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By Shaofan Li, Xin-Lin Gao
This e-book offers the newest advancements and functions of micromechanics and nanomechanics. It relatively specializes in a few contemporary functions and impression components of micromechanics and nanomechanics that experience now not been mentioned in conventional micromechanics and nanomechanics books on metamaterials, micromechanics of ferroelectric/piezoelectric, electromagnetic fabrics, micromechanics of interface, measurement results and pressure gradient theories, computational and experimental nanomechanics, multiscale simulations and theories, gentle topic composites, and computational homogenization idea. This publication covers analytical, experimental, in addition to computational and numerical methods in depth.
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Jung, L. Martin-Moreno, X. Yin, L. Fok, X. Zhang and F. J. Garcia-Vidal, “A holey-structured metamaterial for acoustic deep-subwavelength imaging,” Nature Physics, 7, 52–55, 2011. 5. S. A. Cummer and D. Schurig, “One path to acoustic cloaking,” New Journal of Physics, 9, 45, 2007. ´ 6. D. Torrent and J. Sanchez-Dehesa “Acoustic metamaterials for new two-dimensional sonic devices,” New Journal of Physics, 9, 323, 2007. 7. P. E. Hopkins, C. M. Reinke, M. F. Su, R. H. Olsson, E. A. Shaner, Z. C. Leseman, J.
Wave characteristics of metamaterials with negative effective mass can be envisioned in a lattice system composed of the mass– spring structures connected with the springs of the spring constant K , as shown in Fig. 1(b). 7) meff ω2 = 4K sin2 2 where q is the Bloch wave vector. At frequencies of meff < 0, it is found in Eq. 7) that the wave vector q takes purely imaginary values and the waves are forbidden in this frequency band. In a finite-period lattice system shown in Fig. 2(a), the transmission properties of disturbances across the system can be evaluated to verify the blocking effects at frequencies of negative effective mass.
2, we show the frequency (non-dimensional) and damping ratio band structures for this model. Each plot is divided into positive and negative wavenumber (non-dimensional) domains representing the propagating and evanescent waves, respectively. The evanescent wavenumbers are not negative; rather, they are indicated as such to emphasize their attenuating nature (which arises from the multiplication of the imaginary part of the wavenumber with a unit imaginary number). We observe in Fig. 2 that as the damping intensity q increases, the optical branches drop rapidly while the acoustic branch experiences relatively little change – the result is a reduction in the size of the band gap.