Ultrasonic Determination of Combinations of Third-Order Elastic Constants of Small Cubic Single Crystals

Abstract

The ultrasonic harmonic generation technique for measuring combinations of third-order elastic constants of cubic single crystals previously has been limited by the plane wave approximation to measurement of samples whose cross sectional dimensions are > or approx. = 1.5 cm. By obtaining data with small transducers and considering the effects of diffraction, the range of samples measurable with the technique has been extended to samples of approx. = 5mm on a side. This development has made possible measurement of single crystals unavailable in large dimensions. The minimum length required for measurement depends on the materials and on the cross sectional dimensions; the current estimate of the minimum length is approx. = 4mm. Diffraction corrections based on the Kirchhoff diffraction theory are presented and analyzed for both the fundamental frequency component and the second harmonic component of the ultrasonic wave. The technique was used to measure combinations of third-order elastic constants of small samples of CsCdf3 and KZnF3. The measured combinations obtained by correcting only the fundamental frequency component for diffraction, are provided.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA100038

Entities

People

  • Bruce D. Blackburn

Organizations

  • University of Tennessee

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustics
  • Air Force
  • Computational Science
  • Computer Programs
  • Continuum Mechanics
  • Crystal Structure
  • Crystals
  • Frequency
  • Measurement
  • Military Research
  • Optical Materials
  • Signal Generators
  • Single Crystals
  • Ultrasounds
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Microwave Engineering.