Application of tensor theory in engineering: Difference between revisions

Latest revision as of 08:05, 22 February 2011

Tensors are frequently used in engineering to describe measured quantities.

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-Tensor theory is extremely useful in advanced engineering theory.  It is used to help describe or model many natural phenomenon such as: physical forces, potential fields, particle or control element motion, wave propagation, etc.
+[[Tensor]]s are frequently used in [[engineering]] to describe measured [[physical quantity|quantities]].
-Constructions notes:
+== Common applications ==
-:A<sup>i'</sup><sup>j'</sup><sub>k'</sub> = x<sup>i'</sup><sub>i</sub> x<sup>j'</sup><sub>j</sub> y<sup>k</sup><sub>k'</sub> A<sup>i</sup><sup>j</sup><sub>k</sub>
+* Measuring [[deformation]]s ([[finite deformation tensors]]) and [[Strain (materials science)|strain]] ([[strain tensor]]) in [[continuum mechanics]]
+* Representing [[diffusion]] as a tensor in [[diffusion tensor imaging]]
-Specific examples are:
+== See also ==
-aeronautical engineering
+* [[Application of tensor theory in physics]]
+* [[Mathematical physics]]
+* [[Tensor]]
-  [[Navier-Stokes equations]]  Presented in partial differential equation form.
+[[Category:Tensors]]
+{{ntnes}}
-:[[Vorticity]] is an important quantity in various research, modeling and design calculations regarding lift, drag, and propulsion.  It is a tensor quantity defined as:   insert gif here when available.
-[[Continuum mechanics]]
-dynamics of systems of rigid (assumed incompressible) bodies and particles
-stress and strain within elastic bodies
-electromagnetics        Maxwell's Equations
-hydrodynamics