Application of tensor theory in engineering
Tensor theory is extremely useful in advanced engineering theory. It is used to help describe or model many natural phenomenon related to physical forces, potential fields, wave propagation, etc. and predict the approximate response of design components.
Specific examples are:
dynamics of systems of rigid (assumed incompressible) bodies and particles
stress and strain within elastic bodies
electromagnetics Maxwell's Equations
fluid dynamics Navier-Stokes Equations
(Both aerodynamics and hydrodynamics)