Searches , social queries for MAXWELL STRESS-TENSOR
Search references for MAXWELL STRESS-TENSOR. Phrases containing MAXWELL STRESS-TENSOR
See searches and references containing MAXWELL STRESS-TENSOR!
Search references for MAXWELL STRESS-TENSOR. Phrases containing MAXWELL STRESS-TENSOR
See searches and references containing MAXWELL STRESS-TENSOR!MAXWELL STRESS-TENSOR
Electromagnetic stress
electromagnetism, the Maxwell stress tensor (named after James Clerk Maxwell) is the stress tensor of an electromagnetic field. In tensor index notation it
Maxwell_stress_tensor
in spacetime. The electromagnetic stress–energy tensor contains the negative of the classical Maxwell stress tensor that governs the electromagnetic interactions
Electromagnetic stress–energy tensor
Electromagnetic_stress–energy_tensor
Tensor describing energy momentum density in spacetime
Gravitational stress-energy tensor The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor field
Stress–energy_tensor
Topics referred to by the same term
stress tensor, in continuum mechanics Viscous stress tensor, in continuum mechanics Maxwell stress tensor, in electromagnetism Stress deviator tensor, in
Stress tensor (disambiguation)
Stress_tensor_(disambiguation)
Equations describing elastic deformation
expressed in terms of the Beltrami stress tensor. Stress functions are derived as special cases of this Beltrami stress tensor which, although less general
Stress_functions
Field-equations in general relativity
of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum and stress within
Einstein_field_equations
Algebraic object with geometric applications
relativity (stress–energy tensor, curvature tensor, etc.). In applications, it is common to study situations in which a different tensor can occur at
Tensor
Mathematical object that describes the electromagnetic field in spacetime
electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a tensor that describes
Electromagnetic_tensor
Ways of writing certain laws of physics
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
Covariant formulation of classical electromagnetism
Covariant_formulation_of_classical_electromagnetism
Energy density associated with a magnetic field
Magnetic tension and pressure are both implicitly included in the Maxwell stress tensor. Terms representing these two forces are present along the main
Magnetic_pressure
Failure Theory in continuum mechanics
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
Von_Mises_yield_criterion
Electromagnetism in general relativity
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
Maxwell's equations in curved spacetime
Maxwell's_equations_in_curved_spacetime
vibration of rotating electrical machines, as the radial and tangential Maxwell stress tensors contains the same parts of spatial and time harmonics. Raziee, S
Torque_ripple
Equations describing classical electromagnetism
called the Maxwell equations as well. Each table below describes one formalism. In the tensor calculus formulation, the electromagnetic tensor Fαβ is an
Maxwell's_equations
Model of viscoelastic material
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
Maxwell_model
Type of audible sound
include equivalent forces due to Maxwell stress tensor, magnetostriction and Lorentz force (also called Laplace force). Maxwell forces, also called reluctances
Electromagnetically induced acoustic noise
Electromagnetically_induced_acoustic_noise
Force acting on charged particles in electric and magnetic fields
{\displaystyle {\boldsymbol {\sigma }}} is the Maxwell stress tensor, ∇ ⋅ {\displaystyle \nabla \cdot } denotes the tensor divergence, c {\displaystyle c} is the
Lorentz_force
Formula computing the inverse of the sum of a matrix and the outer product of two vectors
method Binomial inverse theorem Bunch–Nielsen–Sorensen formula Maxwell stress tensor contains an application of the Sherman–Morrison formula. Sherman
Sherman–Morrison_formula
Property of a mass in motion
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
Momentum
Restoring force on bent magnetic field lines
Magnetic tension and pressure are both implicitly included in the Maxwell stress tensor. Terms representing these two forces are present along the main
Magnetic_tension
Time reversal symmetry in physics
density of the electromagnetic field T i j {\displaystyle T_{ij}} , Maxwell stress tensor All masses, charges, coupling constants, and other physical constants
