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Study of In-Plane Wave Propagation in 2-Dimensional Anisotropic Elastic Metamaterials
摘要： Objective Due to its multiple applications, elastic metamaterial is of great interest for researchers today. In this article, in-plane wave propagation in 2-D anisotropic metamateials with anisotropic density and anisotropic Young’s modulus is comprehensively studied. Method Characteristics of wave propagation in 2-D metamaterial with different combinations of negative properties are provided, and the unnatural phenomenon is also explained. Based on Snell’s law and weld boundary condition, analysis of wave propagation from conventional isotropic material into anisotropic metamaterial is performed. Significance This paper can serve as a foundation for future study of massive modeling and simulation of both isotropic and anisotropic metamaterials.
关键词： Anisotropy,Snell’s law,Wave propagation,Christoffel equations,Elastic metamaterials
更新于2025-09-23 15:23:52
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Relaxed micromorphic model of transient wave propagation in anisotropic band-gap metastructures
摘要： In this paper, we show that the transient waveforms arising from several localised pulses in a micro-structured material can be reproduced by a corresponding generalised continuum of the relaxed micromorphic type. Specifically, we compare the dynamic response of a bounded micro-structured material to that of bounded continua with special kinematic properties: (i) the relaxed micromorphic continuum and (ii) an equivalent Cauchy linear elastic continuum. We show that, while the Cauchy theory is able to describe the overall behaviour of the metastructure only at low frequencies, the relaxed micromorphic model goes far beyond by giving a correct description of the pulse propagation in the frequency band-gap and at frequencies intersecting the optical branches. In addition, we observe a computational time reduction associated with the use of the relaxed micromorphic continuum, compared to the sensible computational time needed to perform a transient computation in a micro-structured domain.
关键词： anisotropy,transient dynamic response,elastic metamaterials,relaxed micromorphic model
更新于2025-09-09 09:28:46