Elastic Modulus by Resonance of Rectangular Prisms: Corrections for Edge Treatments

Abstract

The dynamic elastic moduli of isotropic, homogeneous ceramics is commonly determined by resonance methods. A prismatic beam specimen is vibrated in a flexural mode, and the resonant frequency is measured. The beam may have a square, rectangular, or circular cross section. Elastic modulus is determined from the resonant frequency, the mass or density of the prism, and the beam's physical dimensions. Under ideal circumstances, the beam cross section should have a simple prismatic shape, but in practice, the method is sometimes applied to rectangular specimens with edge chamfers or radii that are applied to reduce edge flaw sensitivity during strength tests. The effect of such edge treatments on the resonance frequency and a simple means to correct the calculated elastic modulus for the edge treatment are provided in this note.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2000
Accession Number
ADA381398

Entities

People

  • George D. Quinn
  • Jeffrey J. Swab

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Ceramic Materials
  • Equations
  • Frequency
  • Materials
  • Mechanics
  • Military Research
  • Modulus Of Elasticity
  • Moment Of Inertia
  • Resonance
  • Resonant Frequency
  • Shear Modulus
  • Standards
  • Strain Gages
  • Technical Ceramics
  • Test Methods
  • Vibration

Fields of Study

  • Physics

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Structural Dynamics.