Search results
Results from the WOW.Com Content Network
The Young's modulus relates stress and strain when an isotropic material is elastically deformed; to describe elasticity in an anisotropic material, stiffness (or compliance) tensors are used instead. In metals, anisotropic elasticity behavior is present in all single crystals with three independent coefficients for cubic crystals, for example.
A volume such as a computed tomography is said to have isotropic voxel spacing when the space between any two adjacent voxels is the same along each axis x, y, z. E.g., voxel spacing is isotropic if the center of voxel (i, j, k) is 1.38 mm from that of (i+1, j, k) , 1.38 mm from that of (i, j+1, k) and 1.38 mm from that of (i, j, k+1) for all ...
The underlying physical process of diffusion causes a group of water molecules to move out from a central point, and gradually reach the surface of an ellipsoid if the medium is anisotropic (it would be the surface of a sphere for an isotropic medium). The ellipsoid formalism functions also as a mathematical method of organizing tensor data.
In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero. Otherwise it is a definite quadratic form . More explicitly, if q is a quadratic form on a vector space V over F , then a non-zero vector v in V is said to be isotropic if q ( v ) = 0 .
Additionally, all crystal structures, including the cubic crystal system, are anisotropic with respect to certain properties, and isotropic to others (such as density). [4] The anisotropy of a crystal’s properties depends on the rank of the tensor used to describe the property, as well as the symmetries present within the crystal.
In diffusion theory, radiance is taken to be largely isotropic, so only the isotropic and first-order anisotropic terms are used: (, ^,) = =, (,), (^) where n, m are the expansion coefficients. Radiance is expressed with 4 terms: one for n = 0 (the isotropic term) and 3 terms for n = 1 (the anisotropic terms).
While the constituents can often be modeled as having isotropic behaviour, the microstructure characteristics (shape, orientation, varying volume fraction, ..) of heterogeneous materials often leads to an anisotropic behaviour. Anisotropic material models are available for linear elasticity.
Isotropic bands contain only actin-containing thin filaments. [1] The thin filaments are placed between 2 myosin filaments and contain only the actin filaments of neighboring sarcomeres . Bisecting the I band and serving as an anchoring point for the two adjacent actin filaments is the Z disc.