Elastic wave propagation in general transversely isotropic media. I. Green’s functions and elastodynamic holography

1994 ◽  
Vol 96 (2) ◽  
pp. 1144-1157 ◽  
Author(s):  
M. Spies
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic ◽  
Elastic Wave Propagation ◽  
Transversely Isotropic Media ◽  
Isotropic Media

Three-dimensional analysis of cracks in layered transversely isotropic media

1989 ◽  
Vol 424 (1867) ◽  
pp. 307-322 ◽  
Keyword(s):  
Integral Equation ◽  
Green's Functions ◽  
Green’S Functions ◽  
Crack Opening ◽  
Mathematical Formulation ◽  
Transversely Isotropic ◽  
Boundary Integral ◽  
Opening Displacement ◽  
Transversely Isotropic Media ◽  
Isotropic Media

A general mathematical formulation to analyse cracks in layered transversely isotropic media is developed in this paper. By constructing the Green’s functions, an integral equation is obtained to determine crack opening displacements when an applied crack face traction is specified. For the infinite body, the Green’s functions have solutions in a closed form. For layered media, a flexibility matrix in the integral transformed domain is formed that establishes the relation between the traction and the displacement for a single layer; the global matrix is formed by assembling all of the flexibility matrices constructed for each layer. The Green’s functions in the spatial domain are obtained by inversion of the Hankel transform. Finally, the crack opening displacement and the crack-tip opening displacement for a vertical planar crack in a layered transversely isotropic medium are obtained numerically by the boundary integral equation method.

Sign in / Sign up

Export Citation Format

Share Document