Research Papers

Design and Optimization of a Shape Memory Alloy-Based Self-Folding Sheet

[+] Author and Article Information
Edwin Peraza-Hernandez

e-mail: eperaza@neo.tamu.edu

Darren Hartl

e-mail: darren.hartl@tamu.edu
Department of Aerospace Engineering,
Texas A&M University,
College Station, TX 77843

Edgar Galvan

e-mail: e_galvan@tamu.edu

Richard Malak

e-mail: rmalak@tamu.edu
Design Systems Laboratory,
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77843

1Corresponding author.

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 11, 2013; final manuscript received June 28, 2013; published online October 3, 2013. Assoc. Editor: Mary Frecker.

J. Mech. Des 135(11), 111007 (Oct 03, 2013) (11 pages) Paper No: MD-13-1078; doi: 10.1115/1.4025382 History: Received February 11, 2013; Revised June 28, 2013

Origami engineering—the practice of creating useful three-dimensional structures through folding and fold-like operations on two-dimensional building-blocks—has the potential to impact several areas of design and manufacturing. In this article, we study a new concept for a self-folding system. It consists of an active, self-morphing laminate that includes two meshes of thermally-actuated shape memory alloy (SMA) wire separated by a compliant passive layer. The goal of this article is to analyze the folding behavior and examine key engineering tradeoffs associated with the proposed system. We consider the impact of several design variables including mesh wire thickness, mesh wire spacing, thickness of the insulating elastomer layer, and heating power. Response parameters of interest include effective folding angle, maximum von Mises stress in the SMA, maximum temperature in the SMA, maximum temperature in the elastomer, and radius of curvature at the fold line. We identify an optimized physical realization for maximizing folding capability under mechanical and thermal failure constraints. Furthermore, we conclude that the proposed self-folding system is capable of achieving folds of significant magnitude (as measured by the effective folding angle) as required to create useful 3D structures.

Copyright © 2013 by ASME
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Fig. 1

Demonstration of the reconfigurable self-folding concept. A sheet with no pre-engineered folds is deformed along a set of lines as determined by heating location only.

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Fig. 2

Schematics of film and mesh design (aligned and staggered meshes) for foldable sheets

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Fig. 3

Schematic of the folding sheet model showing boundary conditions

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Fig. 4

Smooth thermal load profile

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Fig. 5

Schematic of the mesh-based folding sheet showing input parameters

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Fig. 6

Schematic of effective sheet lift angle ϕ

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Fig. 7

Partial scatter-plot matrix demonstrating the relationship among the design variables and output parameters taken two at a time. The relationship between the design variables themselves is not shown. Only feasible designs are reported in the plots.

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Fig. 8

Partial DOE results. The solid line in each subplot indicates the Pareto frontier in the case where the decision maker is only considering the parameters indicated on the subplot axes. It is assumed that the decision maker prefers to minimize R, σmax and TmaxSMA, and θ. Only feasible designs are reported in the plots.

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Fig. 11

Optimized folding sheet configurations at the end of the heating period. Input and output parameters for this model are presented in Table 4. The contour plots show temperature and martensitic volume fraction. The symmetric and periodic analysis domain (Fig. 3) has been mirrored and patterned for the sake of visualization.

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Fig. 10

Contour plot of the minimum achieved R (m) as a function of P and TmaxSMA

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Fig. 9

Contour plot of the minimum achieved θ (deg) as a function of wire thickness and elastomer thickness

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Fig. 14

Evolution of folding angle with time for the staggered mesh design and the aligned mesh design

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Fig. 13

Folding sheet configurations at different times during the multiple folding operations. The contour plots show temperature and martensitic volume fraction. The symmetric and periodic analysis domain (Fig. 3) has been mirrored and patterned for the sake of visualization.

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Fig. 12

Evolution in effective folding angle θ for the compound folds case study



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