Research Papers: Design and Analysis

An Infinite Sequence of Collinear Cracks Subjected to Concentrated Loads

[+] Author and Article Information
Xiangqiao Yan

Research Laboratory on Composite Materials,
Harbin Institute of Technology,
Harbin 150001, China

Yintao Wei

Department of Automotive Engineering,
Tsinghua University,
Beijing 100084, China

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received September 13, 2012; final manuscript received April 1, 2013; published online September 17, 2013. Assoc. Editor: Haofeng Chen.

J. Pressure Vessel Technol 135(5), 051207 (Sep 17, 2013) (6 pages) Paper No: PVT-12-1147; doi: 10.1115/1.4024456 History: Received September 13, 2012; Revised April 01, 2013

A numerical approach to an infinite sequence of collinear cracks is presented in this paper. Numerical examples are included to illustrate the accuracy of the numerical approach. Specifically, an infinite sequence of collinear cracks subjected to concentrated loads is analyzed using the numerical approach. Many numerical results of the stress intensity factors (SIFs) are given. In addition, an experiential formula to calculate the SIFs of the infinite sequence of collinear cracks is presented. Numerical examples show that the experiential formula has very high accuracy.

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Fig. 1

A schematic of a circular hole crack in an infinite sequence of collinear circular hole cracks with the same geometry and same hole distance which are subjected to un-uniform internal pressure distribution (the hole distance is 2d)

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Fig. 2

A schematic of the circular hole crack 0, x–y coordinates and boundary element discretization (the geometry size and load distribution are not pictured in the figure)

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Fig. 3

A schematic of the circular hole crack 1 (or the circular hole crack-1) and boundary element discretization

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Fig. 4

A schematic of an infinite sequence of collinear cracks with the same length

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Fig. 5

A schematic of an infinite sequence of collinear cracks subjected to concentrated loads 2P

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Fig. 6

Normalized SIFs of an infinite sequence of collinear cracks subjected to concentrated loads 2P and uniform internal pressure P/a

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Fig. 7

Variations of ratio with a/d



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