拉压性能不同材料全量型本构关系及厚壁筒的应力分析

Constitutive Equation of Deformation Theory for Materials with Different Behaviors in Tension and Compression and Stress Analysis of Thick-Wailed Tube

将经典全量理论作了推广,考虑了应力状态及塑性体积变形对拉压性能不同材料的塑性行为的影响。应用该本构模型分别计算了厚壁筒在内压和外压作用下的应力分布。给出了径向应力、环向应力和轴向应力沿壁厚的分布图。将本文的计算解与拉压性能相同(不考虑体积变形、强化曲线唯一)的幂函数强化材料的厚壁筒的理论解进行了比较。结果表明,材料的拉压性能不同对厚壁筒的环向应力和轴向应力影响较大。因此,对于拉压性能不同材料,考虑到其对应力状态及塑性体积变形敏感时,是不能将其简化成拉压性能相同、体积不可压缩、强化曲线唯一的理想材料。

Under the condition of considering the influence of the stress state and plastic deformation of volume on the plastic behavior of the materials with different behavior in tension and compression, the constructive equation of deformation theory for the ideal materials of same behavior under tension and compression was generalized, and the modified constructive equation was used to analyze the stress distri-bution. The stress distributional curves of radial stress, circumferential stress and the axial stress on thickness were given. Comparing the calculations with the theoretical solution of the ideal material, it is shown that the influence of the stress state and plastic deformation of volume on the circumferential stress and the axial stress is significant. Therefore, regarding the effect of sensitivity of stress state and plastic deformation of volume, the materials with different behavior in tension and compression cannot be simplified as the ideal materials.