The Maxwell stress tensor (named after James Clerk Maxwell) is a symmetric second-order tensor in three dimensions that is used in classical electromagnetism...
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in spacetime. The electromagnetic stress–energy tensor contains the negative of the classical Maxwell stress tensor that governs the electromagnetic interactions...
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Gravitational stress-energy tensor The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical...
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continuum mechanics Viscous stress tensor, in continuum mechanics Stress–energy tensor, in relativistic theories Maxwell stress tensor, in electromagnetism Electromagnetic...
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expressed in terms of the Beltrami stress tensor. Stress functions are derived as special cases of this Beltrami stress tensor which, although less general...
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Covariant formulation of classical electromagnetism (redirect from Formulation of Maxwell equations in special relativity)
electromagnetic stress–energy tensor can be interpreted as the flux density of the momentum four-vector, and is a contravariant symmetric tensor that is the...
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Einstein field equations (redirect from Mass-energy tensor)
of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum and stress within...
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the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical...
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relativity (stress–energy tensor, curvature tensor, ...). In applications, it is common to study situations in which a different tensor can occur at...
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phasor, the scalar product and tensor product of electric field with itself, as are present in the Maxwell stress tensor, result in a doubling of the oscillation...
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the Einstein field equations, the electromagnetic stress–energy tensor is a covariant symmetric tensor T μ ν = − 1 μ 0 ( F μ α g α β F β ν − 1 4 g μ ν F...
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Magnetic tension and pressure are both implicitly included in the Maxwell stress tensor. Terms representing these two forces are present along the main...
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is the electromagnetic stress-energy tensor, a covariant rank-2 tensor which includes the Poynting vector, Maxwell stress tensor, and electromagnetic energy...
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method Binomial inverse theorem Bunch–Nielsen–Sorensen formula Maxwell stress tensor contains an application of the Sherman–Morrison formula. Sherman...
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component of the surface normal of S. The quantity Tij is called the Maxwell stress tensor, defined as T i j ≡ ϵ 0 ( E i E j − 1 2 δ i j E 2 ) + 1 μ 0 ( B...
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Von Mises yield criterion (redirect from Von Mises stress)
hydrostatic component of the stress tensor. Although it has been believed it was formulated by James Clerk Maxwell in 1865, Maxwell only described the general...
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Lorentz force (category Maxwell's equations)
ISBN 0-7167-0344-0. These authors use the Lorentz force in tensor form as definer of the electromagnetic tensor F, in turn the fields E and B. Grant, I. S.; Phillips...
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include equivalent forces due to Maxwell stress tensor, magnetostriction and Lorentz force (also called Laplace force). Maxwell forces, also called reluctances...
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called the Maxwell equations as well. Each table below describes one formalism. In the tensor calculus formulation, the electromagnetic tensor Fαβ is an...
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density of the electromagnetic field T i j {\displaystyle T_{ij}} , Maxwell stress tensor All masses, charges, coupling constants, and other physical constants...
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James Clerk Maxwell who proposed the model in 1867. It is also known as a Maxwell fluid. A generalization of the scalar relation to a tensor equation lacks...
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electromagnetic waves are indeed able to "push" on matter. See Maxwell stress tensor and Poynting vector for further details. The Weber force law is...
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metric (and the associated curvature tensors) to the stress–energy tensor T μ ν {\displaystyle T_{\mu \nu }} . This tensor equation is a complicated set of...
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\mathbf {M} } , magnetization T i j {\displaystyle T_{ij}} , the Maxwell stress tensor. All masses, charges, coupling constants, and other scalar physical...
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Magnetic tension and pressure are both implicitly included in the Maxwell stress tensor. Terms representing these two forces are present along the main...
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}}=2\eta _{0}\mathbf {D} } where: T {\displaystyle \mathbf {T} } is the stress tensor; λ {\displaystyle \lambda } is the relaxation time; T ∇ {\displaystyle...
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Viscoelasticity (section Maxwell model)
} (t)} is the Cauchy stress tensor as function of time t, p is the pressure I {\displaystyle \mathbf {I} } is the unity tensor M is the memory function...
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Mathematical descriptions of the electromagnetic field (section Manifestly covariant (tensor) approach)
and tensors. This can be done using the EM tensor F, or the 4-potential A, with the 4-current J. Gauss's law for magnetism and the Faraday–Maxwell law...
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} as seen in the recovery of the electromagnetic stress–energy tensor above. The 5D curvature tensors are complex, and most English-language reviews contain...
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where: T {\displaystyle \mathbf {T} } is the deviatoric part of the stress tensor; λ 1 {\displaystyle \lambda _{1}} is the relaxation time; λ 2 {\displaystyle...
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