On design of multi-functional microstructural materials

Cadman, Joseph; Zhou, Shiwei; Chen, Yuhang; Li, Qing

doi:10.1007/s10853-012-6643-4

Cited by 183 publications

(85 citation statements)

References 196 publications

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“…Recent examples are given by Coelho et al (2011), who demonstrate how a multi-scale formulation can be used to design a trabecular bone section, and Diaz and Sigmund (2010), who apply topology optimization to design a so-called metamaterial with negative permeability (electromagnetic). A thorough review of microstructure design by topology optimization is given by Cadman et al (2012).…”

Section: Introductionmentioning

confidence: 99%

Design of manufacturable 3D extremal elastic microstructure

Andreassen

Lazarov

Sigmund

2014

Mechanics of Materials

281

137

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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.

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Section: Introductionmentioning

confidence: 99%

Design of manufacturable 3D extremal elastic microstructure

Andreassen

Lazarov

Sigmund

2014

Mechanics of Materials

281

137

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“…Much of the literature focuses on identifying microstructures with extremal effective behavior, i.e., with effective elasticity properties at the boundary of the achievable zone for a given class of composites [Allaire 2002;Cherkaev 2000;Milton 2002]. Many classes of extremal structures were described (see, e.g., [Cadman et al 2013]), however most of these classes-e.g. sequentially laminated microstructures [Avellaneda 1987] and microstructures based on inclusions [Grabovsky and Kohn 1995;Liu et al 2007]-are either difficult or impossible to manufacture at this time.…”

Section: Related Workmentioning

confidence: 99%

Elastic textures for additive fabrication

et al. 2015

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Figure 1: Six basic elastic textures are used to obtain a large range of homogenized isotropic material properties. A 3 × 3 × 1 tiling of each pattern is shown, along with rendered (left) and fabricated (right) cell geometry below. The naming convention is explained in Section 4. AbstractWe introduce elastic textures: a set of parametric, tileable, printable, cubic patterns achieving a broad range of elastic material properties: the softest pattern is over a thousand times softer than the stiffest, and the Poisson's ratios range from below zero to nearly 0.5. Using a combinatorial search over topologies followed by shape optimization, we explore a wide space of truss-like, symmetric 3D patterns to obtain a small family. This pattern family can be printed without internal support structure on a single-material 3D printer and can be used to fabricate objects with prescribed mechanical behavior. The family can be extended easily to create anisotropic patterns with target orthotropic properties. We demonstrate that our elastic textures are able to achieve a user-supplied varying material property distribution. We also present a material optimization algorithm to choose material properties at each point within an object to best fit a target deformation under a prescribed scenario. We show that, by fabricating these spatially varying materials with elastic textures, the desired behavior is achieved.

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“…The Hashin-Shtrikman bounds (HS bounds) are one of the most common bounds, and they are derived based on the variational principles (Wegner and Gibson 2000). The Hashin-Shtrikman bounds are the tightest bounds (Cadman et al 2013). The effective property of a two-phase isotropic composite is bounded by these bounds (Torquato et al 2003), such that:…”

Section: Analytical Models For Calculating Effective Propertiesmentioning

confidence: 99%

Thermo-Electro-Mechanical Properties of Interpenetrating Phase Composites with Periodic Architectured Reinforcements

Al‐Rub

Abueidda

Dalaq

2015

Advanced Structured Materials

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In this study, the multifunctional properties (thermal, electric, and mechanical properties) of a new type of three-dimensional (3D) periodic architectured interpenetrating phase composites (IPCs) are investigated computationally. These new IPCs are created using two interconnected, bicontinuous, and intertwined material phases. The inner reinforcing phase takes the shape of the 3D morphology (architecture) of the mathematically-known triply periodic minimal surfaces (TPMS). The TPMS reinforcements are 3D solid sheet networks with a certain volume fraction and architecture. The interconnectivity of the proposed TPMS-based IPCs provide a novel way of creating multifunctional composites with superior properties. In this study, the effect of six well-known TPMS architectures of various volume fractions on the thermal/electrical conductivity and Young's modulus of the IPCs is investigated using the finite element analysis of a unit cell with periodic boundary conditions. The contrast effect (high and low) between the conductivities and Young's modulus of the two phases is also investigated. The calculated effective properties are compared with some analytical bounds. The proposed TPMS-IPCs possess effective properties close to the upper Hashin-Shtrikman bounds. It is also shown that the effect of TPMS architecture decreases as the contrast decreases. Finally, the manufacturability of these new TPMS-IPCs is demonstrated through using 3D printing technology.

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On design of multi-functional microstructural materials

Cited by 183 publications

References 196 publications

Design of manufacturable 3D extremal elastic microstructure

Design of manufacturable 3D extremal elastic microstructure

Elastic textures for additive fabrication

Thermo-Electro-Mechanical Properties of Interpenetrating Phase Composites with Periodic Architectured Reinforcements

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