Evaluation of the T-stress for multiple cracks in an elastic half-plane using singular integral equation and Green’s function method

2014 ◽  
Vol 228 ◽  
pp. 17-30 ◽  
Author(s):  
Y.Z. Chen
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Green’S Function ◽  
Half Plane ◽  
Green's Function ◽  
Singular Integral ◽  
Function Method ◽  
Multiple Cracks ◽  
Green’S Function Method ◽  
T Stress

EVALUATION OF THE T-STRESS FOR MULTIPLE CRACKS IN AN INFINITE PLATE USING SINGULAR INTEGRAL EQUATION

2014 ◽  
Vol 11 (05) ◽  
pp. 1350073 ◽  
Author(s):  
Y. Z. CHEN ◽  
Z. X. WANG
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Singular Integral ◽  
Infinite Plate ◽  
Multiple Cracks ◽  
Numerical Examples ◽  
T Stress ◽  
Crack Tips ◽  
Remote Loading ◽  
Crack Faces

This paper studies T-stress problem for multiple cracks in an infinite plate with the remote loading. After some manipulations, the problem can be modeled by dislocation distributions along the crack faces. A singular integral equation is formulated for the problem, where the unknowns are the dislocation distribution along the crack faces. The SIFs (stress intensity factor) can be evaluated from the solution of singular integral equation. From a definition for T-stress in the crack back position method and the solution of the singular integral equation, the T-stresses at crack tips can be evaluated accordingly. An explicit formula for the T-stress is provided. Several numerical examples are provided. Accuracy of computation is examined by an example.

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method

Approximate Solution Of A Singular Integral Equation With A Multiplicative Cauchy Kernel In The Half-Plane

2008 ◽  
Vol 8 (2) ◽  
pp. 143-154 ◽  
Author(s):  
P. KARCZMAREK
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Singular Integral Equation ◽  
Half Plane ◽  
Singular Integral ◽  
Trigonometric Polynomials ◽  
Cauchy Kernel

AbstractIn this paper, Jacobi and trigonometric polynomials are used to con-struct the approximate solution of a singular integral equation with multiplicative Cauchy kernel in the half-plane.

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