含共线分布多裂纹板的剩余强度  

Residual Strength of Plates with Multiple Collinear Cracks

作　　者：郭树祥[1] 许希武[1] 

机构地区：[1]南京航空航天大学航空宇航学院,南京210016

出　　处：《南京航空航天大学学报》2006年第1期16-21,共6页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：江苏省自然科学基金(BK99117)资助项目;教育部跨世纪优秀人才计划;教育部优秀青年教师基金资助项目

摘　　要：采用各向异性体平面弹性理论中的复势方法,应用保角映射技术和F aber级数展开,导出在任意载荷作用下多裂纹板应力场的级数解,引入当量屈服应力修正裂尖塑性区,并利用Sw ift韧带屈服准则建立含共线分布多裂纹结构的剩余强度分析模型,计算结果与试验结果吻合较好。文中还讨论了各裂纹参数对结构剩余强度的影响。计算结果表明,本文以当量屈服应力代替材料屈服应力,避免了复杂的弹塑性分析,思路简单有效,便于工程应用。Based on the complex potential method about the plane theory of the elasticity of an anisotropic body, stress distributions in the plate with multiple cracks are obtained by using the conformal mapping and the Faber series expansion. The equivalence yield stress considers the effect on plastic zones. The Swift strip yield criteria is used to predict the residual strength of plate containing multiple collinear cracks. Agreements are achieved between the estimated results and the experimental data. Effects on the crack length and the distance between neighboring cracks of the plate are also studied. Results indicate that the method is convenient to be used in engineering.

关 键 词：剩余强度 塑性区 复势方法 多裂纹 屈服准则 Faber级数 

分 类 号：O346.1[理学—固体力学]