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elastodynamics

Ramathasan Thevamaran's picture

Universal route for the emergence of exceptional points in PT-symmetric metamaterials with unfolding spectral symmetries

We introduce a class of parity-time symmetric elastodynamic metamaterials (Ed-MetaMater) whose Hermitian counterpart exhibits unfolding (fractal) spectral symmetries. Our study reveals a scale-free formation of exceptional points in those Ed-MetaMaters whose density is dictated by the fractal dimension of their Hermitian spectra.

rabedi's picture

MS/PhD positions U of Tennessee elastodynamic metamaterials & RTE (computational)

I have a few positions (funded by NSF, AFRL, and/or ARO) for MS or PhD (preferred) students at the University of Tennessee Space Institute (UTSI) and University of Tennessee Knoxville (UTK) in the following two topics:

 

1. Elastodynamic metamaterials: Characterization of dispersive constitutive equations and simulation of the material with overall properties in the time domain (TD), analysis of the effect of disorder and material nonlinearities (e.g. fracture) in their performance, etc.

rabedi's picture

PhD position in computational mechanics (focus elastodynamics)

  

Hello,

I have a PhD position available for a project involving the design of metamaterial unit cells for shock wave mitigation applications. The graduate research assistantship (GRA) position is for the University of Tennessee Space Institute (UTSI) which is a part of University of Tennessee Knoxville (UTK). The student will be located in Knoxville. Some important points are:

Ramathasan Thevamaran's picture

Environmentally induced exceptional points in elastodynamics

We study the nature of an environment-induced exceptional point in a non-Hermitian pair of coupled mechanical oscillators. The mechanical oscillators are a pair of pillars carved out of a single isotropic elastodynamic medium made of aluminum and consist of carefully controlled differential losses. The interoscillator coupling originates exclusively from background modes associated with the “environment,” that portion of the structure which, if perfectly rigid, would support the oscillators without coupling.

Ahmed Elbanna's picture

Can you "chop" a mechanical wave?

In this paper we highlight several interesting phenomena that may emerge from coupling simple elastic systems like 1d bars. While in compostes we usually focus on wave propagation normal to the stratification direction (composite layers are coupled in series), here we show that extreme attenuation at multiple frequencies may emerge in linear systems that are coupled transversaly. We also introduce a simple device that act as a chopper for mechanical signals.

http://www.nature.com/articles/s41598-017-16364-8

Christopher Provatidis's picture

CAD-based precursors of IsoGeometric Analysis

Article title: CAD-based collocation eigenanalysis of 2-D elastic structures
Journal title: Computers and Structures
Author: Dr. C Provatidis
Final version published online: 18-Dec-2016
DOI information: 10.1016/j.compstruc.2016.11.

Eran Bouchbinder's picture

Dynamic instabilities of frictional sliding at a bimaterial interface

Understanding the dynamic stability of bodies in frictional contact steadily sliding one over the other is of basic interest in various disciplines such as physics, solid mechanics, materials science and geophysics. Here we report on a two-dimensional linear stability analysis of a deformable solid of a finite height H, steadily sliding on top of a rigid solid within a generic rate-and-state friction type constitutive framework, fully accounting for elastodynamic effects.

rajnikanthreddy's picture

EFG with Lagrange Multipliers for elastodynamic problems

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hi ,

by using EFG with Lagrange multipliers for elastodynamics we will get below two equations .

M (U double dot)+C (U dot) + KU = F   (ofcourse C=0 in my problem)

HU=q    (q is not equal to zero) (where  H= G Transpose)

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