T-symmetry
Class of constitutive equations for viscoelastic fluids
}}=2\eta _{0}\mathbf {D} } where: T {\displaystyle \mathbf {T} } is the stress tensor; λ {\displaystyle \lambda } is the relaxation time; T ∇ {\displaystyle
Upper-convected_Maxwell_model
Relationship between relativity and pre-quantum electromagnetism
is the electromagnetic stress–energy tensor, a covariant rank-2 tensor which includes the Poynting vector, Maxwell stress tensor, and electromagnetic energy
Classical electromagnetism and special relativity
Classical_electromagnetism_and_special_relativity
Equations of motion for viscous fluids
velocity. So the stress variable is the tensor gradient ∇ u {\textstyle \nabla \mathbf {u} } , or more simply the rate-of-strain tensor: ε ( ∇ u ) ≡ 1 2
Navier–Stokes_equations
equation Maxwell–Ampère law The maxwell (Mx), a compound derived CGS unit measuring magnetic flux Maxwell tensor, also Maxwell stress tensor Maxwell–Lodge
List of things named after James Clerk Maxwell
List_of_things_named_after_James_Clerk_Maxwell
Tensor that describes the 4D geometry of spacetime
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
Metric tensor (general relativity)
Metric_tensor_(general_relativity)
Model of viscoelastic fluids
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
Oldroyd-B_model
Unified field theory
Kaluza–Klein–Einstein field equations, the equations of motion, the stress–energy tensor, and the cylinder condition. With no free parameters, it merely extends
Kaluza–Klein_theory
Property of materials with both viscous and elastic characteristics under deformation
} (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
Viscoelasticity
Symmetry of spatially mirrored systems
\mathbf {M} } , magnetization T i j {\displaystyle T_{ij}} , the Maxwell stress tensor. All masses, charges, coupling constants, and other scalar physical
Parity_(physics)
Liquid droplets suspended in a liquid exposed to an oscillating electric field
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
Electrodynamic droplet deformation
Electrodynamic_droplet_deformation
Hypothetical elementary particle that mediates gravity
spin-2 boson because the source of gravitation is the stress–energy tensor, a second-order tensor (compared with electromagnetism's spin-1 photon, the
Graviton
Superseded theory of electromagnetism
electromagnetic waves are indeed able to "push" on matter. See Maxwell stress tensor and Poynting vector for further details. The Weber force law is
Weber_electrodynamics
Type of fluid
of the Ladyzenskaya-type model with a non-linear velocity dependent stress tensor was performed. No analytical solutions could be derived, but a rigorous
Non-Newtonian_fluid
Electric and magnetic fields produced by moving charged objects
field using Maxwell's equations. With the advent of special relativity, physical laws became amenable to the formalism of tensors. Maxwell's equations can
Electromagnetic_field
Production of voltage by a varying magnetic field
generally credited with the discovery of induction in 1831, and James Clerk Maxwell mathematically described it as Faraday's law of induction. Lenz's law describes
Electromagnetic_induction
Physical quantities taking values at each point in space and time
dual vector transform covariantly. tensor fields, (such as the stress tensor of a crystal) specified by a tensor at each point of space. Under rotations
Field_(physics)
Formulations of electromagnetism
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
Mathematical descriptions of the electromagnetic field
Mathematical_descriptions_of_the_electromagnetic_field
Physics term
derivative, named after James G. Oldroyd, is the rate of change of some tensor property of a small parcel of fluid that is written in the coordinate system
Upper-convected time derivative
Upper-convected_time_derivative
Equations describing behavior of a model
refined level, the beam is a 2D body whose stress-tensor is a function of local strain-tensor, and strain-tensor is a function of its deformation. The equations
Governing_equation
Maxwell bridge Maxwell coil Maxwell construction Maxwell material Maxwell relations Maxwell speed distribution Maxwell stress tensor Maxwell–Boltzmann distribution
Index_of_physics_articles_(M)
Mathematical solution in general relativity
specified by defining a metric tensor g a b {\displaystyle g_{ab}} (or by defining a frame field). The Riemann curvature tensor R a b c d {\displaystyle R_{abcd}}
