ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

A frequency domain Ritz method based spectral finite element methodology for the computation of band structure of the pentamode metamaterials

Mukherjee, Sushovan and Gopalakrishnan, S (2016) A frequency domain Ritz method based spectral finite element methodology for the computation of band structure of the pentamode metamaterials. In: Conference on Nanosensors, Biosensors, and Info-Tech Sensors and Systems, MAR 21-24, 2016, Las Vegas, NV.

Full text not available from this repository. (Request a copy)
Official URL: http://dx.doi.org/10.1117/12.2219224

Abstract

The class of fabricated materials known as metamaterials, with its promises for unconventional material properties or characteristics, has opened up a whole new paradigm of possibilities and challenges. The primary enablers have been capabilities at the very low length scale and novel design configurations. Pentamode metamaterials, having fluid like properties, is one such idea to have been realized in recent past. This type of fabricated materials show high bulk modulus but low shear modulus. The fundamental constituent element is a rod like structure tapered down on both ends. Four of such elements meet at any joint, two of which in a plane orthogonal to that of the other two. The dynamics and wave propagation characteristics of such structures have been studied with an aim to obtain band structures formed because of their periodic nature. Here, a methodology has been developed to compute the wave propagation characteristics of such pentamode structures using spectrally formulated finite elements based on frequency domain Ritz method. Bloch theory has also been used to represent the dynamics of an infinite structure through that of a unit cell. The proposed method is computationally more efficient compared to one using conventional finite element. A few variants of pentamodes are also analyzed to arrive at configurations with superior wave propagation characteristics.

Item Type: Conference Proceedings
Related URLs:
Additional Information: Copy right for this article belongs to the SPIE-INT SOC OPTICAL ENGINEERING, 1000 20TH ST, PO BOX 10, BELLINGHAM, WA 98227-0010 USA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 21 Jan 2017 08:39
Last Modified: 21 Jan 2017 08:39
URI: http://eprints.iisc.ernet.in/id/eprint/55948

Actions (login required)

View Item View Item