Reflection point displacements in transversely isotropic solids

1991 ◽  
Author(s):  
Franklyn K. Levin
Keyword(s):  
Transversely Isotropic ◽  
Reflection Point ◽  
Transversely Isotropic Solids ◽  
Isotropic Solids

Reflection point behavior in transversely isotropic solids

Geophysics ◽  
1994 ◽  
Vol 59 (2) ◽  
pp. 309-314 ◽  
Author(s):  
Franklyn K. Levin
Keyword(s):  
Transverse Isotropy ◽  
Transversely Isotropic ◽  
Azimuthal Anisotropy ◽  
Wave Direction ◽  
Reflection Point ◽  
Symmetry Direction ◽  
Horizontal Symmetry ◽  
Transversely Isotropic Solids ◽  
Isotropic Solids ◽  
Obvious Relation

One way of representing a subsurface that displays azimuthal anisotropy is to assume transverse isotropy with a horizontal symmetry axis. For solids that can be described in this manner, rays for reflection from a horizontal plane lie in a plane of incidence for P-P, SV-SV, and SH-SH reflection but the plane wave direction generally differs from the ray direction. For P-SV reflections, the reflection points are in the plane of incidence only for profiles parallel to or perpendicular to the symmetry direction. Except for profiles perpendicular to the symmetry direction, P-P and SV-SV moveout velocities have no obvious relation to the travel velocities of the rays.

Near-Tip Fields for Penny-Shaped Cracks in Magnetoelectroelastic Media

2006 ◽  
Vol 312 ◽  
pp. 41-46 ◽  
Author(s):  
Bao Lin Wang ◽  
Yiu Wing Mai
Keyword(s):  
Closed Form ◽  
Transversely Isotropic ◽  
Crack Plane ◽  
Axially Symmetric ◽  
Crack Configuration ◽  
Penny Shaped Crack ◽  
Electric And Magnetic Fields ◽  
Shaped Crack ◽  
Transversely Isotropic Solids ◽  
Isotropic Solids

This paper solves the penny-shaped crack configuration in transversely isotropic solids with coupled magneto-electro-elastic properties. The crack plane is coincident with the plane of symmetry such that the resulting elastic, electric and magnetic fields are axially symmetric. The mechanical, electrical and magnetical loads are considered separately. Closed-form expressions for the stresses, electric displacements, and magnetic inductions near the crack frontier are given.

True bounds on Poisson's ratios for transversely isotropic solids

1992 ◽  
Vol 27 (1) ◽  
pp. 43-44 ◽  
Author(s):  
P S Theocaris ◽  
T P Philippidis
Keyword(s):  
Energy Density ◽  
Basic Principle ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Elastic Solid ◽  
Transversely Isotropic ◽  
Linear Elastic ◽  
Positive Strain ◽  
Transversely Isotropic Solids ◽  
Isotropic Solids

The basic principle of positive strain energy density of an anisotropic linear or non-linear elastic solid imposes bounds on the values of the stiffness and compliance tensor components. Although rational mathematical structuring of valid intervals for these components is possible and relatively simple, there are mathematical procedures less strictly followed by previous authors, which led to an overestimation of the bounds and misinterpretation of experimental results.

Sign in / Sign up

Export Citation Format

Share Document