scholarly journals Analysis for a crack emanating from a corner of a square hole in an infinite plate using the hybrid displacement discontinuity method

2004 ◽  
Vol 28 (9) ◽  
pp. 835-847 ◽  
Author(s):  
Xiangqiao Yan
Keyword(s):  
Infinite Plate ◽  
Displacement Discontinuity ◽  
Displacement Discontinuity Method ◽  
Square Hole

Two Circular-Hole Cracks of the Same Size in an Infinite Plate in Tension

2017 ◽  
Vol 139 (4) ◽  
Author(s):  
Changqing Miao ◽  
Yintao Wei ◽  
Xiangqiao Yan
Keyword(s):  
Circular Hole ◽  
Infinite Plate ◽  
Numerical Results ◽  
Displacement Discontinuity ◽  
Displacement Discontinuity Method ◽  
Bueckner’S Principle

This note is concerned with two circular-hole cracks of the same size in an infinite plate in tension by means of the generation of Bueckner's principle and the hybrid displacement discontinuity method. Many numerical results which can reveal the interactions of two circular-hole cracks are given.

Interfacial Stresses of a Coated Square Hole Induced by a Remote Uniform Heat Flow

2020 ◽  
Vol 12 (06) ◽  
pp. 2050063
Author(s):  
S. C. Tseng ◽  
C. K. Chao ◽  
F. M. Chen
Keyword(s):  
Heat Flow ◽  
Shape Factor ◽  
Coating Layer ◽  
Infinite Plate ◽  
Interfacial Stress ◽  
Graphical Form ◽  
Shear Stresses ◽  
Interfacial Stresses ◽  
Uniform Heat ◽  
Square Hole

This paper presents an analytical solution of a coated square hole embedded in an isotropic infinite plate under a remote uniform heat flow. Based on conformal mapping, analytic continuation theorem and the alternation technique, temperature and stress functions are derived in a compact series form. Results of temperature contours and interfacial stresses are validated using the finite element method. The comparison indicates the high accuracy of the proposed method. Numerical results of both the interfacial normal and shear stresses for different properties and geometric parameters of a coated layer are provided in a graphical form. The results indicate that the interfacial stresses are highly dependent on the thermal expansion coefficient, thickness of the coating layer and shape factor of the coated square hole. In conclusion, the interfacial shear stresses exhibit a significant increase at the corners with abrupt geometrical changes, which would cause the delamination of the coating layer system. Furthermore, increasing the thickness of the coating layer and the shape factor results in a higher interfacial stress.

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