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

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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 = Ꝺ̅y = – 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 TE -p(x) p(s) -ds S at


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