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Antiplane Problem of Periodically Stacked Parallel Cracks in an Infinite Orthotropic Plate
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-23
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
The antiplane problem of the periodic parallel cracks in an infinite linear elastic orthotropic composite plate is studied in this paper.
The antiplane problem is turned into the boundary value problem of partial differential equation.
By constructing proper Westergaard stress function and using the periodicity of the hyperbolic function, the antiplane problem of the periodic parallel cracks degenerates into an algebra problem.
Using the complex variable function method and the undetermined coefficients method, as well as with the help of boundary conditions, the boundary value problem of partial differential equation can be solved, and the analytic expressions for stress intensity factor, stress, and displacement near the periodical parallel cracks tip are obtained.
When the cracks spacing tends to infinity, the antiplane problem of the periodic parallel cracks degenerates into the case of the antiplane problem of a single central crack.
American Psychological Association (APA)
Wu, Long& Du, Pengcheng. 2015. Antiplane Problem of Periodically Stacked Parallel Cracks in an Infinite Orthotropic Plate. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1074842
Modern Language Association (MLA)
Wu, Long& Du, Pengcheng. Antiplane Problem of Periodically Stacked Parallel Cracks in an Infinite Orthotropic Plate. Mathematical Problems in Engineering No. 2015 (2015), pp.1-4.
https://search.emarefa.net/detail/BIM-1074842
American Medical Association (AMA)
Wu, Long& Du, Pengcheng. Antiplane Problem of Periodically Stacked Parallel Cracks in an Infinite Orthotropic Plate. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1074842
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074842