Electrovacuum_solution
Substance-specific relation between two physical quantities
_{ij}=S_{ijkl}\,\sigma _{kl}} where C is the elasticity tensor and S is the compliance tensor. Several classes of deformation in elastic materials are
Constitutive_equation
Basic law of electromagnetism
phenomenon of induced current described above. One is the Maxwell–Faraday equation, one of Maxwell's equations, which states that a time-varying magnetic field
Faraday's_law_of_induction
Branch of physics which studies the behavior of materials modeled as continuous media
integral equations) Stress (physics) Stress measures Tensor calculus Tensor derivative (continuum mechanics) Theory of elasticity Maxwell pointed out that
Continuum_mechanics
Curvilinear coordinates can be formulated in tensor calculus, with important applications in physics and engineering, particularly for describing transportation
Tensors in curvilinear coordinates
Tensors_in_curvilinear_coordinates
account for the stress of the magnetic lines of force given by Faraday. These works had already laid the basis of the formulation of the Maxwell's equations
History of Maxwell's equations
History_of_Maxwell's_equations
important tensor fields in relativity include the following: The stress–energy tensor T a b {\displaystyle T^{ab}} , a symmetric rank-two tensor. The electromagnetic
Mathematics of general relativity
Mathematics_of_general_relativity
Second-rank tensor in quantum chromodynamics
In theoretical particle physics, the gluon field strength tensor is a second-order tensor field characterizing the gluon interaction between quarks. The
Gluon_field_strength_tensor
to a stress–energy tensor which can be interpreted as arising from incoherent electromagnetic radiation, without necessarily solving the Maxwell field
Exact solutions in general relativity
Exact_solutions_in_general_relativity
Proposed theories of gravity
Minkowski metric. g μ ν {\displaystyle g_{\mu \nu }\;} is a tensor, usually the metric tensor. These have signature (−,+,+,+). Partial differentiation is
Alternatives to general relativity
Alternatives_to_general_relativity
Expression that may be integrated over a region
covariant tensor field of rank k {\displaystyle k} . The differential forms on M {\displaystyle M} are in one-to-one correspondence with such tensor fields
Differential_form
Five-dimensional Einstein field equations
field equations. They use the Kaluza–Klein–Einstein tensor, a generalization of the Einstein tensor, and can be obtained from the Kaluza–Klein–Einstein–Hilbert
Kaluza–Klein–Einstein field equations
Kaluza–Klein–Einstein_field_equations
Concept in classical electromagnetism
current term. The resulting equation, often called the Ampère–Maxwell law, is one of Maxwell's equations that form the foundation of classical electromagnetism
Ampère's_circuital_law
Coordinate system for the Kerr metric
\sigma ^{3}\right]} The Riemann tensor written out in full is quite verbose; it can be found in Frè. The Ricci tensor takes the diagonal form: Ric = Q
Boyer–Lindquist_coordinates
Measure of the electric polarizability of a dielectric material
frequencies. For the 3D measurement of dielectric tensors at optical frequency, Dielectric tensor tomography can be used. Acoustic attenuation Density
Permittivity
Law of classical electromagnetism
Biot–Savart law include: 1) Lorentz transformation of the electromagnetic tensor components from a moving frame of reference, where there is only an electric
Biot–Savart_law
Electromagnetic effect in physics
Hall in 1879 through a study of the electromagnetic theory of James Clerk Maxwell, becoming a critical confirmation of that theory. The Hall coefficient
Hall_effect
Physical quantity in electromagnetism
based upon the divergence of the above curl equation, Maxwell's explanation ultimately stressed linear polarization of dielectrics: This displacement
Displacement_current_density
the relationship between curvature of spacetime and the stress–energy tensor. The Ricci tensor becomes R ´ α β = 8 π G c 4 ( A 2 T ´ α β + B 2 T ´ g α
Theoretical motivation for general relativity
Theoretical_motivation_for_general_relativity
Study of flow properties of blood and its elements of plasma and cells
the Oldroyd-B model, the relation between the shear stress tensor B and the orientation stress tensor A is given by: S + γ [ D S D t − Δ V ⋅ S − S ⋅ ( Δ
Hemorheology
