Mechanics of Cairo lattices

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master_Moncy_Aakash_2017.pdf (8.48 MB)

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Insinööritieteiden korkeakoulu | Master's thesis
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Authors

Moncy, Aakash

Date

2017-09-25

Department

Major/Subject

Mechanical Engineering

Mcode

IA3027

Degree programme

Master’s Programme in Mechanical Engineering

Language

en

Pages

77+8

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Abstract

A tessellation made up of equal sided pentagons, called the Cairo lattice, is being investigated for its applicability as a structural 2D planar lattice. The strength and the stiffness for the infinite lattice has been formulated where the lattice is found to be stretching dominated under uni-axial stress fields. For any other type of external loading, the Cairo lattice is expected to be bending dominated. The analytical formulations have been verified with FE simulations of a unit cell. Experiments with 3D printed PLA specimens have been conducted on the finite Cairo lattice where the existence of strain producing mechanisms were discovered. A patching scheme is found to reverse the softened response of the finite Cairo lattice by inhibiting these strain producing mechanisms. A matrix method has been utilized for studying the states of self-stress and mechanisms to further investigate the rigidity of the Cairo lattice without patching. Under periodicity, the Cairo tessellation has a higher elastic buckling strength than the Kagome and the triangular lattice by 4.8% and 76% respectively. The Cairo lattice is also stronger than the diamond honeycomb, but has less stiffness compared to all these three tessellations.

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Supervisor

St-Pierre, Luc

Thesis advisor

St-Pierre, Luc

Keywords

Cairo tessellation, lattice materials, finite element analysis, additive manufacturing, mechanics and structural analysis, cellular materials

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https://urn.fi/URN:NBN:fi:aalto-201710307326

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[dipl] Insinööritieteiden korkeakoulu / ENG