Using relation (8 5 4) 1 along with Hookes law for plane stress, show that the surface stresses under a frictionless indenter are given by the hydrostatic state x y p(x) This situation would tend to restrict the surface layer to deform plastically under such loading Equation 8 5 4 dx duy dx 1 v E 2...

Using relation (8.5.4) 1 along with Hookes law for plane stress, show that the surface stresses under

Question:

Using relation (8.5.4)₁ along with Hooke’s law for plane stress, show that the surface stresses under a frictionless indenter are given by the hydrostatic state Ꝺ̅x = Ꝺ̅_y = – p(x). This situation would tend to restrict the surface layer to deform plastically under such loading.

Equation 8.5.4