Calculation of scattering of elastic waves from flat cracks

Conference · Thu Jan 01 04:00:00 EST 1981

DOI:https://doi.org/10.1007/978-1-4684-4262-5_63· OSTI ID:5956031

Visscher, W M

A method, based on a boundary-integral representation of the elastic displacement, for calculating crack-opening-displacements on a flat crack of arbitrary shape and for incident elastic waves of arbitrary direction, polarization, and wavelength is developed and illustrated by application to Rayleigh scattering from two families of crack shapes. The crack-opening-displacement is expanded in a truncated complete set of functions on the crack surface. This transforms the boundary-integral representation into a matrix equation with rank three times the order of the truncation. This matrix equation has the properties that can be expressed as the result of an extremum principle with respect to variations of the expansion coefficients of the crack-opening-displacement (thus converges as the truncation order increases) and the matrix kernel (which must be inverted) is positive definite.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5956031
• Report Number(s): LA-UR-81-3265; CONF-810839-4; ON: DE82002624
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420200* -- Engineering-- Facilities
Equipment
& Techniques
CRACK PROPAGATION
CRACKS
MATERIALS
MATHEMATICAL MODELS