scholarly journals Free-space Green's function of a transversely isotropic elastic medium subjected to a ringlike load. 2nd report. Strain and stress solution.

1991 ◽  
Vol 57 (534) ◽  
pp. 322-327
Author(s):  
Ryohei ISHIDA ◽  
Yoshihiro OCHIAI
Keyword(s):  
Green’S Function ◽  
Elastic Medium ◽  
Green's Function ◽  
Free Space ◽  
Transversely Isotropic ◽  
Stress Solution ◽  
Isotropic Elastic Medium

Derivation of the Free‐Space Scalar Green's Function

1956 ◽  
Vol 28 (4) ◽  
pp. 723-724
Author(s):  
Donald H. Robey ◽  
Donald H. Potts
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Free Space

Parabolic Representations of Scattering Green’s Functions

1999 ◽  
Author(s):  
Paul E. Barbone
Keyword(s):  
Asymptotic Expansion ◽  
Wave Equation ◽  
Green’S Function ◽  
Inhomogeneous Medium ◽  
Green's Function ◽  
Free Space ◽  
Green's Functions ◽  
Green’S Functions

Abstract We derive a one-way wave equation representation of the “free space” Green’s function for an inhomogeneous medium. Our representation results from an asymptotic expansion in inverse powers of the wavenumber. Our representation takes account of losses due to scattering in all directions, even though only one-way operators are used.

ON VOLTERRA'S DISLOCATIONS IN A SEMI-INFINITE ELASTIC MEDIUM

1958 ◽  
Vol 36 (2) ◽  
pp. 192-205 ◽  
Author(s):  
J. A. Steketee
Keyword(s):  
Green’S Function ◽  
Elastic Medium ◽  
Green's Function ◽  
Displacement Field ◽  
General Problem ◽  
Function Method ◽  
Green’S Functions ◽  
Boundary Surface ◽  
Green’S Function Method ◽  
Plane Parallel

In this paper a Green's function method is developed to deal with the problem of a Volterra dislocation in a semi-infinite elastic medium in such a way that the boundary surface of the medium remains free from stresses. (A Volterra dislocation is here defined as a surface across which the displacement components show a discontinuity of the type Δu = U + Ω ×r, where U and Ω are constant vectors.) It is found that the general problem requires the construction of six sets of Green's functions. The method for the construction is outlined and applied to one of the six sets, which is of the type of two double forces with moments in a plane parallel with the boundary. The displacement field thus generated is computed. Several of the results obtained are believed to be of geophysical interest, but a more detailed discussion of these applications is postponed to a further communication which is being prepared.

Sign in / Sign up

Export Citation Format

Share Document