Open AccessEffective anisotropic elastic constants for wave propagation through cracked solids
Author(s) -
Crampin Stuart
Publication year - 1984
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1984.tb05029.x
Subject(s) - attenuation , anisotropy , wave propagation , homogeneous , phase velocity , seismic wave , materials science , mechanics , physics , optics , geophysics , statistical physics
Summary. Theoretical developments of Hudson demonstrate how to calculate the variations of velocity and attenuation of seismic waves propagating through solids containing aligned cracks. The analysis can handle a wide variety of crack configurations and crack geometries. Hudson associates the velocity variations with effective elastic constants. In this paper we associate the variation of attenuation with the imaginary parts of complex effective elastic constants. These complex elastic constants permit the simulation of wave propagation through two‐phase materials by the calculation of wave propagation through homogeneous anisotropic solids.