Some observations on the path stability in fracture propagation for biaxially stressed plates

Alpa, G.; Bozzo, E.; Gambarotta, Luigi

doi:10.1016/0013-7944(80)90010-7

Cited by 6 publications

(3 citation statements)

References 15 publications

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“…Several studies have been completed to estimate the initial crack growth direction under mixed mode , 2012, Aliha et al 2010, but little research studies have been performed for estimating the mixed mode crack growth path. Studies to determine the crack growth path have led to two main methods (Leevers et al 1976, Maiti & Prasad 1980, Alpa et al 1980, Maiti & Smith 1983, Sumi 1985: (1) Incremental crack growth method and (2) the fracture threshold method. In the first method, the gradual crack growth is modeled based on the one of the critical mechanical parameters, such as the strain energy density, strain energy release rate or stress intensity factor.…”

Section: Introductionmentioning

confidence: 99%

Crack growth path prediction for the angled cracked plate using higher order terms of Williams series expansion

Mirlohi¹,

Aliha²

2013

10.5267/j.esm

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The amount of damage induced by brittle fracture of cracked bodies depends considerably on the path of fractures. Therefore, prediction of the trajectory of fracture using suitable theoretical fracture criteria is very important for cracked structures. In this paper, using higher-order terms of Williams's series expansion and the maximum tangential stress criterion, the mixed mode I/II crack growth path of an angled crack plate subjected to biaxial far field loading is investigated theoretically. To evaluate the accuracy of the theoretical results, they are compared with the experimentally reported trajectories for the angled crack plate specimen. It is shown that by taking into account the higher order terms of the Williams series expansion a very good agreement is observed between the experimental and theoretical mixed mode fracture paths in the angled crack problem. It was also observed that the theoretically determined initial angle of crack growth is consistent with the experimental results. }}

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Section: Introductionmentioning

confidence: 99%

Crack growth path prediction for the angled cracked plate using higher order terms of Williams series expansion

Mirlohi¹,

Aliha²

2013

10.5267/j.esm

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“…Chen et al [6] have analyzed crack problems of parabolic shape, sine shape and snake shape in an infinite plate. Other curved crack problems have been analyzed by an approximate method using the first order solution [4,7] and using the solution of the circular-arc crack [8,9]. However, little attention has been given to the relation between curvature at the tip of the curved crack and the stress intensity factor.…”

Section: Introductionmentioning

confidence: 99%

“…Circular-arc edge crack in a semi-Division of the integration interval.for this problem can be formulated by means of the body force method[1][2][3][4][5][6][7][8][9][10][11]15]. This method uses the stress field induced by two kinds of standard set of force doublets in an infinite plate as a fundamental solution.…”

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confidence: 99%

Effect of curvature at the crack tip on the stress intensity factor for curved cracks

Noda

Oda

1993

Int J Fract

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In this paper, the numerical solution of the hypersingular integral equation using the body force method in cucved crack problems is presented. In the body force method, the stress fields induced by two kinds of standard set of force doublets are used as fundamental solutions. Then, the problem is formulated as a system of integral equations with the singularity of the form r-2. In the numerical calculation, two kinds of unknown functions are approximated by the products of the fundamental density functions and power series. The calculation shows that the present method gives rapidly converging numerical results for curved cracks under various geometrical conditions, In addition, a method of evaluation of the stress intensity factors for arbitrary shaped curved cracks is proposed using the approximate replacement to a simple straight crack.

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Crack paths in sheets of brittle material

Viola

Piva

1984

Engineering Fracture Mechanics

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Some observations on the path stability in fracture propagation for biaxially stressed plates

Cited by 6 publications

References 15 publications

Crack growth path prediction for the angled cracked plate using higher order terms of Williams series expansion

Crack growth path prediction for the angled cracked plate using higher order terms of Williams series expansion

Effect of curvature at the crack tip on the stress intensity factor for curved cracks

Crack paths in sheets of brittle material

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