Question

State of pure shear at a point in two dimensional plain

Answer 1

Answer:

In classical continuum mechanics a state of pure shear is defined as one for which there is some orthonormal basis relative to which the normal components of the Cauchy stress tensor vanish. An equivalent characterization is that the trace of the Cauchy stress tensor must vanish.

As we have seen in case of principal stresses, the principal stresses acts on the shear stresses are 0, whereas the planes on which the shear stresses are maximum there we do have normal stresses and the value of normal stress is ( x σ + y σ )/2.