A paraxial theory for the propagation of ultrasonic beams in anisotropic solids

Journal Article · Thu Jun 01 04:00:00 EDT 1989 · J. Acoust. Soc. Am.; (United States)

DOI:https://doi.org/10.1121/1.397775· OSTI ID:5990467

Newberry, B P; Thompson, R B

The necessity of nondestructively inspecting cast steels, weldments,composites, and other inherently anisotropic materials has stimulatedconsiderable interest in wave propagation in anisotropic media. Here, theproblem of an ultrasonic beam traveling in an anisotropic medium is formulatedin terms of an angular spectrum of plane waves. Through the use of small angleapproximations, the integral representation is reduced to a summation ofGauss--Hermite eigensolutions. The anisotropic effects of beam skew and excessbeam divergence enter into the solution through parameters that are simplyinterpreted in terms of the slowness surface. Both time harmonic and pulsedsolutions are discussed. Formulas are also presented for transmission of a beamthrough a curved interface between two media. Examples are given illustratinghow this method may be applied to predicting beam patterns during ultrasonicinspections.

• Research Organization: Center for Nondestructive Evaluation, Iowa State University, Ames, Iowa 50011(US)
• OSTI ID: 5990467
• Journal Information: J. Acoust. Soc. Am.; (United States), Journal Name: J. Acoust. Soc. Am.; (United States) Vol. 85:6; ISSN JASMA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420500* -- Engineering-- Materials Testing
ACOUSTIC TESTING
ANISOTROPY
INTERFACES
MATERIALS TESTING
NONDESTRUCTIVE TESTING
SOLIDS
SOUND WAVES
TESTING
ULTRASONIC TESTING
ULTRASONIC WAVES
WAVE PROPAGATION