Abstract:
Rationale and Summary of Methods for Determining
Ultrasonic Properties of Materials
at Lawrence Livermore National
Laboratory
by Albert E. Brown, February 9, 1995
ABSTRACT
This report is a summary of the methods used to determine ultrasonic
velocities through the many materials tested at the Acoustic Properties
of Materials Laboratory. Ultrasonic velocity techniques enable
us to determine material properties, including elastic moduli,
without harming the materials being tested, an advantage some
over mechanical methods. Ultrasonic modulus determination has
other advantages as well:
1.) relative ease and low cost of material preparation, and,
2.) comparative analysis to physical testing as a function of
material loading rate dependence.
In addition, ultrasonic measurement provides clues to determine
grain size and orientation, and provides a relative indication
of material anisotropy with respect to the material geometry.
We usually perform ultrasonic measurements on materials in ambient
atmospheric conditions, and in a relatively free-free condition.
However, we can perform them in other environments, as required.
This paper describes some of our techniques and shows how ultrasonic
velocities are used to establish elastic constants. It also includes
a sample test report for a homogeneous isotropic solid, along
with a list of references.
CHAPTER I
Introduction
Table of Symbols
Determining Ultrasonic Velocity
COUPLING THE TRANSDUCER TO THE SPECIMEN
CHAPTER II
RELATIONSHIP BETWEEN ULTRASONIC VELOCITY AND ELASTIC MODULI
WHAT ELSE? A LOOK AT SOME OTHER TECHNIQUES
REYNOLDS METHOD FOR DETERMINING SHEAR VELOCITIES ULTRASONIC
REFLECTIONS OF PRESSURE WAVES BASED UPON ACOUSTIC IMPEDANCE BETWEEN
A BUFFER AND A SPECIMEN
PRESSURE REFLECTIVITY AND TRANSMISSIVITY
PRESSURE COEFFICIENT (N/m2):
INTENSITY COEFFICIENT (W/m2):
TABLE OF MATERIAL PROPERTIES
TABLE OF VARIABLES
THIN WALL STRUCTURES
WAVE SOLUTION APPROXIMATIONS
VIBRATION FREQUENCY CALCULATIONS
Flexural Waves
Rectangular Bar Clamped at One End
Bar, Both Ends Free
Longitudinal Vibration of Bars
Circular Plate unsupported (Free)
Circular Plate Lightly Supported at the Outside Edge
Circular Plate Clamped at Outside Edge
Pipes, Closed One End
Open Pipes
CONCLUSIONS
REFERENCES
Appendix A
Appendix B
ATTENUATION OF ULTRASOUND
GENERAL EQUATIONS:
ATTENUATION RESULTS FROM:
Appendix C
ATTENUATION MEASUREMENTS
BUFFER ROD TECHNIQUE
FORWARD PROPAGATION
REVERSE PROPAGATION
DEFINITIONS
ATTENUATION
AMPLITUDE RATIO
© Copyright 22.Nov. 1995 Rolf Diederichs, info@ndt.net