表面裂纹弹塑性分析的线弹簧模型法

Estimates of Elastic-Plastic J Integral for Surface Cracked-Plates by the Inelastic Line-spring Model

表面裂纹弹塑性分析的线弹簧模型法柴国钟，顾立成，洪起超，王勇（浙江工业大学机电工程学院杭州３１００３２）摘要利用平面应变单边裂纹板在纯拉伸和纯弯曲加载下的弹塑性有限元结果，构造了其在拉伸和弯曲组合加载下的余能表式，在此基础上，导出了ＲａｍｂｅｒｇＯｓ...

At first, the complementary energy for the single-edgecracked strip (SEC strip) undercombined tension and bending is constituted by the use of Shih's fully plastic solutions of theSEC strip under tension and bending. On the basis of this, the elastic-plastic stiffness and Jintegral for the SEC strip, with the material being following Ramberg-Osgood law, are derived. Then the elastic solution of Reissuer plate containing a through crack is corrected to beused for the elastic-plastic analysis of the line-spring model (LSM) by the introduction of anapproximate plastic correction. Although the correction adopted is very approximate, the numerical analysis of the surface-cracked plate shows that the results are in good agreement withthe ones of the three-dimensional elastic-plastic finite element method. Finally, the elasticplastic J integrals are evaluated by the present LSM for several surface-cracked plates.