摘要
基于胡海昌教授提出的一类不含强奇异积分的新型面力边界积分方程 ,针对含平面裂纹三维有限体问题给出了的数值分析和半解析数值分析裂式 .文中对含圆裂纹或裂纹系的厚板、圆柱 ,以及含垂直于表面的椭圆裂纹的矩形板等有关问题进行了具体求解 ,求得了相应的应力强度因子 .将文中计算结果与已有结果比较表明 ,该方法具有较高的精度 。
The new type traction boundary integral equations which were developed by Hu and include no hypersingular integral are applied to analyze 3D finite cracked bodies. A numerical algorithm for general 3D problems and a semi analytical one for axi symmetric problems are presented. Some examples about thick plates and cylindrical columns including penny shaped crack(s), and rectangular plates including an elliptical crack normal to the surface are analyzed. The comparison between present results and those in the literature shows the high accuracy and effectiveness of the present method.
出处
《固体力学学报》
CAS
CSCD
北大核心
2001年第3期256-262,共7页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金 (批准号 19972 0 6 0 )
同济大学教育部固体力学重点实验室基金资助
关键词
主值积分
裂纹
应力强度因子
面力边界积分方程
三维有限体
principal integral, traction boundary integral equaiton method, crack, stress intensity factor, three dimensional finite body
