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...

In physics and geometry, isotropy (from Ancient Greek ἴσος (ísos) 'equal' and τρόπος (trópos) 'turn, way') is uniformity in all orientations. Precise definitions...

Transversely isotropic materials have a plane of isotropy in which the elastic properties are isotropic. If we assume that this plane of isotropy is...

anisotropy, both of them are called transverse isotropy (it is called transverse isotropy because there is isotropy in either the horizontal or vertical...

excitation technique Proportional limit Stiffness Tensile strength Transverse isotropy Elasticity tensor Askeland, Donald R.; Phulé, Pradeep P. (2006)....

The Mercator projection is conformal. One implication of that is the "isotropy of scale factors", which means that the point scale factor is independent...

44}&0\\0&0&0&0&0&C_{66}\end{bmatrix}}.} When the transverse isotropy is weak (i.e. close to isotropy), an alternative parametrization utilizing Thomsen...

advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling. Mathieu Beauregard, La folie de Valery Fabrikant:...

is generally considered the solution to all negative aether drift (or isotropy of the speed of light) measurements, including the Michelson–Morley null...

be interpreted in different ways when viewed individually. For example, isotropy experiments such as Michelson-Morley can be seen as a simple consequence...

perpendicular to the rolling direction. For the special case of transverse isotropy we have R = R 0 = R 90 {\displaystyle R=R_{0}=R_{90}} and we get...

morphology. The technique is applicable to any crystal structure, however transverse isotropy means the full orientation cannot be determined in hexagonal materials...

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...

structural property of non-uniformity in different directions, as opposed to isotropy. An anisotropic object or pattern has properties that differ according...

comparison-, clock anisotropy-, mass isotropy-, or energy isotropy experiments) are spectroscopic tests of the isotropy of mass and space. Although originally...

failure theory Linear elasticity Hooke's law Orthotropic material Transverse isotropy Hankinson, R. L., 1921, Investigation of crushing strength of spruce...

Transuranic waste Transverse Doppler effect Transverse flow effect Transverse isotropy Transverse mass Transverse mode Transverse relaxation optimized...

of the generalized Hill yield criterion. For a transversely isotropic material, if the plane of isotropy is 1–2, then F 1 = F 2   ;     F 4 = F 5 = F 6...

propagation. Materials can be classified into two categories based on their isotropy. Materials that are isotropic have the same physical characteristics throughout...

shift of light. The result was in agreement with the formula for the transverse Doppler effect and was the first direct, quantitative confirmation of...

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...

fiber optical fiber connector optical illusion optical instrument optical isotropy optical lens design optical modeling and simulation optical path optical...

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...

From the form of the physical components, it is easy to see that the isotropy group of any perfect fluid is isomorphic to the three dimensional Lie group...

and the arrangement of the cellular structure (open vs closed and pore isotropy).[citation needed] To characterize the mechanical properties of foams,...

Conversely isotropic scale factors across the map imply a conformal projection. Isotropy of scale implies that small elements are stretched equally in all directions...

authors. The isotropy Lie algebra of a Poisson manifold ( M , π ) {\displaystyle (M,\pi )} at a point x ∈ M {\displaystyle x\in M} is the isotropy Lie algebra...

{\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...