拉压模量不同厚壁圆筒轴对称问题应力分析

Analysis on stress of thick cylinder with different modulus of tension and compression

岩石类材料(包括混凝土材料)的弹性模量和泊松比在受拉与受压状态下是有明显差异的,推导了拉压弹性模量不同的厚壁圆筒轴对称问题的弹性力学解答。结果表明:不同的拉压模量对径向应力几乎没有影响,而对环向应力分布有显著影响。当受压模量与受拉模量比值介于0.25～4之间时,采用等模量的应力解答引起的误差在工程上处于可以接受的范围之内。

The elastic modulus and Poisson＇s ratio of rocky materials （including concrete materials） in tension and compression state has a significant difference. The paper deduced the thick-walled cylindrical axisymmetric elastic mechanics answer for different elasticity of the compressive and tensile elastic modulus. The results showed that different tension and compression modulus has almost no effect on radial stress, but has a signifi- cant effect on hoop stress distribution. When the compression modulus and tensile modulus values ranged from 0.25 to 4, the error caused by using the modulus of the stress is acceptable within the scope of engineering.