Mode Stresses for the Interaction between Straight and Curved Cracks Problem in Plane Elasticity

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References

[1] Helsing, J. (2011) A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curved. SIAM Journal on Scientific Computing, 33, 153-174. http://dx.doi.org/10.1137/090779218

[2] Helsing, J. and Peters, G. (1999) Integral Equation Methods and Numerical Solutions of Crack and Inclusion Problems in Planar Elastostatics. SIAM Journal on Applied Mathematics, 59, 965-982.

[3] Chen, Y.Z., Hasebe, N. and Lee, K.Y. (2003) Multiple Crack Problems in Elasticity. WIT Press, Southampton.

[4] Johnson, J. and Qu, J. (2007) An Interaction Integral Method for Computing Mixed Mode Stress Intensity Factors for Curved Biomaterial Interface Cracks in Non-Uniform Temperature Fields. Engineering Fracture Mechanics, 74, 2282- 2291. http://dx.doi.org/10.1016/j.engfracmech.2006.10.008

[5] Chen, Y.Z. and Lin, X.Y. (2010) Numerical Solution of Singular Integral Equation for Multiple Curved Branch-Cracks. Structural Engineering and Mechanics, 34, 85-95. http://dx.doi.org/10.12989/sem.2010.34.1.085

[6] Chen, Y.Z. and Hasebe, N. (1997) Fredholm Integral Equation for the Multiple Circular Arc Crack Problem in Plane Elasticity. Archieve of Applied Mechanics, 67, 433-446. http://dx.doi.org/10.1007/s004190050129

[7] Nik Long, N.M.A. and Eshkuvatov, Z.K. (2009) Hypersingular Integral Equation for Multiple Curved Crack Problem in Antiplane Elasticity. International Journal of Solids and Structures, 46, 2611-2617.
http://dx.doi.org/10.1016/j.ijsolstr.2009.02.008

[8] Chen, Y.Z., Gross, D. and Huang, Y.J. (1991) Numerical Solution of the Curved Crack Problem by Means of Polynomial Approximation of the Dislocation Distribution. Engineering Fracture Mechanics, 39, 791-797.
http://dx.doi.org/10.1016/0013-7944(91)90184-3

[9] Muskhelishvili, N.I. (1957) Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff International Publishing, Leyden.

[10] Cotterell, B. and Rice, J.R. (1980) Slightly Curved or Kinked Cracks. International Journal of Fracture, 6, 155-169.
http://dx.doi.org/10.1007/BF00012619

[11] Mayrhofer, K. and Fischer, F.D. (1992) Derivation of a New Analytical Solution for a General Two Dimensional Finite-Part Integral Applicable in Fracture Mechanics. International Journal of Numerical Method in Engineering, 33, 1027-1047. http://dx.doi.org/10.1002/nme.1620330509