COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE
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 mappin...
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Editorial Office of Journal of Mechanical Strength
2019-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.04.034 |
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| author | ZHU QingYu ZHOU Rui |
| author_facet | ZHU QingYu ZHOU Rui |
| author_sort | ZHU QingYu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-950dec6c9d0f410480da1ad25de6ce57 |
| institution | DOAJ |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2019-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-950dec6c9d0f410480da1ad25de6ce572025-08-20T02:41:57ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692019-01-014198398730605473COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLEZHU QingYuZHOU RuiIn 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.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.04.034Complex variable function methodElliptical hole-edge cracksStress intensity factorConformal mapping |
| spellingShingle | 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 Jixie qiangdu Complex variable function method Elliptical hole-edge cracks Stress intensity factor Conformal mapping |
| title | COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE |
| title_full | COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE |
| title_fullStr | COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE |
| title_full_unstemmed | COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE |
| title_short | COMPLEX VARIABLE FUNCTION SOLUTIONS OF MIXED-MODE STRESS INTENSITY FACTORS FOR TWO CRACKS OF ARBITRARY LENGTH EMANATING FROM AN ELLIPTICAL HOLE |
| title_sort | complex variable function solutions of mixed mode stress intensity factors for two cracks of arbitrary length emanating from an elliptical hole |
| topic | Complex variable function method Elliptical hole-edge cracks Stress intensity factor Conformal mapping |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.04.034 |
| work_keys_str_mv | AT zhuqingyu complexvariablefunctionsolutionsofmixedmodestressintensityfactorsfortwocracksofarbitrarylengthemanatingfromanellipticalhole AT zhourui complexvariablefunctionsolutionsofmixedmodestressintensityfactorsfortwocracksofarbitrarylengthemanatingfromanellipticalhole |