拉压异性材料含受压圆孔大平板的极限分析

Limit Analysis of the Infinite Plate Containing a Circular Hole under Uniform Pressure with Different Strength in Tension and Compression

探讨了广义双剪应力强度理论在平面应力状态下的屈服轨迹及其方程式 ,并用于拉压异性材料圆孔受内压的极限分析 ,得到了与拉压比有关的弹性极限内压力 ,弹塑性区的应力、弹塑性内压力与弹塑性分界半径之间的关系、塑性区的最大半径和最大内压力 。

In this paper the equations and the yield curve of the generalized Twin shear stress strength theory in the plane stress condition are proved. Then proceed the limit analysis for the infinite plate containing a circular hole under uniform pressure with different strength in tension and compression. The elastic limiting inner pressure, elastoplastic stress, the relation between inner pressure and elastoplastic zoned radius, maximum radius of plastic zone and maximum inner pressure are derived. These results are depended on tension compression ratio of the material. The calculated limits are higher than the results with Mohr strength theory. Therefore, application of the Twin shear stress strength theory may fully bring out potentialities of the material.