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| 断裂力学中的两类奇异积分方程 | |
| 引用本文： | 汤任基. 断裂力学中的两类奇异积分方程[J]. 上海交通大学学报, 1990, 0(Z1) |
| 作者姓名： | 汤任基 |
| 作者单位： | 上海交通大学 |
| 基金项目： | 国家自然科学资助项目. |
| 摘 要： | 本文利用边界积分方程方法,统一地导出了三维断裂力学现有文献中遇到的柯西主值型和强奇性型的两类奇异积分方程,经过退化处理,还得到了平面断裂力学的相应结果.此外,文中结合带裂纹柱体的扭转问题,介绍了作者将以上两类奇异积分方程用于裂纹切割解法研究而得到的新结果. |
| 关 键 词： | 断裂力学 柯西主值 强奇性积分方程 裂纹切割法 |
Two Classes of Singular Integral Equations in Fracture Mechanics |
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| Tang Renji. Two Classes of Singular Integral Equations in Fracture Mechanics[J]. Journal of Shanghai Jiaotong University, 1990, 0(Z1) | |
| Authors: | Tang Renji |
| Abstract: | Using the method of boundary integral equations,two classes ofsingular integral equations,i.e.,the Cauchy principal-value type and thestrongly singular type,are derived uniformly,which are encountered in presentreferences of three-dimensional fracture mechanics.Through degeneration,thecorresponding results of the plane fracture mechanics are also obtained.Also,several new results are introduced here,which are obtained by the authorin his studies of the crack-cutting method for the torsion problems of thecracked cylinders by means of the above integral equtions. |
| Keywords: | fracture mechanics singular integral equetions of Cauchy principalvalue singular integral equations of strong singularity crack-cutting method |
| 本文献已被 CNKI 等数据库收录！ | |