COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE

ZHU QingYu; ZHOU Rui

doi:10.16579/j.issn.1001.9669.2019.04.034

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COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE

更新时间：2022-09-22

- COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE
- Journal of Mechanical Strength Vol. 41, Issue 4, Pages: 983-987(2019)
- 作者机构：
  
  1. 中国航空综合技术研究所
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2019.04.034
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ZHU QingYu, ZHOU Rui. COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE. [J]. 41(4):983-987(2019)
DOI：

ZHU QingYu, ZHOU Rui. COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE. [J]. 41(4):983-987(2019) DOI： 10.16579/j.issn.1001.9669.2019.04.034.

摘要

为了求解椭圆孔边二维裂纹尖端的应力强度因子,提出一种基于Muskhelishvili复变函数理论和有限截项原则的应力强度因子求解方法。首先将超越函数形式的保角映射函数展开为有限项级数,然后利用复变函数理论推导出应力函数,从而求解椭圆孔边任意长度双裂纹的复合型应力强度因子。与其他解法相比,本文方法的计算结果有效,且适用性更广、计算效率更高。算例表明,椭圆孔边裂纹的无量纲应力强度因子受椭圆孔半轴比、裂纹长度和应力夹角的综合影响。

Abstract

In order to calculate the stress intensity factors of two-dimensional cracks emanating from elliptical hole, a solution method for stress intensity factor based on Muskhelishvili complex function theory and truncated conformal mapping approach is proposed in this paper. Firstly, the conformal mapping function formed by the transcendental function is expanded into a series with finite terms, and then the stress function is derived by using the complex function theory, so as to solve the mixed-mode stress intensity factors for two cracks of arbitrary length from an elliptical hole. Compared with other methods, the presented method is more applicable and efficient, the results are reliable. The results of examples show that the non-dimensional stress intensity factors for double cracks from an elliptical hole are under comprehensive impact of the elliptical hole semi-axes ratio, crack length and angle.

关键词

复变函数法椭圆孔边裂纹应力强度因子保角映射

Keywords

Complex variable function methodElliptical hole-edge cracksStress intensity factorConformal mapping

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