Question

What is the Navier's equation of equilibrium in the case of plane strain?​

Answer 1

Step-by-step explanation:

Tresca yield criterion depends on Poisson's ratio because it influences the magnitude of σ3 relative to σ2. Since σ3 can be expressed as

σ3=ν(σ1+σ2)

it is easy to show that when θ ≥ 0,

(6.56) σ1≥σ2≥σ3, ifν≤

σ2

σ1+σ2

and

(6.57) σ1≥σ3≥σ2, ifν≥

σ2

σ1+σ2