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Research Papers: Design and Analysis

Stress Concentration of Periodic Collinear Square Holes in an Infinite Plate in Tension

[+] Author and Article Information
Changqing Miao, 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 August 10, 2013; final manuscript received November 20, 2014; published online February 24, 2015. Assoc. Editor: Wolf Reinhardt.

J. Pressure Vessel Technol 137(5), 051201 (Oct 01, 2015) (8 pages) Paper No: PVT-13-1134; doi: 10.1115/1.4029253 History: Received August 10, 2013; Revised November 20, 2014; Online February 24, 2015

A numerical approach for the stress concentration of periodic collinear holes in an infinite plate in tension is presented. It involves the fictitious stress method and a generalization of Bueckner's principle. Numerical examples are concluded to show that the numerical approach is very efficient and accurate for analyzing the stress concentration of periodic collinear holes in an infinite plate in tension. The stress concentration of periodic collinear square holes in an infinite plate in tension is studied in detail by using the numerical approach. The calculated stress concentration factor is proven to be accurate.

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Figures

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Fig. 1

A schematic of periodic collinear square holes in an infinite plate

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Fig. 2

Kelvin's problem, plane strain

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Fig. 3

Integration of Kelvin's problem

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Fig. 4

A generalization of Bueckner's principle

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Fig. 5

Schematic of periodic collinear circular holes in infinite plate in tension

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Fig. 6

Schematic of numbering of periodic collinear holes

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Fig. 7

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

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Fig. 8

A circular hole in an infinite plate in tension

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Fig. 9

A schematic of a square hole

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