Cracks at the edge of an elliptic hole in out of plane shear

Tweed, J.; Melrose, G.

doi:10.1016/0013-7944(89)90135-5

Cited by 10 publications

(2 citation statements)

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“…Using the mapping function given in Bowie (1956), Hsu (1975) determined the stress intensity factors at the tip of a radial crack emanating from a circular hole in an infinite isotropic sheet under uniform and arbitrary in-plane stress, and then discussed the influence of varying crack length-to-hole radius on the stress fields. Tweed and Melrose (1989) addressed the anti-plane problem of one and two cracks at the edge of an elliptic hole in an infinite isotropic material according to integral transforms method. For the case of anisotropic materials, however, it is exceedingly difficult to obtain closedform solutions for a crack originating a hole in an infinite anisotropic plane under in-plane loads.…”

Section: Introductionmentioning

confidence: 99%

The mode III cracks originating from the edge of a circular hole in a piezoelectric solid

Wang

Gao

2008

International Journal of Solids and Structures

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a b s t r a c tA mode III fracture problem of edge cracks originating from a circular hole in an infinite piezoelectric solid is studied based on complex variable method combined with the method of conformal mapping. Explicit and exact expressions for the complex potentials, field intensity factors and energy release rates are presented under the assumption that the surface of the cracks and hole is electrically impermeable. Numerical analysis is then conducted to discuss the influences of crack length and applied mechanical/electric loads on the field intensity factors and energy release rate for one and two edge cracks, respectively. It is found that for the case of a single edge crack, the field intensity factors are greater than those of double edge cracks, and moreover the electric loads can either promote or retard crack growth, depending on the magnitude and direction of the applied electric loads.

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Section: Introductionmentioning

confidence: 99%

The mode III cracks originating from the edge of a circular hole in a piezoelectric solid

Wang

Gao

2008

International Journal of Solids and Structures

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“…ISIDA, et al [11] , YAN [12] , and GUO, et al [13][14] , calculated the SIF for a single edge crack or a pair of symmetrical edge cracks originating from an elliptical hole in an infinite plate under tension. TWEED, et al [15][16] , used integral transforms to obtain mode III SIF for cracks of unequal length at the edge of an elliptic hole in an infinite elastic solid. GUO, et al [17][18] , studied the anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole in a piezoelectric material through the complex variable method.…”

Section: Introduction mentioning

confidence: 99%

Analytical solutions of cracks emanating from an elliptic hole in an infinite plate under tension

Liu

Duan

2014

Chin. J. Mech. Eng.

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It is a common phenomenon that the cracks originating from a hole can cause structural damage in engineering. However, the fracture mechanics studies of hole edge crack problems are not sufficient. The problem of an elliptical hole with two collinear edge cracks of unequal length in an infinite plate under uniform tension at infinity is investigated. Based on the complex variable method, the analytical solutions of stress functions and stress intensity factors are provided. The stress distribution along the axes and the edge of the elliptical hole is given graphically. The numerical results show that there is obvious stress concentration near the hole and cracks, and the stresses tend to applied loads at distances far from the defect, which conform to Saint-Venant's principle. Hence, the stress functions are proved to be right. Under special conditions, the present configuration becomes the Griffith crack, two symmetrical cracks emanating from an elliptical hole, two cracks of unequal length emanating from a circular hole, a crack at the edge of a circular hole, or a crack emanating from an elliptical hole. Compared with available results, stress intensity factors for these special shapes of ellipses and cracks show good coincidence. The stress intensity factor for two cracks of unequal length at the edge of an elliptical hole increases with the crack length and the major-to-minor axis ratio of the elliptical hole. The stress distribution in an infinite plate containing an elliptic hole with unsymmetrical cracks is given for the first time.

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Calculation of mode III stress intensity factors by the weak-form quadrature element method

Liao

Tang

2015

Arch Appl Mech

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Cracks at the edge of an elliptic hole in out of plane shear

Cited by 10 publications

References 1 publication

The mode III cracks originating from the edge of a circular hole in a piezoelectric solid

The mode III cracks originating from the edge of a circular hole in a piezoelectric solid

Analytical solutions of cracks emanating from an elliptic hole in an infinite plate under tension

Calculation of mode III stress intensity factors by the weak-form quadrature element method

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