Index notation for tensors and vectors
An introduction to index notation for vectors and tensors in continuum mechanics.
Tagged: algebra
Deviatoric stress and invariants
Definition of the hydrostatic and deviatoric parts of the stress tensor and calculation of the invariants of the deviatoric stress tensor.
Principal stresses and stress invariants
Derivation of the principal stresses and the stress invariants from the Cauchy stress tensor.
Calculation of normal and shear stress on a plane
How to calculate the normal and shear stress on an arbitrary plane through a point of a body in equilibrium.
Transformation of a tensor to a new coordinate system
Rotation of a tensor into a new coordinate system, with application to the Cauchy stress tensor.