Objective Tensors and Objective Constitutive Relations - Lesson 2

In this video, it will be seen what will happen to the constitutive relations for the change of observer seen in the previous lesson. It will be seen what it means to have invariance with rigid motion and what it means to have constitutive relations for the invariance. The constitutive relations will be shown as an example. The invariance of constitutive rotations under rigid motion is discussed. Objective scalars, vectors, and tensors are defined. Tensor constitutive relation is shown for an ideal fluid and the rule it follows is discussed.

The discussion continues and the focus is on spatial velocity tensor that is important in studying fluids and mainly non-ideal fluid. The derivations done here and till now will help in upcoming lessons to study the hyperplastic and viscous fluids functions.