Design of manufacturable 3D extremal elastic microstructure

By Erik Andreassen, Boyan S. Lazarov, Ole Sigmund. 2014

343 citations recorded by the source corpus.

Abstract We present a method to design manufacturable extremal elastic materials. Extremal materials can possess interesting properties such as a negative Poisson’s ratio. The effective properties of the obtained microstructures are shown to be close to the theoretical limit given by mathematical bounds, and the deviations are due to the imposed manufacturing constraints. The designs are generated using topology optimization. Due to high resolution and the imposed robustness requirement they are manufacturable without any need for post-processing. This has been validated by the manufacturing of an isotropic material with a Poisson’s ratio of ν = - 0.5 and a bulk modulus of 0.2% times the solid base material’s bulk modulus.

Subfields: Building and Construction, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/74dd1cdde521956444411aca6382a344cdcc12d0

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In Building and Construction

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing (2014, neutral): “[7–9]).”
Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures (2016, background): “Note that while this constraint restricts the percentage of the solid/empty voxels, it does not prescribe which specific voxels are solid or empty: Determining the specific solid and empty voxels is left to the optimizer, under the goal of reducing the objective function.”
Length scale and manufacturability in density-based topology optimization (2016, background): “The full cycle has been demonstrated in the design of auxetic materials in [14].”
Topology optimization for functionally graded cellular composites with metamaterials by level sets (2018, methodology): “Many topological design methods have been developed to create microstructures with extreme or expected properties [13-16, 44-51].”
Additive manufacturing-enabled design theory and methodology: a critical review (2015, positive): “AM-related structure design optimization methods can be classified by different objectives, such as optimization for stiffness and strength [65–68], compliance [69, 70], and manufacturability [33].”
Homogenization of periodic hexa- and tetrachiral cellular solids (2014, positive): “The design of auxetic materials is mostly addressed to periodic cellular composites (Cadman et al., 2013) through the analysis and optimization of periodic manufacturable cells (Andreassen et al., 2014, Xu et al., 1999).”
Current and future trends in topology optimization for additive manufacturing (2018, methodology): “Andersen also realized a negative Poisson’s ratio whose value reached −0.5 by Nylon selective laser melting approach (Andreassen et al. 2014).”
Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis (2018, methodology): “The method has been successfully applied to multiple design problems, including materials with extremal thermal properties [26], extremal elastic properties such as negative Poisson’s ratio [27, 28, 29] or maximal bulk and shear modulus [30, 31], and for materials with vibration mitigation abilities”
Systematic design of 3D auxetic lattice materials with programmable Poisson’s ratio for finite strains (2018, background): “3D auxetic materials have been fabricated using metal, polyamide and rubber [25, 37, 38, 39, 40].”
An identification method for enclosed voids restriction in manufacturability design for additive manufacturing structures (2015, background): “However, it should be noted that topology optimization results are often complicated and it is not optimal for them to be impractical or unrealizable from traditional engineering or fabrication viewpoint [27].”