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The optimal density of cellular solids in axial tension

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  • L. Angela Mihai
  • Khulud Alayyash
  • Hayley Wyatt

Abstract

For cellular bodies with uniform cell size, wall thickness, and shape, an important question is whether the same volume of material has the same effect when arranged as many small cells or as fewer large cells. To answer this question, for finite element models of periodic structures of Mooney-type material with different structural geometry and subject to large strain deformations, we identify a nonlinear elastic modulus as the ratio between the mean effective stress and the mean effective strain in the solid cell walls, and show that this modulus increases when the thickness of the walls increases, as well as when the number of cells increases while the volume of solid material remains fixed. Since, under the specified conditions, this nonlinear elastic modulus increases also as the corresponding mean stress increases, either the mean modulus or the mean stress can be employed as indicator when the optimum wall thickness or number of cells is sought.

Suggested Citation

  • L. Angela Mihai & Khulud Alayyash & Hayley Wyatt, 2017. "The optimal density of cellular solids in axial tension," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 20(7), pages 701-713, May.
    • Handle: RePEc:taf:gcmbxx:v:20:y:2017:i:7:p:701-713
    DOI: 10.1080/10255842.2017.1292352
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    References listed on IDEAS

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    1. Huimin Zhang & Frédéric Landmann & Hala Zahreddine & David Rodriguez & Marc Koch & Michel Labouesse, 2011. "A tension-induced mechanotransduction pathway promotes epithelial morphogenesis," Nature, Nature, vol. 471(7336), pages 99-103, March.
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