TY - JOUR
T1 - The analysis of stress intensity factors in two interacting collinear asymmetric cracks in a finite plate
AU - Peng, Daren
AU - Jones, Rhys
PY - 2015
Y1 - 2015
N2 - This paper uses a Fourier transform technique to solve the problem of two interacting collinear unequal cracks in a finite width plate. This approach reduces the problem to the solution of two coupled integral equations each with a singular kernel which is the solved using Cauchy-Chebyshev polynomials. The solution is first validated by comparing the solutions for the case of two equal cracks in a finite width plate and for the case of two unequal cracks in an infinite width plate with published solutions. The problem of (interacting) cracks that grow from collocated corrosion pits that lie close to the edge of a structural member is then studied. Here it is shown that the closer that the two cracks are to a boundary accelerates crack growth towards the boundary and decelerates linking of the cracks.
AB - This paper uses a Fourier transform technique to solve the problem of two interacting collinear unequal cracks in a finite width plate. This approach reduces the problem to the solution of two coupled integral equations each with a singular kernel which is the solved using Cauchy-Chebyshev polynomials. The solution is first validated by comparing the solutions for the case of two equal cracks in a finite width plate and for the case of two unequal cracks in an infinite width plate with published solutions. The problem of (interacting) cracks that grow from collocated corrosion pits that lie close to the edge of a structural member is then studied. Here it is shown that the closer that the two cracks are to a boundary accelerates crack growth towards the boundary and decelerates linking of the cracks.
UR - http://www.sciencedirect.com/science/article/pii/S0167844214001700/pdfft?md5=ed121805690a84a14bff2fed7a4ce396&pid=1-s2.0-S0167844214001700-main.pdf
U2 - 10.1016/j.tafmec.2014.10.007
DO - 10.1016/j.tafmec.2014.10.007
M3 - Article
SN - 0167-8442
VL - 75
SP - 53
EP - 58
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
ER -