In condensed matter physics and continuum mechanics, an isotropic solid refers to a solid material for which physical properties are independent of the...

biological materials such as soft tissues and cell membranes. In a given isotropic solid, with known theoretical elasticity for the bulk material in terms of...

the direction of an isotropic vector is an isotropic line. Isotropic coordinates Isotropic coordinates are coordinates on an isotropic chart for Lorentzian...

interpolation. One of the most implemented interpolation methodologies is the Solid Isotropic Material with Penalisation method (SIMP). This interpolation is essentially...

behaviour somewhere between conventional liquids and that of solid crystals. Isotropic formulations are amphiphillic, exhibiting selective synchronicity...

temperature, and composition of the medium through which it propagates. For isotropic solids and liquids, the speed of a longitudinal wave can be described by  ...

An isotropic radiator is a theoretical point source of waves that radiates the same intensity of radiation in all directions. It may be based on sound...

result in otherwise optically isotropic materials in a few ways: Stress birefringence results when a normally isotropic solid is stressed and deformed (i...

Solid modeling (or solid modelling) is a consistent set of principles for mathematical and computer modeling of three-dimensional shapes (solids). Solid...

F(x,t)} is the temperature inside a block of some homogeneous and isotropic solid material, its evolution is constrained by the partial differential...

magnetic field at the nucleus, which can be modified by isotropic (e.g. chemical shift, isotropic J-coupling) and anisotropic interactions (e.g. chemical...

constant-energy surfaces are now ellipsoids, rather than the spheres in the isotropic case. Each conduction band minimum can be approximated only by E ( k )...

predicted in 1885 by Lord Rayleigh, after whom they were named. In isotropic solids these waves cause the surface particles to move in ellipses in planes...

possessing cubic symmetry (for e.g. FCC, BCC) is isotropic. Thermal expansion coefficients of solids usually show little dependence on temperature (except...

established for waves propagating in an infinite plate - a homogeneous, isotropic solid bounded by two parallel planes beyond which no wave energy can propagate...

fluid would be a material with zero shear modulus. In homogeneous and isotropic solids, there are two kinds of waves, pressure waves and shear waves. The...

whose stress-strain relationship can be defined as non-linearly elastic, isotropic and incompressible. Hyperelasticity provides a means of modeling the stress–strain...

{k}{m}}}} Isotropic materials are characterized by properties which are independent of direction in space. Physical equations involving isotropic materials...

negative value of the Poisson ratio. The Poisson's ratio of a stable, isotropic, linear elastic material must be between −1.0 and +0.5 because of the...

^{2}f}{\partial c^{2}}}+2\eta ^{2}Y+2K\beta ^{2}\right)} where, for isotropic solids: Y = E 1 − ν {\displaystyle Y={\frac {E}{1-\nu }}} , where E is Young's...

linear correlation of refractive index and chemical composition of an isotropic solid solution can be derived from the Gladstone–Dale equation, but it is...

In continuum mechanics, a Mooney–Rivlin solid is a hyperelastic material model where the strain energy density function W {\displaystyle W\,} is a linear...

depend on the stress state and velocity of the flow. If the fluid is also isotropic (i.e., its mechanical properties are the same along any direction), the...

averaged over all directions. Therefore, the directivity of a hypothetical isotropic radiator, a source of electromagnetic waves which radiates the same power...

normal antennas are. Isotropic antenna The last section is for a unique type of "fake" antenna, called an isotropic antenna or isotropic radiator. It is a...

Therefore, three distinct Brillouin lines will be observable. In isotropic solids, the two transverse waves will be degenerate, as they will be traveling...

anisotropic solids the Tsai-Wu failure criterion for anisotropic composites the Johnson–Holmquist damage model for high-rate deformations of isotropic solids the...

size and shape and may be readily manufactured as large, homogeneous, isotropic solids with excellent optical properties. The indices of refraction of glass...

crystal range is from 118 °C to 136 °C. The solid to nematic transition is at 118 °C and the nematic to isotropic liquid transition at 136 °C. Shao, Y.; Zerda...

cd·sr): 1 lm = 1 cd·sr. A full sphere has a solid angle of 4π steradians (≈ 12.56637 sr), so an isotropic light source (that uniformly radiates in all...