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...
21 KB (4,045 words) - 14:09, 7 May 2025
In physics and geometry, isotropy (from Ancient Greek ἴσος (ísos) 'equal' and τρόπος (trópos) 'turn, way') is uniformity in all orientations. Precise definitions...
10 KB (1,245 words) - 14:12, 7 May 2025
anisotropy, both of them are called transverse isotropy (it is called transverse isotropy because there is isotropy in either the horizontal or vertical...
35 KB (5,684 words) - 10:37, 12 June 2025
Poisson's ratio (section Transversely isotropic)
Transversely isotropic materials have a plane of isotropy in which the elastic properties are isotropic. If we assume that this plane of isotropy is...
33 KB (4,417 words) - 00:28, 2 April 2025
excitation technique Proportional limit Stiffness Tensile strength Transverse isotropy Elasticity tensor Askeland, Donald R.; Phulé, Pradeep P. (2006)....
12 KB (1,504 words) - 05:08, 5 June 2025
Mercator projection (section Transverse Mercator)
The Mercator projection is conformal. One implication of that is the "isotropy of scale factors", which means that the point scale factor is independent...
49 KB (6,858 words) - 10:56, 5 June 2025
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...
43 KB (8,585 words) - 11:07, 5 June 2025
advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling. Mathieu Beauregard, La folie de Valery Fabrikant:...
19 KB (1,833 words) - 08:29, 13 May 2025
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...
15 KB (2,433 words) - 15:00, 6 April 2025
is generally considered the solution to all negative aether drift (or isotropy of the speed of light) measurements, including the Michelson–Morley null...
90 KB (10,321 words) - 15:47, 31 May 2025
morphology. The technique is applicable to any crystal structure, however transverse isotropy means the full orientation cannot be determined in hexagonal materials...
13 KB (1,388 words) - 06:45, 24 September 2024
be interpreted in different ways when viewed individually. For example, isotropy experiments such as Michelson-Morley can be seen as a simple consequence...
29 KB (3,401 words) - 14:01, 23 August 2024
structural property of non-uniformity in different directions, as opposed to isotropy. An anisotropic object or pattern has properties that differ according...
21 KB (2,639 words) - 13:17, 9 April 2025
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...
18 KB (2,527 words) - 22:01, 22 May 2025
failure theory Linear elasticity Hooke's law Orthotropic material Transverse isotropy Hankinson, R. L., 1921, Investigation of crushing strength of spruce...
2 KB (391 words) - 03:39, 7 February 2022
comparison-, clock anisotropy-, mass isotropy-, or energy isotropy experiments) are spectroscopic tests of the isotropy of mass and space. Although originally...
25 KB (2,407 words) - 15:00, 23 March 2025
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...
9 KB (2,013 words) - 16:20, 6 April 2025
Transuranic waste Transverse Doppler effect Transverse flow effect Transverse isotropy Transverse mass Transverse mode Transverse relaxation optimized...
19 KB (2,020 words) - 14:34, 30 November 2024
shift of light. The result was in agreement with the formula for the transverse Doppler effect and was the first direct, quantitative confirmation of...
33 KB (3,821 words) - 14:02, 8 February 2025
propagation. Materials can be classified into two categories based on their isotropy. Materials that are isotropic have the same physical characteristics throughout...
17 KB (2,031 words) - 16:53, 23 May 2025
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...
44 KB (7,436 words) - 02:06, 27 May 2025
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...
40 KB (5,073 words) - 16:50, 10 May 2025
fiber optical fiber connector optical illusion optical instrument optical isotropy optical lens design optical modeling and simulation optical path optical...
11 KB (898 words) - 23:45, 21 July 2024
source region of discrete auroras inferred from their relationship with isotropy boundaries of energetic particles". Annales Geophysicae. 15 (8): 943. Bibcode:1997AnGeo...
116 KB (12,896 words) - 19:52, 9 June 2025
{\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...
42 KB (7,376 words) - 23:07, 23 May 2025
(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...
60 KB (6,595 words) - 19:25, 24 May 2025
to 21 material property constants. For the special case of orthogonal isotropy, there are three distinct material property constants for each of Young's...
96 KB (11,330 words) - 20:25, 9 June 2025
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...
87 KB (12,665 words) - 19:35, 11 June 2025
and the arrangement of the cellular structure (open vs closed and pore isotropy).[citation needed] To characterize the mechanical properties of foams,...
38 KB (5,009 words) - 18:55, 13 June 2025
Conversely isotropic scale factors across the map imply a conformal projection. Isotropy of scale implies that small elements are stretched equally in all directions...
35 KB (5,382 words) - 16:11, 10 June 2025