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Research Papers

Tailorable Thermal Expansion of Lightweight and Robust Dual-Constituent Triangular Lattice Material

[+] Author and Article Information
Kai Wei

State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
Hunan University,
Changsha 410082, China
e-mail: weikai@pku.edu.cn

Yong Peng

State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
Hunan University,
Changsha 410082, China
e-mail: pengyong302@hnu.edu.cn

Weibin Wen

State Key Laboratory for Turbulence
and Complex Systems,
College of Engineering,
Peking University,
Beijing 100871, China
e-mail: wenwbin@126.com

Yongmao Pei

State Key Laboratory for Turbulence
and Complex Systems,
College of Engineering,
Peking University,
Beijing 100871, China
e-mail: peiym@pku.edu.cn

Daining Fang

Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, China e-mail: fangdn@pku.edu.cn

1Corresponding authors.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received July 17, 2017; final manuscript received August 10, 2017; published online August 30, 2017. Editor: Yonggang Huang.

J. Appl. Mech 84(10), 101006 (Aug 30, 2017) (9 pages) Paper No: JAM-17-1380; doi: 10.1115/1.4037589 History: Received July 17, 2017; Revised August 10, 2017

Current studies on tailoring the coefficient of thermal expansion (CTE) of materials focused on either exploring the composition of the bulk material or the design of composites which strongly depend on a few negative CTE materials or fibers. In this work, an approach to achieve a wide range of tailorable CTEs through a dual-constituent triangular lattice material is studied. Theoretical analyses explicitly reveal that through rational arrangement of commonly available positive CTE constituents, tailorable CTEs, including negative, zero, and large positive CTEs can be easily achieved. We experimentally demonstrate this approach through CTE measurements of the specimens, which were exclusively fabricated from common alloys. The triangular lattice material fabricated from positive CTE alloys is shown to yield large positive (41.6 ppm/°C), near-zero (1.9 ppm/°C), and negative (−32.9 ppm/°C) CTEs. An analysis of the collapse strength and stiffness ensures the robust mechanical properties. Moreover, hierarchal triangular lattice material is proposed, and with certain constituents, wide range of tailorable CTEs can be easily obtained through the rationally hierarchal structure design. The triangular lattice material presented here integrates tailorable CTEs, lightweight characteristic, and robust mechanical properties, and is very promising for engineering applications where precise control of thermally induced expansion is in urgently needed.

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Figures

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Fig. 1

(a) Dual-constituent triangular lattice material, (b) thermal deformation mechanism (decrease in the vertical direction: dh<0), and (c) the symmetrical model (element numbers with circles outside and nodal numbers without)

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Fig. 2

Zero and negative CTE are available with α1>α2(α1/α2=10), while large positive CTE are available with α1>α2(α1/α2=0.05)

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Fig. 3

Influence of E1/E2 on the αv/α2 (α1/α2=10, β=30 deg)

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Fig. 4

(a) Arrangement of the specimen: Al base and Invar hypotenuse members and (b) experimentally measured vertical CTE of the specimen versus temperature

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Fig. 5

(a) Arrangement of the specimen: Al base and St hypotenuse members and (b) experimentally measured vertical CTE of the specimen versus temperature

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Fig. 6

(a) Arrangement of the specimen: Invar base and Al hypotenuse members and (b) experimentally measured vertical CTE of the specimen versus temperature

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Fig. 7

(a) The calculation model with in-plane loads. The collapse surfaces in the stress spaces of (b) (σxx,σyy), (c) (σxx,σxy), and (d) (σxx,σxy).

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Fig. 8

(a) Elastic stiffness Exx∗/E1 and Eyy∗/E1 and (b) shear stiffness Gxy∗/E1

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Fig. 9

Hierarchal design of the triangular dual-constituent lattice material for wide range of thermal expansion

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Fig. 10

The wide range of tailorable CTEs for the hierarchal triangular dual-constituent lattice material: (a) PTE and (b) NTE

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Fig. 11

Ashby plot and comparison of the range for thermal expansion versus density of engineering available materials

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