This paper deals with crack(s) emanating from a hole in infinite elastic plate in tension. Such a crack problem is called a hole crack problem for short. By extending Buckner’s principle suited for a crack to a hole crack problem in infinite plate in tension, here, the original problem (the hole crack problem in infinite plate in tension) is divided into a homogeneous problem (the one without hole crack) subjected to remote loads and a hole crack problem in an unloaded body with applied tractions on the surfaces of the hole and crack. Thus, the results in terms of the stress intensity factors (SIFs) can be obtained by considering the latter problem, which is analyzed easily by means of a hybrid displacement discontinuity (a boundary element method) proposed recently by Yan. Numerical examples are included to illustrate that the numerical approach is very simple and effective for analyzing the hole crack problem in infinite plate in tension. By using the proposed approach, three hole crack problems (i.e., a pair of cracks emanating from an elliptical hole, a pair of cracks emanating from a rhombus hole, and a crack emanating from a triangular hole in infinite plate in tension) are analyzed in detail. By changing the hole geometry form and the hole geometry parameters and by comparing the SIFs of the hole crack problem with those of the center crack problem, the effect of the hole geometry form and the hole geometry parameters on the SIFs is revealed. It is found that a hole has a shielding and an amplifying effect on the SIFs of crack(s) emanating from the hole. The shielding and amplifying effects varied with the hole geometry form and the hole geometry parameters.
Skip Nav Destination
Article navigation
August 2011
Research Papers
Hole Crack Problems in Infinite Elastic Plate in Tension
Xiangqiao Yan,
Xiangqiao Yan
Research Laboratory on Composite Materials,
Harbin Institute of Technology
, Harbin 150001, P.R. China
Search for other works by this author on:
Baoliang Liu
Baoliang Liu
Research Laboratory on Composite Materials,
Harbin Institute of Technology
, Harbin 150001, P.R. China
Search for other works by this author on:
Xiangqiao Yan
Research Laboratory on Composite Materials,
Harbin Institute of Technology
, Harbin 150001, P.R. China
Baoliang Liu
Research Laboratory on Composite Materials,
Harbin Institute of Technology
, Harbin 150001, P.R. ChinaJ. Pressure Vessel Technol. Aug 2011, 133(4): 041208 (10 pages)
Published Online: May 18, 2011
Article history
Received:
February 8, 2010
Revised:
June 21, 2010
Online:
May 18, 2011
Published:
May 18, 2011
Citation
Yan, X., and Liu, B. (May 18, 2011). "Hole Crack Problems in Infinite Elastic Plate in Tension." ASME. J. Pressure Vessel Technol. August 2011; 133(4): 041208. https://doi.org/10.1115/1.4002261
Download citation file:
Get Email Alerts
Cited By
The Behavior of Elbow Elements at Pure Bending Applications Compared to Beam and Shell Element Models
J. Pressure Vessel Technol (February 2025)
Related Articles
Trefftz Finite Element Method and Its Applications
Appl. Mech. Rev (September,2005)
Theories and Applications of Plate Analysis: Classical, Numerical and Engineering Methods
Appl. Mech. Rev (November,2004)
Target Configurations for Plate-Impact Recovery Experiments
J. Appl. Mech (June,1992)
Local Solutions in Potential Theory and Linear Elasticity Using Monte Carlo Methods
J. Appl. Mech (May,2003)
Related Proceedings Papers
Related Chapters
Stress Intensity Factor for an Elliptical Crack Approaching the Surface of a Plate in Bending
Stress Analysis and Growth of Cracks: Proceedings of the 1971 National Symposium on Fracture Mechanics: Part 1
A 3D Cohesive Modelling Approach for Hydrogen Embrittlement in Welded Joints of X70 Pipeline Steel
International Hydrogen Conference (IHC 2012): Hydrogen-Materials Interactions
Crack(s) in a Rod or a Plate by Energy Rate Analysis
The Stress Analysis of Cracks Handbook, Third Edition