2013
DOI: 10.1063/1.4807844
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Swelling of cellular solids: From conventional to re-entrant honeycombs

Abstract: We find that, in two-dimensional periodic cellular solids, the hygro-expansion properties of the cell wall and the geometrical configurations of the lattice determine the effective swelling behavior of the medium. In this letter, we present the associated phase diagram for the swelling anisotropy of conventional and re-entrant honeycomb morphologies. The presented results are obtained numerically from a finite element based computational upscaling scheme. We show how the pattern of anisotropy in swelling behav… Show more

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Cited by 6 publications
(4 citation statements)
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References 22 publications
(21 reference statements)
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“…Based on this hypothetical explanation, the complex hierarchical structure of wood enhances the dimensional stability of wood across scales from cell wall substance to cellular tissue and to macroscopic scales. These observations are in the same direction as recent findings in our own micromechanics investigations that show the anisotropic swelling behaviour of cellular materials is essentially due to the swelling anisotropy of the cell wall material [31,32]. Reported values in the literature for in situ swelling or shrinkage of latewood cell walls of softwoods obtained by microscopic observations are comparable to our measurements.…”
Section: Discussionsupporting
confidence: 92%
“…Based on this hypothetical explanation, the complex hierarchical structure of wood enhances the dimensional stability of wood across scales from cell wall substance to cellular tissue and to macroscopic scales. These observations are in the same direction as recent findings in our own micromechanics investigations that show the anisotropic swelling behaviour of cellular materials is essentially due to the swelling anisotropy of the cell wall material [31,32]. Reported values in the literature for in situ swelling or shrinkage of latewood cell walls of softwoods obtained by microscopic observations are comparable to our measurements.…”
Section: Discussionsupporting
confidence: 92%
“…Studies based on computational mechanical modeling have also shown that the geometry of the cell walls and the cell wall layered structure can play a role in the anisotropic swelling of a cellular solid. Honeycomb cellular solids with homogenous cell walls swell isotropically, while honeycombs with a layered cell wall structure displayed anisotropic swelling behavior [107,108].…”
Section: Cellular Structurementioning
confidence: 99%
“…Other studies [32,33] are concerned with the effect of a turgor pressure on the effective stiffness of foam solids like the parenchyma tissue, but their scope limits to isotropically shaped cells in the stretching-dominated regime. Some studies have investigated the influence of cell shape on the overall expansion of honeycombs, however, these considered only a small orthotropic expansion of the honeycomb walls rather than an internal pressurization [34]. No explicit investigation of microscopic swelling deformation at less than fully turgid pressures has been provided.…”
Section: Introductionmentioning
confidence: 99%