cartesian tensor

cartesian tensor

[kär′tē·zhan ′ten·sər]
(mathematics)
The aggregate of the functions of position in a tensor field in an n-dimensional cartesian coordinate system.
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References in periodicals archive ?
His topics include basis vectors and scale factors, contravarient components and transformations, metric tensor operation on tensor indices, Cartesian tensor transformation--rotations, and a collection of relations for selected coordinate systems.
(1) Modeling the FOD function by symmetric cartesian tensor of order d and dimension 3.
Stella Atkins, "Symmetric positive semi-definite cartesian tensor fiber orientation distributions (CT-FOD)," Medical Image Analysis, vol.
(11.) Applequist, J., "Traceless cartesian tensor forms for spherical harmonic functions: New theorems and applications to electrostatics of dielectric media," J.
Then the normal component of the Cartesian tensor [sigma] on that plane is, using the summation convention over repeated indices:
Snider explains the Irreducible Cartesian Tensor model that he and J.
Coverage includes the basic operations of vectors, matrices, Cartesian tensors, domain and boundary surface integrals, kinematics, kinetics, linear elasticity, and Newtonian fluid mechanics, followed by chapters on curvilinear, nonlinear, electromagnetic, and differential geometry continuum.
As the text progresses, the author uses Cartesian tensors to develop the theory of thermo-elasticity, the theory of generalized plane stress, and complex variable analysis.
A big advantage of co-rotational constitutive equations is that only Cartesian tensors are used.
First, he deals with invariant modeling of flight dynamics, laying out the mathematical foundations of modeling with Cartesian tensors, matrices, and coordinate systems.
Applied cartesian tensors for aerospace simulations.