Prestress tuning of negative refraction and wave channeling from flexural sources

Abstract

The quest for wave channeling and manipulation has driven a strong research effort on topological and architected materials, capable of propagating localized electromagnetical or mechanical signals. With reference to an elastic structural grid, which elements can sustain both axial and flexural deformations, it is shown that material interfaces can be created with structural properties tuned by prestress states to achieve total reflection, negative refraction, and strongly localized signal channeling. The achievement of a flat lens and topologically localized modes is demonstrated and tunability of the system allows these properties to hold for a broad range of wavelengths. An ingredient to obtain these effects is the use, suggested here and never attempted before, of concentrated pulsating moments. The important aspect of the proposed method is that states of prestress can be easily removed or changed to tune with continuity the propagational characteristics of the medium, so that a new use of vibration channeling and manipulation is envisaged for elastic materials.

arXiv comment10 pages, 5 figures

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Cited by in corpus (10)

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• Dynamics of prestressed elastic lattices: homogenization, instabilities, and strain localization
• Incremental constitutive tensors and strain localization for prestressed elastic lattices: Part II -- incremental dynamics
• Unfolding engineering metamaterials design: relaxed micromorphic modeling of large-scale acoustic meta-structures
• Metamaterial shields for inner protection and outer tuning through a relaxed micromorphic approach
• Tensile material instabilities in elastic beam lattices lead to a bounded stability domain
• The elastica sling
• The strange case of Negative Reflection
• Effect of prestress on phononic band gaps induced by inertial amplification