Consider the two-dimensional plane stress field of the form r = r (r, ),

Consider the two-dimensional plane stress field of the form σ_r = σ_r(r, θ), σ_θ = τ _rθ = 0. This is commonly referred to as a radial stress distribution. For this case, first show that the equilibrium equations reduce to:

Next integrate this result to get σ_r = f(θ)/r where f(θ) is an arbitrary function of θ. Finally using compatibility relation (7.6.6), show that the final form for the non-zero stress is given by

Equation 7.6 .6

Note that this matches with the Flamant solution given in Section 8.4 .7

Transcribed Image Text:

r or + 1 a r r (ra,) = 0