Born approximation in the theory of the scattering of elastic waves by flaws
We used the integral equation formulation of the scattering of elastic waves to generate an approximate solution analogous to the Born approximation in quantum mechanics. This solution is attractive because of the ease with which it may be applied to scatterers of complicated shapes. We investigated the validity of the approximation by comparing it with exact results for spherical scatterers. Our conclusion for voids in elastic media is that the approximation describes well the scattering when the wavelength of the incident wave is approximately an order of magnitude larger than the scatterer and when the scattering is viewed in the backscattered directions. For many applications this range of validity is experimentally accessible. For elastic inclusions, however, where the properties of defect and host differed by 20--40%, the Born approximation is surprisingly good for all angles and even at short wavelengths.
- Research Organization:
- Laboratory of Atomic and Solid State Physics and Materials Science Center, Cornell University, Ithaca, New York 14853
- OSTI ID:
- 7212596
- Journal Information:
- J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 48:7; ISSN JAPIA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Elastic wave scattering calculations, the Born series, and the matrix-variational Pade approximant method
Characterization of material flaws using ultrasonic ramp responses
Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACOUSTIC TESTING
AMPLITUDES
BORN APPROXIMATION
CROSS SECTIONS
CRYSTAL DEFECTS
CRYSTAL STRUCTURE
DEFECTS
DIFFERENTIAL CROSS SECTIONS
ELASTICITY
EQUATIONS
INTEGRAL EQUATIONS
MATERIALS TESTING
MECHANICAL PROPERTIES
NONDESTRUCTIVE TESTING
SCATTERING
SCATTERING AMPLITUDES
TENSILE PROPERTIES
TESTING
ULTRASONIC TESTING
VOIDS
WAVE PROPAGATION