含整圈周向裂纹厚壁圆筒在内压和轴力共同作用下的极限载荷-简化滑移线场解

Limit Loads of Thick-Walled Cylinders with a Fully-Circumferential Crack under Combined Internal Pressure and Axial Tension Based on Slip-Line Field Method

采用简化的滑移线场理论,推导出了含整圈环向裂纹厚壁圆筒在内压和轴力共同作用下的理想弹塑性材料极限载荷表达式,并采用有限元方法进行了验证。结果表明,对于含内表面裂纹的圆筒,其极限载荷解可由基于简化滑移线场的极限载荷解与无裂纹圆筒极限载荷解共同确定。有限元验证结果显示,理论解与有限元结果非常一致,且偏于保守。对含外表面裂纹的圆筒,其基于简化滑移线场的极限载荷解只适用于非常深的裂纹。其它情况建议使用基于Mises准则的解。

Based on slip-line field method, limit load solutions for thick-walled cylinders without defects and with a fully-circumferential inner crack under combined internal pressure and axial tension are derived, considering the elastic-perfectly-plastic material model. Numerical examples show that the solutions in this paper for the cylinder with inner crack agree well with the results of the elastic perfectly-plastic finite element analysis, and are conservative. For cylinder with inner crack, its limit load solution based on simplified slip-line field is only applicable for the very deep cracks. For other cases, the limit loads based on Mises criterion is proposed instead.