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Research Papers

Modulating Elastic Band Gap Structure in Layered Soft Composites Using Sacrificial Interfaces

[+] Author and Article Information
Qianli Chen, Ahmed Elbanna

Department of Civil and Environmental
Engineering,
University of Illinois at Urbana Champaign,
Champaign, IL 61801

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received June 13, 2016; final manuscript received August 23, 2016; published online September 9, 2016. Assoc. Editor: Kyung-Suk Kim.

J. Appl. Mech 83(11), 111009 (Sep 09, 2016) (8 pages) Paper No: JAM-16-1293; doi: 10.1115/1.4034537 History: Received June 13, 2016; Revised August 23, 2016

A wide range of engineered and natural composites exhibit a layered architecture whereby individual building blocks are assembled layer by layer using cohesive interfaces. We present a novel mechanism for evolving acoustic band gap structure in a model system of these composites through patterning the microstructure in a way that triggers nonplanar interfacial deformations between the layers as they are stretched. Through the controlled deformation and growth of interlayer channels under macroscopic tension, we observe the emergence of multiple wide band gaps due to Bragg diffraction and local resonance. We describe these phenomena in details for three example microstructures and discuss the implications of our approach for harnessing controlled deformation in modulating band gap properties of composite materials.

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Figures

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Fig. 1

Representative assembly of (a) composite with nonstaggered aligned inclusion pattern, (b) composite with staggered identical inclusion pattern, and (c) composite with staggered symmetric inclusion pattern (cohesive interfaces do not exist in monolithic models). The corresponding unit cells are shown to the right, while the deformed shapes of the composite under uniaxial stretch along x-axis in Fig. 1 are shown below the undeformed ones. Overall dimensions are marked in the unit cell in Fig. 1(a). Inclusion dimensions and spacing are the same in all cases.

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Fig. 2

Dispersion plots for three monolithic composites corresponding to the three inclusion patterns illustrated in Fig. 1 ((a) nonstaggered, (b) staggered identical, and (c) staggered symmetric) and corresponding Brillouin zones

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Fig. 3

Dispersion relations (blue lines), band gap (gray region), and critical eigen-modes of the three composites fibril systems corresponding to the three inclusion patterns ((a) nonstaggered, (b) staggered identical, and (c) staggered symmetric) at stretch level of 1.00/1.01 and 1.20

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Fig. 4

Band gap evolutions corresponding to three inclusion patterns ((a) nonstaggered, (b) staggered identical, and (c) staggered symmetric)

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Fig. 5

Transmission ratio of composite fibril system corresponding to the case (b) of staggered identical inclusion pattern under: (a) longitudinal wave and (b) shear wave

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Fig. 6

Bilinear cohesive law of inter-fibril interaction

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Fig. 7

Band gap evolution and dispersion plots corresponding to inclusion patterns (a) of nonstaggered pattern in terms of cohesive layer equivalent Young's modulus

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Fig. 8

First Brillouin zone of periodic composite fibril unit cell

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