含裂纹平面问题Erdogan基本解的显式表达

发布时间：2018-01-20 08:34

本文关键词： 断裂力学 Erdogan基本解显式表达样条虚边界元法　出处：《应用数学和力学》2017年09期 　论文类型：期刊论文

【摘要】：基本解是边界元法、基本解法和无网格法等数值方法的重要理论基础.在断裂问题中,采用含裂纹的基本解可以避免将裂纹表面作为边界条件,从而大大简化问题的求解.在复变函数表示的含裂纹平面问题Erdogan基本解的基础上,对Erdogan基本解的使用条件进行了注解,修正了Erdogan基本解的一些错误,并推导出Erdogan基本解中位移函数解答的显式表达形式.编写了基于Erdogan基本解显式表达的样条虚边界元法(spline fictitious boundary element method,SFBEM)计算程序,计算了具有复合边界条件平面问题的位移、应力和应力强度因子.数值算例结果表明了该文提出的Erdogan基本解显式表达形式的正确性.
[Abstract]:The basic solution is the boundary element method, an important theoretical basis for the numerical method of fundamental solution and meshless method. The fracture problem, the basic can avoid the crack surface as the boundary condition solution containing a crack, which greatly simplifies the solving problem. The basic plane problem of crack Erdogan in the complex function representation of the fundamental solution of the the basic solution, the use of Erdogan conditions of the notes, corrected some errors in the Erdogan basic solution, explicit expression and fundamental solution of the displacement function is derived in the form of Erdogan solution. The prepared Erdogan fundamental solutions of the explicit expression of the spline fictitious boundary element method based on (spline fictitious boundary element method SFBEM) program has the plane problem of composite, displacement boundary condition calculation, stress and stress intensity factor. The numerical results show that the proposed Erdogan fundamental solution explicit right .

【作者单位】：华南理工大学土木与交通学院;亚热带建筑科学国家重点实验室(华南理工大学);
【基金】：国家自然科学基金(面上项目)(51378009) 高等学校博士学科点专项科研基金新教师类课题(20110172120038) 中央高校基本科研业务费(2015ZM116) 国家级大学生创新创业训练计划项目(201610561171)~~
【分类号】：O346.1
【正文快照】： 2.亚热带建筑科学国家重点实验室(华南理工大学),广州510640)引言断裂力学在结构、机械、岩土、抗震等工程领域已得到越来越广泛的应用[1-3].工程结构或者机械构件带裂纹工作,都会一定程度上影响到结构的强度和刚度,考虑裂纹引起的断裂问题本解[10],对裂纹问题进行边界元列式.

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