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...ensity, pressure and the fluid flow vector field. When the energy-momentum tensor represents an [[electromagnetic field]], a Killing vector field does ''not ...

...to the reference configuration. This is in contrast to the [[Cauchy stress tensor]] which expresses the stress relative to the present configuration. For inf ...ls have to be invariant to pure rotations). The 1st Piola–Kirchhoff stress tensor, <math>\boldsymbol{P}</math> is one possible solution to this problem. It d ...

...ature'' 182, 1080 (18 October 1958)], {{doi|10.1038/1821080a0}}</ref> The tensor notation needs to be used because ferrimagnetic material becomes [[anisotro The tensor is described mathematically as:<ref>{{cite book|last1=Marqués|first1=Ricard ...

...ress]] is the [[Cauchy stress tensor]], often called simply ''the'' stress tensor or "true stress". However, several alternative measures of stress can be d #The [[Piola–Kirchhoff stress tensor]]s ...

...of the conserved quantities (Lipkin's <math>Z^0</math>) has an intuitive physical interpretation and is also known as '''optical chirality'''. In particular, first, Lipkin observed that if he defined the quantities ...

...ntum harmonic oscillator]] in [[quantum mechanics]], it is replaced by the tensor-valued '''Fradkin operator'''. The Fradkin tensor provides enough conserved quantities to make the oscillator's [[equations of motion]] maximally [[Superintegrabl ...

...or for low energy processes, the '''on-shell scheme''', also known as the physical scheme, is appropriate. If these conditions are not fulfilled, one can turn Two new quantities have been introduced. First the renormalized mass <math>m_r</math> has been ...

...<ref name=":1" /> In this test, the only non-zero component of the stress tensor is T₁₁.<ref name=":1" /> [[Category:Physical quantities]] ...

...est mass]] <math>\sqrt{|p_{\mu}p^{\mu}|}</math> provide the four conserved quantities necessary to uniquely determine all orbits in the [[Kerr–Newman metric|Kerr ...= Global structure of the Kerr family of gravitational fields | journal = Physical Review | volume = 174 | issue = 5 | pages = 1559&ndash;1571|doi = 10.1103/P ...

{{Short description|Tensor used in continuum mechanics}} The '''viscous stress tensor''' is a [[tensor]] used in [[continuum mechanics]] to model the part of the [[stress (mechan ...

...components of the [[Electrical conductivity|macroscopic conductivity&nbsp;tensor]] {{Mvar|σ}}, and, when plotted, appears as a [[semicircle]]. ...el |url=https://journals.aps.org/prb/pdf/10.1103/PhysRevB.50.2369 |journal=Physical Review B |volume=50 |issue=4 |pages=2369–2379 |doi=10.1103/physrevb.50.2369 ...

{{Short description|Relative deformation of a physical body}} {{Infobox physical quantity ...

...e Bekenestein's [[tensor–vector–scalar gravity]] and the Moffat's [[scalar–tensor–vector gravity]] attribute MONDian behavior to some scalar fields. GVT is The physical geometry, as seen by particles, represents the [[Finsler geometry]]–Randers ...

...are an important special case of the more general concept of a [[relative tensor]]. There are many physical quantities that are represented by ordinary scalars, such as temperature and pressure. ...

...in moment of time. It can be defined as the [[derivative]] of the [[strain tensor]] with respect to time, or as the symmetric component of the [[Jacobian mat The strain rate tensor is a purely [[kinematics|kinematic]] concept that describes the [[macroscop ...

...and [[physics]], '''vector''' is a term that refers to [[physical quantity|quantities]] that cannot be expressed by a single number (a [[scalar (physics)|scalar] ...displacement (geometry)|displacement]]s, [[force]]s and [[velocity]]. Such quantities are represented by [[geometric vector]]s in the same way as [[distance]]s, ...

! scope="col" width="100" | Physical situation * ''<math>\otimes</math>'' denotes the [[tensor product]] ...

...nd [[engineering]], particularly for describing transportation of physical quantities and deformation of matter in [[fluid mechanics]] and [[continuum mechanics] ==Vector and tensor algebra in three-dimensional curvilinear coordinates== ...

...ence and engineering|anisotropic]] [[Homogeneous media|non-homogeneous]] [[Physical body|elastic body]], resting on a [[Rigid body|rigid]] [[friction]]less [[S ...s#Formulation of models|configuration]] of the orange spherically shaped [[Physical body|elastic body]] resting on the blue [[Rigid body|rigid]] [[frictionless ...

...] quantities then objectivity is automatically satisfied. However, if the quantities are [[Continuum mechanics#Eulerian description|spatial]], then the objectiv # the ''' Truesdell''' rate of the [[Cauchy stress tensor]], ...