Foundational law of electromagnetism relating electric field and charge distributions
the time components of the electromagnetic tensor; g {\displaystyle g} is the determinant of metric tensor; d S κ = d S i j = d x i d x j {\displaystyle
Gauss's_law
Concept in the physics of electromagnetism
Electromagnetic mass Abraham–Lorentz force Larmor formula Poynting's theorem Maxwell tensor Electrical network Alternating current Capacitance Current density Direct
Magnetic_moment
System of differential equations
_{ij}^{2})}{\partial x_{i}}}\qquad (j=1,2,3.)} where the spatial part of the stress–energy tensor is defined as: σ i j 2 = ⟨ v i v j ⟩ − ⟨ v i ⟩ ⟨ v j ⟩ {\displaystyle
Jeans_equations
computes the stress–energy tensor Tab for the given electromagnetic field, compute the Einstein tensor Gab for the given metric tensor, one finds that
Monochromatic electromagnetic plane wave
Monochromatic_electromagnetic_plane_wave
Exterior algebraic map taking tensors from p forms to n-p forms
space L ( V , V ) {\displaystyle L(V,V)} is naturally isomorphic to the tensor product V ∗ ⊗ V ≅ V ⊗ V {\displaystyle V^{*}\!\!\otimes V\cong V\otimes
Hodge_star_operator
Pair of values which express a thermodynamic system's internal energy
force is generalized to the stress tensor, and changes in volume are generalized to the volume multiplied by the strain tensor. These then form a conjugate
Conjugate variables (thermodynamics)
Conjugate_variables_(thermodynamics)
Law of electrical current and voltage
scientists at the time, and his results were unknown until James Clerk Maxwell published them in 1879. Francis Ronalds delineated "intensity" (voltage)
Ohm's_law
Non-tensorial representation of the spin group
rotation as the coordinates. More broadly, any tensor associated with the system (for instance, the stress of some medium) also has coordinate descriptions
Spinor
Proposed theory of gravitation
of a scalar–tensor theory, a gravitational theory in which the gravitational interaction is mediated by a scalar field as well as the tensor field of general
Brans–Dicke_theory
French mathematician and physicist (1781–1840)
Maxwell equations in curved spacetime Relativistic electromagnetism Stress–energy tensor Synchrotron radiation Bremsstrahlung Scientists Ampère Arago Biot
Siméon_Denis_Poisson
Physical quantity, density of magnetic moment per volume
fields (E, D), charge density (ρ), and current density (J) is described by Maxwell's equations. The role of the magnetization is described below. The magnetization
Magnetization
English chemist and physicist (1791–1867)
limited to the simplest algebra. Physicist and mathematician James Clerk Maxwell took the work of Faraday and others and summarised it in a set of equations
Michael_Faraday
Vector field describing the density of electric dipole moments in a dielectric material
in this case χ simplifies to a scalar, although more generally it is a tensor. This is a particular case due to the isotropy of the dielectric. Taking
Polarization_density
Electrical action produced by a non-electrical source
pair of variables. At constant pressure the above relationship produces a Maxwell relation that links the change in open cell voltage with temperature T
Electromotive_force
Electrically insulating substance able to be polarised by an applied electric field
light. It is defined as the constant of proportionality (which may be a tensor) relating an electric field E {\displaystyle \mathbf {E} } to the induced
Dielectric
Metric in relativity
1959. Introduction to the mathematics of general relativity Stress–energy tensor Metric tensor (general relativity) Peres, Asher (1959). "Some Gravitational
Peres_metric
Charge transfer due to contact or sliding
Maxwell equations in curved spacetime Relativistic electromagnetism Stress–energy tensor Synchrotron radiation Bremsstrahlung Scientists Ampère Arago Biot
Triboelectric_effect
German physicist (1857–1894)
proved the existence of the electromagnetic waves proposed by James Clerk Maxwell's equations of electromagnetism. Heinrich Rudolf Hertz was born on 22 February
Heinrich_Hertz
Types of electrical circuits
Maxwell equations in curved spacetime Relativistic electromagnetism Stress–energy tensor Synchrotron radiation Bremsstrahlung Scientists Ampère Arago Biot
Series_and_parallel_circuits
British chemist and inventor (1778–1829)
Maxwell equations in curved spacetime Relativistic electromagnetism Stress–energy tensor Synchrotron radiation Bremsstrahlung Scientists Ampère Arago Biot
