Nonlinear Localized Strain Waves in a 2D Medium with Microstructure

Ерофеев, В. И.; Kazhaev, V. V.; Pavlov, I. S.

doi:10.1007/978-3-642-36394-8_6

Cited by 5 publications

(1 citation statement)

References 13 publications

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“…Consequently, many papers on granular lattices of two or more dimensions are concerned with transient effects after a granular lattice (or more general packing) is struck [1, 13, 15, 41, 73, 118-121, 143, 150, 151, 165]; this is relevant for impact mitigation applications. Quasicontinuum approaches were explored in 2D lattices with rotation in [57]. Additionally, structured granular composites, which are networks of 1D chains arranged in 3D space, exhibit exponential stress decay [122] and can act as effective energy-dispersion mechanisms [58].…”

Section: Packing Geometries and Transient Dynamicsmentioning

confidence: 99%

Nonlinear coherent structures in granular crystals

Chong

Porter

Kevrekidis

et al. 2017

J. Phys.: Condens. Matter

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The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics, and condensed-matter physics. Granular crystals, a type of nonlinear metamaterial, exploit geometrical nonlinearities in their constitutive microstructure to produce properties (such as tunability and energy localization) that are not conventional to engineering materials and linear devices. In this topical review, we focus on recent experimental, computational, and theoretical results on nonlinear coherent structures in granular crystals. Such structures -which include traveling solitary waves, dispersive shock waves, and discrete breathers -have fascinating dynamics, including a diversity of both transient features and robust, long-lived patterns that emerge from broad classes of initial data. In our review, we primarily discuss phenomena in one-dimensional crystals, as most research has focused on such scenarios, but we also present some extensions to two-dimensional settings. Throughout the review, we highlight open problems and discuss a variety of potential engineering applications that arise from the rich dynamic response of granular crystals.

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Section: Packing Geometries and Transient Dynamicsmentioning

confidence: 99%