期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 119, 期 -, 页码 104-117出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2018.06.015
关键词
Local resonance; Double negativity; Acoustic metamaterial; Dispersion spectrum; Multiscale analysis; Homogenization
资金
- European Research Council under the European Union [339392]
- European Research Council (ERC) [339392] Funding Source: European Research Council (ERC)
This paper demonstrates the application of a recently developed enriched micro-inertial continuum based homogenization framework towards numerical dispersion and boundary value problem analyses of local resonance metamaterials exhibiting sub-wavelength negative stiffness and double negative effects (i.e. simultaneous negative effective mass density and stiffness). This is a novel development since homogenized structural dynamic analyses that specifically incorporate negative stiffness effects have not yet been extensively explored. The proposed methodology is successful in approximating the negative stiffness effect to a certain degree. Accordingly, an appropriate error estimation procedure based on dispersion analyses is proposed to identify the limits of the reliability of the homogenized model. The resulting methodology provides a highly efficient framework for the analysis of double negative metamaterial problems involving a non-trivial macroscopic loading, the influence of the applied boundary conditions, and a complex unit cell design. This is illustrated through a case study involving the refraction analysis of a double negative metamaterial prism. (C) 2018 The Authors. Published by Elsevier Ltd.
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