Singularities interacting with a coated circular inhomogeneity are analyzed with the method of analytic continuation and the Schwarz–Neumann’s alternating technique. It is shown that the solution for singularities in a homogeneous medium can be used as a building block of the solution for the same singularities interacting with a coated circular inclusion. The obtained solutions have series forms independent of any specific information about singularities, and thus they can be interpreted as general solutions for a variety of singularities.
Issue Section:
Technical Briefs
1.
Luo
, H. A.
, and Chen
, Y.
, 1991, “An Edge Dislocation in a Three-Phase Composite Cylinder Model
,” ASME J. Appl. Mech.
0021-8936, 58
, pp. 75
–86
.2.
Qaissaunee
, M. T.
, and Santare
, M. H.
, 1995, “Edge Dislocation Interacting With an Elliptical Inclusion Surrounded by an Interfacial Zone
,” Q. J. Mech. Appl. Math.
0033-5614, 48
, pp. 465
–482
.3.
Xiao
, Z. M.
, and Chen
, B. J.
, 2000, “A Screw Dislocation Interacting With a Coated Fiber
,” Mech. Mater.
0167-6636, 32
, pp. 485
–494
.4.
Liu
, Y. W.
, Jiang
, C. P.
, and Cheung
, Y. K.
, 2003, “A Screw Dislocation Interacting With an Interphase Layer Between a Circular Inhomogeneity and the Matrix
,” Int. J. Eng. Sci.
0020-7225, 41
, pp. 1883
–1898
.5.
Chao
, C. K.
, Chen
, F. M.
, and Shen
, M. H.
, 2006, “Circularly Cylindrical Layered Media in Plane Elasticity
,” Int. J. Solids Struct.
0020-7683, 43
, pp. 4739
–4756
.6.
Suo
, Z.
, 1989, “Singularities Interacting With Interfaces and Cracks
,” Int. J. Solids Struct.
0020-7683, 25
, pp. 1133
–1142
.7.
Lee
, K. W.
, Choi
, S. T.
, and Earmme
, Y. Y.
, 1999, “A Circular Inhomogeneity Problem Revisited
,” ASME J. Appl. Mech.
0021-8936, 66
, pp. 276
–278
.8.
Sokolnikoff
, I. S.
, 1956, Mathematical Theory of Elasticity
, McGraw-Hill
, New York
, pp. 318
–326
.9.
Choi
, S. T.
, and Earmme
, Y. Y.
, 2002, “Elastic Study on Singularities Interacting With Interfaces Using Alternating Technique: Part I. Anisotropic Trimaterial
,” Int. J. Solids Struct.
0020-7683, 39
, pp. 943
–957
.10.
Choi
, S. T.
, and Earmme
, Y. Y.
, 2002, “Elastic Study on Singularities Interacting With Interfaces Using an Alternating Technique: Part II. Isotropic Trimaterial
,” Int. J. Solids Struct.
0020-7683, 39
, pp. 1199
–1211
.11.
Muskhelishvili
, N. I.
, 1953, Some Basic Problems of the Mathematical Theory of Elasticity
, Noordhoff
, Groningen
, pp. 105
–175
.Copyright © 2008
by American Society of Mechanical Engineers
You do not currently have access to this content.
