222弹塑性应力 过程设备设计 基于Mies屈服准则的塑性区(R≤r≤R)中的残余应力为 R 1+ +2 In R 1+ 2 In R R 1+2ln 3Ro R R R R R +2In +2In 3(R R RA-R R 0 R (2-49)8 89Mises:;<= >? Ri@A@RcBC D + − + − + − ′ = + i c c i i c s c RR RR rR R R R Rr RR 1 2 ln 1 1 2 ln 3 2 0 2 0 2 2 0 2 2 0 σ σ θ + − − − − + − ′ = i c c i i c s c r RR RR rR R R R Rr RR 1 2ln 1 1 2ln 3 2 0 2 0 2 2 0 2 2 0 σ σ + − − + − ′ = i c c i i c s c z RR RR R R R Rr RR 2 ln 1 2 ln 3 2 0 2 2 0 2 2 0 σ σ 2-49 2.2.2