A hypersingular boundary integral equation for antiplane crack problems for a class of inhomogeneous anisotropic elastic materials

1999 ◽  
Vol 23 (7) ◽  
pp. 567-572 ◽  
Author(s):  
W.T Ang ◽  
D.L Clements ◽  
T Cooke
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Boundary Integral ◽  
Elastic Materials ◽  
Crack Problems ◽  
Anisotropic Elastic ◽  
Hypersingular Boundary Integral Equation

On the Numerical Boundary Integral Equation Method for Three-Dimensional Dynamic Shear Crack Problems

1987 ◽  
Vol 54 (1) ◽  
pp. 99-104 ◽  
Author(s):  
S. Das ◽  
B. V. Kostrov
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Shear Crack ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Crack Plane ◽  
Dynamic Shear ◽  
Crack Problems

The numerical boundary integral equation method for the solution of dynamic shear crack problems is discussed in detail, including the questions of the numerical approximation, stability, and efficiency. In particular, the necessary conditions for stability are developed. In addition to a discussion of the original algorithm proposed by Das (1980), a new version is proposed which is more efficient for some important particular cases, due to the fact that the domain of integration for the necessary convolutions is limited only to the slipping part of the crack plane instead of the entire disturbed area of the crack plane.

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