What is the physical meaning of tensor?
In physics and mathematics, a tensor is an algebraic construct that is defined with respect to an n-dimensional linear space V. Like a vector, a tensor has geometric or physical meaning—it exists independent of choice of basis for V—but can yet be expressed with respect to a basis.
What are the examples of tensor quantities?
Example of tensor quantities are: Stress, Strain, Moment of Inertia, Conductivity, Electromagnetism.
- Strain: Strain is actually the fractional change in length.
- Moment of Inertia: Moment of Inertia is said to be a tensor quantity.
- Conductivity:
- Elasticity:
What is physical example of a tensor of rank 2?
Other examples of second rank tensors include electric susceptibility, thermal conductivity, stress and strain. They typically relate a vector to another vector, or another second rank tensor to a scalar.
Is temperature a tensor?
Mass or temperature are scalars, for instance. On the contrary, some other physical quantities are defined with respect to coordinate system. These quantities are tensors (By the way, scalar is a tensor of zero rank).
What is a rank 3 tensor?
It is symmetric and contains 3 row vectors and 3 column vectors containing elements ai,j. It looks like a square and, as long as the two dimensions are of equal order, the matrix is always a square . a 3-rank tensor is B∈R3×3×3.
What is tensor math?
In mathematics, a tensor is an arbitrarily complex geometric object that maps in a (multi-)linear manner geometric vectors, scalars, and other tensors to a resulting tensor. Thereby, vectors and scalars themselves, often used already in elementary physics and engineering applications, are considered as the simplest tensors.
What is a second rank tensor?
A second rank tensor is defined here as a linear vector function, i.e. it is a function which associates an argument vector to another vector. A vector is itself a first rank tensor and a scalar is a tensor of rank zero.
What is a tensor quantity?
A tensor is a general quantity. A scalar has magnitude with 0 direction, hence a rank 0 tensor. A vector is a magnitude acting along a line, or 1 dimension, i.e. tensor of rank 1.