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Research Papers

A Unit Cell Design Guideline Development Method for Meso-Scaled Periodic Cellular Material Structures

[+] Author and Article Information
Mohammad Fazelpour

Assistant Clinical Professor
First-Year Innovation and Research Experience,
University of Maryland,
College Park, MD 20742
e-mail: mfazelp@umd.edu

Prabhu Shankar

Adjunct Assistant Professor
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634,
e-mail: pshankar@jlg.com

Joshua D. Summers

Professor
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
e-mail: jsummer@clemson.edu

1Corresponding author.

Contributed by Materials Division of ASME for publication in the Journal of Engineering Materials and Technology. Manuscript received July 3, 2018; final manuscript received March 15, 2019; published online April 5, 2019. Assoc. Editor: Erdogan Madenci.

J. Eng. Mater. Technol 141(4), 041004 (Apr 05, 2019) (12 pages) Paper No: MATS-18-1197; doi: 10.1115/1.4043271 History: Received July 03, 2018; Accepted March 18, 2019

Much research has been conducted on effective elastic properties of meso-scaled periodic cellular material (MPCM) structures; however, there is only limited research providing guidelines on how to develop improved unit cell (UC) topologies and shapes for a given set of loading requirements and conditions. This paper presents guidelines to improve the shear flexibility of the MPCMs while maintaining the effective shear modules by changing the topology or the shape of a unit cell. The guidelines are intended to use design knowledge for helping engineers by providing recommendations at any stage of the design process. In this paper, the guidelines are developed by changing topology characteristics to achieve a desired effective property of the MPCM structure. The effects of individual members, such as side connection, transverse connection, vertical legs, and curved beams of MPCM structure, when subjected to the in-plane shear loading are investigated through conducting a set of numerical simulation on UCs with similar topology and shape characteristics. Based on the simulation results, the unit cell design guidelines are developed to provide recommendations to engineers on improving the shear flexure of MPCM during the design process. Ultimately, a unit cell design guideline development method is offered and demonstrated by developing two new design guidelines.

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Figures

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Fig. 1

Different MPCMs and their UCs. UCs are highlighted with a dashed line.

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Fig. 2

Nonpneumatic tire with a solid shear beam [47]

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Fig. 3

The evolution of meso-scaled periodic cellular materials for the Tweel project [16]

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Fig. 4

(a) Side connection between two adjacent circles and (b) two disconnected circles

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Fig. 5

Abstraction illustration for disconnecting the unit cells from the side connection—guideline 1

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Fig. 6

Guideline 1 applies to hexagonal honeycomb, chiral, and octagon through disconnecting the UCs from side connection. The type of connections can be either vertex or edge.

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Fig. 7

Examples of transverse connections for hexagonal honeycomb and square cells with a dashed line

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Fig. 8

Removing the transverse connections (highlighted) leads to a structure that cannot carry the shear load

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Fig. 9

Abstraction illustration for removing the transverse connections—guideline 2

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Fig. 10

Guideline 2 applies to hexagonal honeycomb and square cells with a mix of triangle, rhumbas, and octagon through removing the transverse connections of the UCs

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Fig. 11

Top nodes on hexagonal honeycomb and the direction of displacement boundary condition

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Fig. 12

Guideline 1 applies to a block of 10 by 10 connected circles (left) lead to 10 by 10 disconnected circles (right)

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Fig. 13

Unit cell design guideline development method. GL, guideline; UC, unit cell.

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Fig. 14

An illustration of the fully documented guideline 1

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Fig. 15

Hexagonal honeycomb with vertical legs as initial UC on the left and without legs on the right

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Fig. 16

Guideline 3 applies to circle, rhombus, and octagon through removing the vertical legs of UCs

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Fig. 17

Abstraction illustration for removing the top and bottom legs—guideline 3

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Fig. 18

Guideline 4 applied to hexagonal, octagon, rhombus, and octagon with legs through replacing the UCs with different curved beams

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Fig. 19

Abstraction illustration for replacing the UC with curved beams—guideline 4

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