The characterization of porosity in solids using the frequency dependence of the ultrasonic attenuation is discussed both from the theoretical and experimental viewpoint. The major thrust of our work is the determination of the volume fraction and size of the voids for the case of dilute porosity (<6%) in structural materials. An aluminum alloy (A357) was chosen for study due to its economic importance in large‐scale casting and the particular suitability of aluminum for this type of study. Following recent papers the attenuation is described by an independent scatterer model for spherical voids. Numerical results are presented in a form suitable for use with a range of materials. A method for determining the volume fraction and pore size is given. Specific tabular results are given for stainless steel, IN‐100, Ti, Si3N4, as well as aluminum. Figures of merit which partially describe those situations in which the method is usable are also presented. In the experimental work a digitized spectrum analysis system was used to measure the frequency dependence of the attenuation coefficient in A357 aluminum cast alloys. In the cast materials the average pore size was in the order of 100 μm and the pore concentration varied from essentially 0 to 6%. It was found that experimental measurement of the attenuation could be fit by the theoretical model. The resulting parameters yield a good estimate of the pore volume fraction.
[1]
Gordon S. Kino,et al.
A unified theory for elastic wave propagation in polycrystalline materials
,
1984
.
[2]
Rohn Truell,et al.
Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid
,
1956
.
[3]
L. W. Eastwood.
GAS in LIGHT ALLOYS.
,
1946
.
[4]
B. Khuri-Yakub,et al.
Ultrasonic Attenuation in Ceramics
,
1978
.
[5]
J. Fast.
Gases in metals
,
1976
.
[6]
Peter H. Rogers,et al.
An exact expression for the Lommel‐diffraction correction integral
,
1974
.
[7]
D. Thompson,et al.
Review of Progress in Quantitative Nondestructive Evaluation
,
1982
.
[8]
V. Varadan,et al.
A multiple scattering theory for elastic wave propagation in discrete random media
,
1985
.
[9]
E. Domany,et al.
Effects of microstructure on the speed and attenuation of elastic waves in porous materials
,
1984
.
[10]
R. S. Sharpe,et al.
Research techniques in nondestructive testing
,
1970
.