Humphry_Davy
Theory of gravitation as curved spacetime
a constant and T μ ν {\displaystyle T_{\mu \nu }} is the stress–energy tensor. All tensors are written in abstract index notation. Matching the theory's
General_relativity
Physical concept
components of stress-energy tensor of the system, taking into account fields, gives an integral vector that is not a four-vector. The stress-energy tensor of electromagnetic
Electromagnetic_mass
Relativistic vector field
in the form of a rank two tensor – the electromagnetic tensor. The 16 contravariant components of the electromagnetic tensor, using Minkowski metric convention
Electromagnetic four-potential
Electromagnetic_four-potential
Solution of Einstein field equations
1949 by Kurt Gödel, of the Einstein field equations in which the stress–energy tensor contains two terms: the first representing the matter density of
Gödel_metric
Recoil force on accelerating charged particle
radiation reaction force is unnecessary, introducing a corresponding stress-energy tensor that naturally conserves energy and momentum in Minkowski space and
Abraham–Lorentz_force
Surface integral of the magnetic field
weber (Wb; in derived units, volt–seconds or V⋅s), and the CGS unit is the maxwell. Magnetic flux is usually measured with a fluxmeter, which contains measuring
Magnetic_flux
Loops of electric current induced within conductors by a changing magnetic field
Maxwell equations in curved spacetime Relativistic electromagnetism Stress–energy tensor Synchrotron radiation Bremsstrahlung Scientists Ampère Arago Biot
Eddy_current
Form of energy
convention. Noting the thermodynamic connection between stress tensor components and strain tensor components, σ i j = ( ∂ f ∂ ε i j ) T , {\displaystyle
Elastic_energy
Branch of physics
involves using computer programs to compute approximate solutions to Maxwell's equations to calculate antenna performance, electromagnetic compatibility
Computational electromagnetics
Computational_electromagnetics
Line integral of the electric field
that is added or subtracted from the integral. In electrostatics, the Maxwell-Faraday equation reveals that the curl ∇ × E {\textstyle \nabla \times
Electric_potential
Equation in physics
homogeneous electromagnetic wave equations, which follow from Maxwell's equations. For reference, Maxwell's equations are summarized below in SI units and Gaussian
Inhomogeneous electromagnetic wave equation
Inhomogeneous_electromagnetic_wave_equation
Predecessor to the theory of relativity
taken the trace of the stress–energy tensor (with contributions from matter plus any non-gravitational fields) using the metric tensor g a b {\displaystyle
Nordström's theory of gravitation
Nordström's_theory_of_gravitation
Yielding mechanism in polymers
initiation of crazing typically requires a dilative component in the stress tensor and can be inhibited by applying hydrostatic pressure. From a solid
Crazing
Opposition of a circuit to a current when a voltage is applied
circuit analysis was by Johann Victor Wietlisbach in 1879 in analysing the Maxwell bridge. Wietlisbach avoided using differential equations by expressing
Electrical_impedance
Hypothetical particle dual to the photon
magnetic charges), which causes problems for the stress–energy, spin, and orbital angular momentum tensors. To resolve this issue, a dual symmetric Lagrangian
Dual_photon
Charles-Augustin de Coulomb, Michael Faraday, Carl Friedrich Gauss and James Clerk Maxwell. In the 19th century it had become clear that electricity and magnetism
History of electromagnetic theory
History_of_electromagnetic_theory
French physicist and mathematician (1775–1836)
Academy of Science. Probably the highest recognition came from James Clerk Maxwell, who in his Treatise on Electricity and Magnetism named Ampère "the Newton
André-Marie_Ampère
Model of electrically conducting fluids
must be treated separately. This description is more closely tied to Maxwell's equations because an evolution equation for the electric field exists
Magnetohydrodynamics
Electromagnetic opposition to change
Richard P. Feynman. Famous 19th century electrodynamicist James Clerk Maxwell called this the "electromagnetic momentum". Yet, such a treatment of fields
Lenz's_law
travel, tourism, insurance
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
MAXWELL STRESS-TENSOR
travel, tourism, insurance