Transverse Isotropy is observed in sedimentary rocks at long wavelengths. Each layer has approximately the same properties in-plane but different properties through-the-thickness. The plane of each layer is the plane of isotropy and the vertical axis is the axis of symmetry.
A transversely isotropic material is one with physical properties that are symmetric about an axis that is normal to a plane of isotropy. This transverse plane has infinite planes of symmetry and thus, within this plane, the material properties are the same in all directions. Hence, such materials are also known as "polar anisotropic" materials. In geophysics, vertically transverse isotropy (VTI) is also known as radial anisotropy.
This type of material exhibits hexagonal symmetry (though technically this ceases to be true for tensors of rank 6 and higher), so the number of independent constants in the (fourth-rank) elasticity tensor are reduced to 5 (from a total of 21 independent constants in the case of a fully anisotropic solid). The (second-rank) tensors of electrical resistivity, permeability, etc. have two independent constants.
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A transversely isotropic material is one with physical properties that are symmetric about an axis that is normal to a plane of isotropy. This transverse...
In physics and geometry, isotropy (from Ancient Greek ἴσος (ísos) 'equal', and τρόπος (trópos) 'turn, way') is uniformity in all orientations. Precise...
anisotropy, both of them are called transverseisotropy (it is called transverseisotropy because there is isotropy in either the horizontal or vertical...
44}&0\\0&0&0&0&0&C_{66}\end{bmatrix}}.} When the transverseisotropy is weak (i.e. close to isotropy), an alternative parametrization utilizing Thomsen...
morphology. The technique is applicable to any crystal structure, however transverseisotropy means the full orientation cannot be determined in hexagonal materials...
advances in 3D crack and contact analysis of elastic solids with transverseisotropy and multifield coupling. Mathieu Beauregard, La folie de Valery Fabrikant:...
The Mercator projection is conformal. One implication of that is the "isotropy of scale factors", which means that the point scale factor is independent...
be interpreted in different ways when viewed individually. For example, isotropy experiments such as Michelson-Morley can be seen as a simple consequence...
structural property of non-uniformity in different directions, as opposed to isotropy. An anisotropic object or pattern has properties that differ according...
propagation. Materials can be classified into two categories based on their isotropy. Materials that are isotropic have the same physical characteristics throughout...
relation is most easily derived for diatomic ion crystals with optical isotropy, for example sodium chloride and zinc sulfide. Since the atoms in the crystal...
play the same role in Minkowski geometry (the Lorentz group forms the isotropy group of the self-isometries of the spacetime) which are played by rotations...
fundamental tests are Michelson–Morley experiment (proves light speed isotropy) and Ives–Stilwell experiment (proves time dilation) 1934 – Georg Joos...
(i.e., stretched or bent) causing a loss of physical isotropy and consequently a loss of isotropy in the material's permittivity tensor; Form birefringence...
{\displaystyle {\mathfrak {g}}_{x}(A)=\ker(\rho _{x})} is a Lie algebra, called the isotropy Lie algebra at x {\displaystyle x} the kernel g ( A ) = ker ( ρ ) {\displaystyle...
predominance of matter over antimatter (matter/antimatter asymmetry). The isotropy and homogeneity of the visible universe over large distances seems to require...
diffeomorphism; the unit map u {\displaystyle u} is a smooth embedding; the isotropy groups G x {\displaystyle G_{x}} are Lie groups; the orbits O x ⊆ M {\displaystyle...
source region of discrete auroras inferred from their relationship with isotropy boundaries of energetic particles". Annales Geophysicae. 15 (8): 943. Bibcode:1997AnGeo...
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