Architectural design in stretch-formed microtruss composites
Introduction
Cellular metals, i.e. hybrids of space (air) and metal, are an attractive option for weight-limited engineering applications. Microtruss cellular materials can be used as the core in lightweight sandwich panel structures having multifunctional characteristics such as load bearing [1], [2], [3], [4], impact energy absorption [5], pressure and fluid flow control [6], and heat dissipation [7]. These microtruss materials can be fabricated using techniques such as lithography [4], [8], rapid prototyping and investment casting [2], [3], [9], [10], weaving [11], [12], diffusion bonding and brazing [13], [14], [15], and sheet forming [16], [17], [18], [19], see reviews by Wadley [20]. Microtruss materials are specifically designed such that externally applied loads are resolved axially along the internal struts, resulting in failure mechanisms such as inelastic buckling [21], [22]. As a result, at a given relative density, the stiffness and strength of microtruss materials can be up to an order of magnitude higher than those of conventional metal foams which fail in bending [21], [22].
The open and low-relative density internal architecture of microtruss cellular metals, combined with the non-line-of-sight characteristics of electrodeposition also allows them to be reinforced by thin sleeves of nanocrystalline metal [23], [24], [25]. Nanocrystalline materials exhibit large strength increases by virtue of grain size reduction to the nm-scale [26]. By controlling the bath chemistry and the cathodic current waveform, the nucleation of new grains can be favoured over the growth of existing grains [27], allowing an ultra-fine and equiaxed nanostructure to be deposited. In the case of Ni, decreasing the grain size from the μm-scale to nm-scale can result in an order of magnitude yield strength increase (e.g. from 86 MPa [28] to 910 MPa [29] when the grain size decreases from 10 μm to 10 nm). In effect, reinforcing a conventional microtruss metal by electrodeposition creates a metal/metal cellular composite in which the ultra-high strength nanocrystalline sleeve forms an interconnected network of conformal nanocrystalline tubes that controls the overall mechanical properties.
Nanocrystalline electrodeposition also adds a new dimension of complexity to the architectural/material design. While previous studies have outlined the sequence of relevant failure mechanisms such as inelastic buckling, sleeve/core delamination, sleeve fracture, and local wrinkling [23], [24], [25], none of these have addressed the critical question of architectural/material optimization in the presence of this additional degree of freedom. The purpose of the present study is to set up a framework for the optimal design of stretch-formed metal/metal microtruss composites. At the same time, it addresses the key questions of when it is beneficial to reinforce by electrodeposition, and what is the optimal truss angle for a given combination of starting material, reinforcing material, sheet geometry, and coating thickness.
Section snippets
Experimental
AISI-SAE 1006 low carbon steel (LCS) perforated sheets (sheet thickness ti = 0.64 ± 0.02 mm) were purchased from McNichols Perforated Products (Altanta, GA). The perforation pattern had square holes (of size li = 5.10 mm) punched on a square lattice (of size L = 6.36 mm) creating an open area fraction of Φ = 0.64; Fig. 1a shows a schematic diagram of the starting sheet material. The LCS sheets were annealed at 800 °C for 15 min and then air cooled before forming into pyramidal microtrusses, after Bouwhuis et
Results and discussion
The architecture of stretch-formed microtrusses is specified by the geometry of the starting perforated sheet and the final forming angle achieved during fabrication (Fig. 1). During fabrication, the internal struts are elongated and their cross-sectional areas are reduced. The strut length increases from the initial value (li) as:where θ is the internal truss angle. By assuming a constant strut volume and a uniform reduction in cross-sectional dimension, the strut width and
Conclusions
The optimal architecture of microtruss composites is a function of the thickness of the reinforcing nanocrystalline coating, meaning that in order to optimize the strength of the final composite, the starting microtruss architecture should be initially sub-optimal. In the case of the material combination investigated experimentally, the electrodeposited nanocrystalline Ni–35 wt%Fe had higher yield strength but lower elastic modulus than the starting low carbon steel core. While it is always
Acknowledgements
The authors would like to acknowledge the contributions of Integran Technologies, Inc. The authors would like to also thank M. Suralvo, E. Bele, Dr. B. Bouwhuis, A. Lausic, C. Kwan, S. Boccia, and Dr. D. Grozea of the University of Toronto for their contributions. Finally, financial support from the Natural Sciences and Engineering Research Council of Canada (NSERC) is gratefully acknowledged.
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