite element method (FEM) analysis that uses a lattice model to reproduce large wood deformations. The proposed lattice model comprises earlywood and latewood cells. The appropriate lattice geometry, considering the cell wall thickness and earlywood volume fraction, is investigated by comparing FEM analysis results with experimental results obtained via a lateral compression test. Consequently, the deformed shape and load–displacement (F–δ) diagram varied, depending on the annual ring tilt angle to the compression direction in the experiment. This anisotropy of the deformed shape was reproduced by the FEM analysis via a lattice model with an appropriate cell wall thickness and earlywood volume fraction. The F–δ diagram of the FEM was similar to that of the experiment.
Keywords
Wood, Compression, Simulation, FEM
Published online 5/7/2025, 9 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Shohei Kajikawa, Keitaro Oda, Takashi Kuboki, Soichi Tanaka, Masahiro Kondo, Mitsuru Abe, Masako Seki, Tsunehisa Miki, Simulation of lateral compressive deformation of wood by finite element analysis with lattice model, Materials Research Proceedings, Vol. 54, pp 1882-1890, 2025
DOI: https://doi.org/10.21741/9781644903599-202
The article was published as article 202 of the book Material Forming
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] L.J. Gibson, M.F. Ashby, Cellular solids Structure and properties, Cambridge University Press, Cambridge, 1999. https://doi.org/10.1017/CBO9781139878326
[2] T. Miki, H. Sugimoto, I. Shigematsu, K. Kanayama, Superplastic deformation of solid wood by slipping cells at sub-micrometer intercellular layers, Int. J. Nanotechnol. 11 (2014) 509–519. https://doi.org/10.1504/IJNT.2014.060572
[3] S. Kajikawa, T. Iizuka, K. Yamaishi, N. Hatanaka, N. Takakura, K. Kanayama, Small Container Fabrication Using Closed Die Wood Forging, Steel Res. Int., Special Edition (2011), 229-234.
[4] H. Uejima, T. Kuboki, S. Tanaka, S. Kajikawa, Deep Container Fabrication by Forging with High- and Low-Density Wood, J. Manuf. Mater. Process. 8 (2024), 30. https://doi.org/10.3390/jmmp8010030
[5] M. Autengruber, M. Lukacevic, G. Wenighofer, R. Mauritz, J. Füssl, Finite-element-based concept to predict stiffness, strength, and failure of wood composite I-joist beams under various loads and climatic conditions, Engineering Structures 245(2021), 112908. https://doi.org/10.1016/j.engstruct.2021.112908
[6] W. Hu, H. Guan, A finite element model of semi-rigid mortise-and-tenon joint considering glue line and friction coefficient, Journal of Wood Science 65 (2019), 14. https://doi.org/10.1186/s10086-019-1794-4
[7] E.I. Saavedra Flores, E.A. de Souza Neto, C. Pearce, A large strain computational multi-scale model for the dissipative behaviour of wood cell-wall, Computational Materials Science 50 (2011), 1202-1211. https://doi.org/10.1016/j.commatsci.2010.11.023
[8] E.I. Saavedra Flores, R.M. Ajaj, I. Dayyani, Y. Chandra, R. Das, Multi-scale model updating for the mechanical properties of cross-laminated timber, Computers and Structures 177 (2016), 83-90. https://doi.org/10.1016/j.compstruc.2016.08.009
