Stress analysis of two-dimensional cellular materials with thick cell struts |
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Authors: | Dohyung Lim Han Sung Kim Young Ho Kim Yoon Hyuk Kim S T S Al-Hassani |
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Affiliation: | (1) Department of Biomedical Engineering and Research Institute for Medical Instruments & Rehabilitation Engineering, Yonsei University, Wonju, Kangwon, Republic of Korea;(2) School of Advanced Technology, Research Institute of Biomechanical Engineering, Kyunghee University, Yongin, Kyunggi, Republic of Korea;(3) Department of Mechanical, Aerospace & Manufacturing Engineering, University of Manchester, Manchester, UK |
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Abstract: | 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. |
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Keywords: | Cellular materials Thick cell struts Collapse criteria von-Mises stress Truncated yield surface |
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