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Haghpanah B, Papadopoulos J, Mousanezhad D, et al. Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state. Proc Math Phys Eng Sci. 2014;470(2167):20130856doi: 10.1098/rspa.2013.0856.
Haghpanah, B., Papadopoulos, J., Mousanezhad, D., Nayeb-Hashemi, H., & Vaziri, A. (2014). Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state. Proceedings. Mathematical, physical, and engineering sciences, 470(2167), 20130856. https://doi.org/10.1098/rspa.2013.0856
Haghpanah, Babak, et al. "Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state." Proceedings. Mathematical, physical, and engineering sciences vol. 470,2167 (2014): 20130856. doi: https://doi.org/10.1098/rspa.2013.0856
Haghpanah B, Papadopoulos J, Mousanezhad D, Nayeb-Hashemi H, Vaziri A. Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state. Proc Math Phys Eng Sci. 2014 Jul 08;470(2167):20130856. doi: 10.1098/rspa.2013.0856. PMID: 25002823; PMCID: PMC4032554.
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Proc Math Phys Eng Sci. 2014 Jul 08;470(2167):20130856. doi: 10.1098/rspa.2013.0856.

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

Proceedings. Mathematical, physical, and engineering sciences

Babak Haghpanah, Jim Papadopoulos, Davood Mousanezhad, Hamid Nayeb-Hashemi, Ashkan Vaziri

Affiliations

  1. Department of Mechanical and Industrial Engineering , Northeastern University , Boston, MA, USA.

PMID: 25002823 PMCID: PMC4032554 DOI: 10.1098/rspa.2013.0856

Abstract

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.

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

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