Polytope Sector-Based Synthesis and Analysis of Microstructural Architectures With Tunable Thermal Conductivity and Expansion

Hopkins, Jonathan B.; Song, Yuanping; Lee, Howon; Fang, Nicholas X.; Spadaccini, Christopher M.

doi:10.1115/1.4032809

Cited by 28 publications

(16 citation statements)

References 29 publications

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“…Wei et al (2016) designed six types of periodic planar lattices inspired by rotational symmetry in crystallography and presented an analytical solution for the effective CTE and biaxial stiffness of pin-jointed planar lattices. Hopkins et al (2016) designed 2-D and 3-D microstructural architectures that can be tuned to achieve specific thermal expansion coefficients from positive to negative.…”

Section: Introductionmentioning

confidence: 99%

Metamaterials with negative Poisson’s ratio and non-positive thermal expansion

Gao

2017

Composite Structures

163

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Four metallic metamaterials with tailorable mechanical properties are designed using bimaterial star-shaped re-entrant planar lattice structures, which do not involve pins, adhesive, welding or pressure-fit joints and can be fabricated through laser-based additive manufacturing. Three length parameters, one angle parameter and three material combinations are used as adjustable design parameters to explore structure-property relations. For each of the four designed metamaterials, the effects of the design parameters on the Poisson's ratio (PR), coefficient of thermal expansion (CTE), Young's modulus and relative density are systematically investigated using unit cell-based finite element simulations that incorporate periodic boundary conditions. It is found that the bi-material lattice structures can be tailored to obtain 3-D printable metallic metamaterials with positive, near-zero or negative PR and CTE together with an uncompromised Young's modulus. In particular, it is shown that metamaterial # 1 can exhibit both a negative PR and a non-positive CTE simultaneously. These metallic metamaterials can find applications in structures or devices such as antennas and precision instruments to reduce thermomechanical stresses and extend service lives.

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Section: Introductionmentioning

confidence: 99%

Metamaterials with negative Poisson’s ratio and non-positive thermal expansion

Gao

2017

Composite Structures

163

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“…Theoretically, the thermal length-expansion coefficient and the Hall coefficient have been discussed1231415161718192021. Regarding the Hall coefficient, even one constituent material A and voids within suffice20.…”

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confidence: 99%

“…Concrete blueprints for three-dimensional structures showing isotropic behavior were suggested later14. Refinements and two-dimensional macroscopic model structures composed of bimetallic beams were published as well1516171822. Discussed theoretically a related two-dimensional structure composed of bimetallic strips showing a negative effective compressibility (at fixed temperature).…”

mentioning

confidence: 99%

Micro-Structured Two-Component 3D Metamaterials with Negative Thermal-Expansion Coefficient from Positive Constituents

Kadic

Naber

et al. 2017

Sci Rep

148

126

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Controlling the thermal expansion of materials is of great technological importance. Uncontrolled thermal expansion can lead to failure or irreversible destruction of structures and devices. In ordinary crystals, thermal expansion is governed by the asymmetry of the microscopic binding potential, which cannot be adjusted easily. In artificial crystals called metamaterials, thermal expansion can be controlled by structure. Here, following previous theoretical work, we fabricate three-dimensional (3D) two-component polymer micro-lattices by using gray-tone laser lithography. We perform cross-correlation analysis of optical microscopy images taken at different sample temperatures. The derived displacement-vector field reveals that the thermal expansion and resulting bending of the bi-material beams leads to a rotation of the 3D chiral crosses arranged onto a 3D checkerboard pattern within one metamaterial unit cell. These rotations can compensate the expansion of the all positive constituents, leading to an effectively near-zero thermal length-expansion coefficient, or over-compensate the expansion, leading to an effectively negative thermal length-expansion coefficient. This evidences a striking level of thermal-expansion control.

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“…Triangular and square motifs are natural candidates for building the first hierarchical level of 2D PXCMs (Fig. 1(d)) because of they can be tessellated to cover a plane 25,26 . However, the choice of the support structures for these building blocks is not straightforward.…”

Section: Design Considerationsmentioning

confidence: 99%

Energy dissipation in functionally two-dimensional phase transforming cellular materials

Zhang

Restrepo

Velay-Lizancos

et al. 2019

Sci Rep

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Phase Transforming Cellular Materials (PXCMs) are periodic cellular materials whose unit cells exhibit multiple stable or meta-stable configurations. Transitions between the various (meta-) stable configurations at the unit cell level enable these materials to exhibit reusable solid state energy dissipation. This energy dissipation arises from the storage and non-equilibrium release of strain energy accompanying the limit point traversals underlying these transitions. The material deformation is fully recoverable, and thus the material can be reused to absorb and dissipate energy multiple times. In this work, we present two designs for functionally two-dimensional PXCMs: the S-type with four axes of reflectional symmetry based on a square motif and, the T-type with six axes of symmetry based on a triangular motif. We employ experiments and simulations to understand the various mechanisms that are triggered under multiaxial loading conditions. Our numerical and experimental results indicate that these materials exhibit similar solid state energy dissipation for loads applied along the various axes of reflectional symmetry of the material. The specific energy dissipation capacity of the T-type is slightly greater and less sensitive to the loading direction than the S-type under the most of loading directions. However, both types of material are shown to be very effective in dissipating energy.

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Polytope Sector-Based Synthesis and Analysis of Microstructural Architectures With Tunable Thermal Conductivity and Expansion

Cited by 28 publications

References 29 publications

Metamaterials with negative Poisson’s ratio and non-positive thermal expansion

Metamaterials with negative Poisson’s ratio and non-positive thermal expansion

Micro-Structured Two-Component 3D Metamaterials with Negative Thermal-Expansion Coefficient from Positive Constituents

Energy dissipation in functionally two-dimensional phase transforming cellular materials

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