Couple-Stress Solution to an Infinite Plate Bounded by an Elliptical Hole

1970 ◽  
Author(s):  
F. D. Ju ◽  
Y. C. Hsu ◽  
W. J. Wang
Keyword(s):  
Couple Stress ◽  
Infinite Plate ◽  
Elliptical Hole ◽  
Stress Solution

Simulating isochromatics in the vicinity of crack tip using an infinite plate with a thin single elliptical hole

1997 ◽  
Author(s):  
Wellington A. Soares ◽  
Geraldo de Paula Martins ◽  
Arnaldo H. Paes de Andrade ◽  
Leonardo B. Godefroid
Keyword(s):  
Infinite Plate ◽  
Crack Tip ◽  
Elliptical Hole

Hole Crack Problems in Infinite Elastic Plate in Tension

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
Xiangqiao Yan ◽  
Baoliang Liu
Keyword(s):  
Elastic Plate ◽  
Homogeneous Problem ◽  
Crack Problem ◽  
Infinite Plate ◽  
Elliptical Hole ◽  
Numerical Approach ◽  
Displacement Discontinuity ◽  
Center Crack ◽  
Crack Problems ◽  
Hole Geometry

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.

Applying Condition of Kirsch’s Stress Solution for Plate with Central Hole in the Engineering

2012 ◽  
Vol 166-169 ◽  
pp. 3012-3017
Author(s):  
Shao Qing Su ◽  
Ya Qi Che
Keyword(s):  
Stress Concentration ◽  
Infinite Plate ◽  
Central Hole ◽  
Application Range ◽  
Stress Solution ◽  
Rectangular Coordinates

The stress concentration around a hole in an infinite plate is discussed in elasticity. However, the problem that how large of a plate can be considered as an infinite plate does not be solved still in engineering. Based on the analysis of prerequisite of Kirch’s solution in the rectangular coordinates, two indicators defined as dimensionless stresses are proposed to determine the application range of Kirch’s stress solution. In relation to the diameter of the central hole, several minimum coefficients of the dimension of the plate are obtained and discussed. These coefficients are useful to engineers.

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