Nonlinear Elastodynamics Cloaking

Abstract

We have carefully studied the problem of elastodynamics cloaking in both linear and nonlinear regimes. We present a mathematically precise definition of cloaking an object from elastic waves and prove a proposition. This result will be the mathematical foundation of our future work on cloaking object from stress waves.

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Document Details

Document Type
Technical Report
Publication Date
May 15, 2017
Accession Number
AD1059035

Entities

People

  • Arash Yavari

Organizations

  • Georgia Tech Research Corporation

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Agreements
  • Boundaries
  • Boundary Value Problems
  • Constitutive Equations
  • Department Of Defense
  • Elastic Properties
  • Elastic Waves
  • Engineering
  • Environmental Engineering
  • Equations
  • Inclusions
  • Materials
  • Mathematics
  • Mechanical Engineering
  • Mechanical Properties
  • Mechanics
  • Shear Stresses
  • Stress Waves
  • Stresses
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Nanofabrication and Microfabrication.
  • Theoretical Analysis.