Since 1963
ARTICLE
Analysis and calculation of stress intensity factors for type I cracks on the edge of elliptical holes under internal pressure
1
College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao, China
2
State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, China
These authors had equal contribution to this work
Submission date: 2023-07-11
Final revision date: 2023-11-26
Acceptance date: 2023-12-01
Online publication date: 2024-01-26
Publication date: 2024-01-31
Corresponding author
Yaxin Liu
College of Energy and Mining Engineering, Shandong University of Science and Technology, China
College of Energy and Mining Engineering, Shandong University of Science and Technology, China
Journal of Theoretical and Applied Mechanics 2024;62(1):157-169
KEYWORDS
Muskhelishvili complex functionstress intensity factorsingle elliptical fissureholenumerical simulation
TOPICS
ABSTRACT
The stress intensity factor and stress field expression for long cracks near an infinite-length
plate bore are calculated using the Muskhelishvili Complex Function Approach. It applies
to engineered bore edge cracks, especially under the condition in which the elliptical bore
is subjected to internal pressure or only the surface of the crack is subjected to internal
pressure. The formula is validated by numerical simulation and applies both to elliptical and
circular holes. The variation of stress intensity factor with crack length is analyzed when the
special round hole is only subjected to internal pressure. It has practical application value
in fracture engineering.
REFERENCES (25)
1.
Alderliesten R.C., 2007, On the available relevant approaches for fatigue crack propagation prediction in GLARE, International Journal of Fatigue, 29, 2, 289-304.
2.
Aliabadi M.H., Rooke D.P., Cartwright D.J., 1987, An improved boundary element formulation for calculating stress intensity factors: Application to aerospace structures, The Journal of Strain Analysis for Engineering Design, 22, 4, 203-207.
3.
Andrasic C.P., Parker A.P., 1984, Dimensionless stress intensity factors for cracked thick cylinders under polynomial crack face loadings, Engineering Fracture Mechanics, 19, 1, 187-193.
4.
Bakuckas J.G., 2001, Comparison of boundary correction factor solutions for two symmetric cracks in a straight-shank hole, Engineering Fracture Mechanics, 68, 9, 1095-1106.
5.
Bowie O.L., 1956, Analysis of an infinite plate containing radial cracks originating at the boundary of an internal cirular hole, Journal of Mathematics and Physics, 35, 60.
6.
Bowie O.L., 1964, Rectangular tensile sheet with symmetric edge cracks, Journal of Applied Mechanics, 31, 2, 208-212.
7.
Brennan F.P., Teh L.S., 2004, Determination of crack-tip stress intensity factors in complex geometries by the composition of constituent weight function solutions, Fatigue and Fracture of Engineering Materials and Structures, 27, 1.
8.
Chen F., Sun Z., Xu J., 2001, Mode I fracture analysis of the double edge cracked Brazilian disk using a weight function method, International Journal of Rock Mechanics and Mining Sciences, 38, 3, 475-479.
9.
Deng P., Matsumoto T., 2017, Weight function determinations for shear cracks in reinforced concrete beams based on finite element method, Engineering Fracture Mechanics, 177, 61-78.
10.
Fett T., 1992, Direct determination of weight functions from reference loading cases and geometrical conditions, Engineering Fracture Mechanics, 42, 3, 435-444.
11.
Gao C.F., Kessler H., Balke H., 2003a, Crack problems in magnetoelectroelastic solids. Part I: Exact solution of a crack, International Journal of Engineering Science, 41, 9, 969-981.
12.
Gao C.F., Kessler H., Balke H., 2003b, Crack problems in magnetoelectroelastic solids. Part II: General solution of collinear cracks, International Journal of Engineering Science, 41, 9, 983-994.
13.
Guo T., Qu Z., Gong F., Wang X., 2017, Numerical simulation of hydraulic fracture propagation guided by single radial boreholes, Energies, 10, 10, 1680-1692.
14.
Hasebe N., Chen Y.Z., 1996, Stress intensity solutions for the interaction between a hole edge crack and a line crack, International Journal of Fracture, 77, 351-366.
15.
Li S., He T., Yin X., et al., 2010, The Introduction of Rock Fracture Mechanics (in Chinese), Hefei: University of Science and Technology of China Press.
16.
Parker A.P., Andrasic C.P., 1983, On the determination of stress intensity factors for cracked thick cylinders, MRS Online Proceedings Library (OPL), 22, 1, 227.
17.
Xu W., Wu X.R., Yu Y., Li Z.H., 2018, A weight function method for mixed modes hole-edge cracks, Fatigue and Fracture of Engineering Materials and Structures, 41, 1, 223-234.
18.
Xu Y., Yang J., 2022, Anti-plane fracture problem of a regular hexagonal hole with radial edge cracks in piezoelectric/piezomagnetic composites (in Chinese), Chinese Quarterly Of Mechanics, 43, 1, 149-158.
19.
Yan X., 2007, Rectangular tensile sheet with single edge crack or edge half-circular-hole crack, Engineering Failure Analysis, 14, 7, 1406-1410.
20.
Zhang W., Guo W.Y., Wang Z.Q., 2022, Influence of lateral pressure on mechanical behavior of different rock types under biaxial compression, Journal of Central South University, 29, 11, 3695-3705.
21.
Zhang W., Zhao T.B., Zhang X.T., 2023a, Stability analysis and deformation control method of swelling soft rock roadway adjacent to chambers, Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 9, 1, 91.
22.
Zhang, W., Zhang B.L., Zhao T.B., 2023b, Study on the law of failure acoustic-thermal signal of weakly cemented fractured rock with diferent dip angles, Rock Mechanics and Rock Engineering, 56, 6, 4557-4568.
23.
Zhao J., Xie L., Liu J., Zhao Q., 2012, A method for stress intensity factor calculation of infinite plate containing multiple hole-edge cracks, International Journal of Fatigue, 35, 1, 2-9.
24.
Zhou J., Wang G., Li L., et al., 2020, Truncated conformal mapping approach for four cracks with unequal length emanating from elliptical hole-edge in infinite plates (in Chinese), Journal of Inner Mongolia Normal University (Natural Science Edition), 49, 1, 35-38.
25.
Zhu Q., Han F., Sui M., 2016, Stress intensity factors and crack-surface opening displacements for two cracks emanating from a circular hole in an infinite plate, Acta Aeronautica et Astronautica Sinica, 37, 3, 883-893.
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