十字型截面杆塑性屈曲的精确解

Exact Analytical Solutions of the Inelastic Buckling of a Cruciform Column

对初始各向同性且率无关的材料，用Ｊ２流动理论求得了十字型截面杆扭转屈曲的三维解析精确解．比较精确解和用板理论得到的近似解，证明了用板理论求解板的塑性屈曲问题是足够精确的，由此证明了塑性屈曲佯谬并不是板理论的误差所引起的．

The exact critical compressive stresses are obtained with the threedimensional theory for twisting bifurcation of a cruel form column, of which the material with a smooth yield surface and obeying the normality flow rule is initially isotropic and time-independent. It is shown that the critical stresses obtained with plate theories are accurate in comparison with the exact ones,so the plastic buckling paradox is not resulted from the error of plate theories.