Stress analysis of two-dimensional cellular materials with thick cell struts

Dohyung Lim, Han Sung Kim, Young Ho Kim, Yoon Hyuk Kim, S. T.S. Al-Hassani

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6 Citations (Scopus)


Finite element analyses (FEA) were performed to thoroughly validate the collapse criteria of cellular materials presented in our previous companion paper. The maximum stress (von-Mises stress) on the cell strut surface and the plastic collapse stress were computed for two-dimensional (2D) cellular materials with thick cell struts. The results from the FEA were compared with those from theoretical criteria of authors. The FEA results were in good agreement with the theoretical results. The results indicate that when bending moment, axial and shear forces are considered, the maximum stress on the strut surface gives significantly different values in the tensile and compressive parts of the cell wall as well as in the two loading directions. Therefore, for the initial yielding of ductile cellular materials and the fracture of brittle cellular materials, in which the maximum stress on the strut surface is evaluated, it is necessary to consider not only the bending moment but also axial and shear forces. In addition, this study shows that for regular cellular materials with the identical strut geometry for all struts, the initial yielding and the plastic collapse under a biaxial state of stress occur not only in the inclined cell struts but also in the vertical struts. These FEA results support the theoretical conclusion of our previous companion paper that the anisotropic 2D cellular material has a truncated yield surface not only on the compressive quadrant but also on the tensile quadrant.

Original languageEnglish
Pages (from-to)835-845
Number of pages11
JournalJournal of Mechanical Science and Technology
Issue number5
Publication statusPublished - 2008 May

Bibliographical note

Funding Information:
This research was supported by the Program for the Training of Graduate Students in Regional Innovation which was conducted by the Ministry of Commerce Industry and Energy of the Korean Government. Additionally, the authors wish to thank Prof. W. J. Stronge (University of Cambridge) and Dr. S. Li (University of Manchester) for their useful comments on the original work upon which this paper is based.

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering


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