Analysis of Mode I Periodic Parallel Cracks-Tip Stress Field in an Infinite Orthotropic Plate
Joint Authors
Zhang, Xuexia
Hu, Zhixin
Yu, Lujuan
Xie, Hailing
Zhao, Wenbin
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The mechanical behavior near crack tip for periodic parallel cracks in an orthotropic composite plate subjected to the uniformly distributed load within the cracks surface is studied.
The mechanical problem is turned into the boundary value problem of partial differential equation.
By using the periodicity of the hyperbolic function in the complex domain and constructing proper Westergaard stress function, the periodicity of parallel cracks can be removed.
Using the complex variable function method and the undetermined coefficients method, the boundary value problem of partial differential equation can be solved with the help of boundary conditions.
The analytic expressions for stress intensity factor, stress, and displacement near the crack tip of periodical parallel cracks are obtained.
When the vertical distance of cracks tends to infinity, the stress intensity factor degenerates into a single central crack situation.
The stress intensity factor around the crack tip of periodic parallel cracks in an orthotropic composite plate depends on the shape factor.
The interaction happens between the cracks.
Finally, a numerical analysis of the stress and displacement changed with the polar angle is done.
American Psychological Association (APA)
Zhao, Wenbin& Yu, Lujuan& Zhang, Xuexia& Xie, Hailing& Hu, Zhixin. 2013. Analysis of Mode I Periodic Parallel Cracks-Tip Stress Field in an Infinite Orthotropic Plate. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1031875
Modern Language Association (MLA)
Zhao, Wenbin…[et al.]. Analysis of Mode I Periodic Parallel Cracks-Tip Stress Field in an Infinite Orthotropic Plate. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1031875
American Medical Association (AMA)
Zhao, Wenbin& Yu, Lujuan& Zhang, Xuexia& Xie, Hailing& Hu, Zhixin. Analysis of Mode I Periodic Parallel Cracks-Tip Stress Field in an Infinite Orthotropic Plate. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1031875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031875