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纤维增强复合材料币状I型裂纹桥联问题
引用本文:何力军,吕国志.纤维增强复合材料币状I型裂纹桥联问题[J].飞机设计,2002(2):6-10.
作者姓名:何力军  吕国志
作者单位:1. 宁夏大学物理与电器工程系,银川,750021
2. 西北工业大学飞机系,西安,710072
摘    要:利用平面等效方法,将轴对称币状裂纹问题转化平面裂纹问题,由此给出复合材料内币状Ⅰ型裂纹的桥联积分控制方程。对权函数法应用于求解币状裂纹问题的可行性提出质疑,并给出修正的建议。然后对币状Ⅰ型裂纹桥联问题给予了断裂力学分析。利用一种新的分段插值方法求解了桥联积分控制方程。针对该积分程提出了一种近似分析解法,其结果与数值结果符合得相当好。

关 键 词:纤维增强  复合材料  桥联  币状裂纹  积分方程  权函数  断裂力学

THE PENNY-SHAPED CRACK WITH BRIDGE-TOUGHENING IN FIBER REINFORCED COMPOSITES
Abstract:The integral equation governing bridge-toughening of penny-shaped crack in a fiber reinforced composite is obtained by using an equivalent method .The weight function method is called in question because of its weakness in solution penny-shaped crack problem and an amendment suggestion is given . Then a detailed fracture mechanics analysis of the penny-shaped crack's bridge-toughening is presented. A numerical result of the governing integral equation is obtained by using a new interpolation method. An approximate analytical solution of the equation is also provided which is in good agreement with numerical results.
Keywords:penny crack  integral equation  weight function  Interpolation  
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