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Wave-filtering properties of elastically-asymmetric architected materials

Abstract : We propose a class of metamaterials possessing an arbitrary strong elastic asymmetry, which emerges from contact interaction introduced in their architecture. The material can be made stiff in tension and soft in compression or vice versa. This asymmetry results in different wave celer-ities of tensile and compressive components of elastic waves. The faster component overtakes the slower one and results in their dissipative annihilation through high-frequency energy cascades. We discuss the mechanism of this damping, efficient signal-absorbing assemblies, and relevant material architectures. PACS numbers: 46.55.+d,81.05.Zx,46.40.Cd,46.40.Ff Mechanical behaviour of elastically asymmetric materials depends on the "directionality" of the strain tensor, i.e. on the signs of principal strains. For certain orien-tations σ(ε) = −σ(−ε), where σ is the Cauchy stress tensor and ε infinitesimal strain tensors. Therefore, the Young's, shear and bulk moduli of such materials can depend on the loading direction. In addition to this asymmetry, elastic anisotropy can come in play. Such materials are rather common in nature and include gran-ular materials, soils, materials with internal flaws (e.g. cracked rocks, concrete) and others [1]. In soft matter , living cells, due to elastic asymmetry of fibrin and collagen, are able to self-adjust in response to external loads [2-5]. However, for most solid materials the elastic asymmetry is rather small and is hard to control. The theoretical studies of quasi-static mechanical behaviour of such materials can be found in [1, 6-9]. The elastic wave propagation in asymmetric media was studied in [10-13]. Vibrational analyses of materials with internal impacts, which render them elastically asymmetric, were conducted in [14-16].
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https://hal.archives-ouvertes.fr/hal-02394159
Contributor : Vladislav Yastrebov <>
Submitted on : Wednesday, December 4, 2019 - 4:18:11 PM
Last modification on : Wednesday, October 14, 2020 - 3:52:48 AM
Long-term archiving on: : Thursday, March 5, 2020 - 8:10:14 PM

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  • HAL Id : hal-02394159, version 1

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Vladislav Yastrebov. Wave-filtering properties of elastically-asymmetric architected materials. 2019. ⟨hal-02394159⟩

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