4.5 Article

Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state

Publisher

ROYAL SOC
DOI: 10.1098/rspa.2013.0856

Keywords

instability; cellular structure; beam-column; in-plane loading

Funding

  1. Qatar National Research Foundation (QNRF) [NPRP 09-145-2-061, NPRP 5-1298-2-560]
  2. NSF CMMI [1149750]
  3. Directorate For Engineering
  4. Div Of Civil, Mechanical, & Manufact Inn [1149750] Funding Source: National Science Foundation

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An approach to obtain analytical closed-form expressions for the macroscopic 'buckling strength' of various two-dimensional cellular structures is presented. The method is based on classical beam-column end-moment behaviour expressed in a matrix form. It is applied to sample honeycombs with square, triangular and hexagonal unit cells to determine their buckling strength under a general macroscopic in-plane stress state. The results were verified using finite-element Eigenvalue analysis.

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